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

Time bar (total: 5.0s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze143.0ms (2.9%)

Memory
-0.9MiB live, 46.4MiB 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)

sample943.0ms (18.9%)

Memory
15.7MiB live, 311.9MiB allocated
Samples
705.0ms8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 567.0ms
ival-sin: 313.0ms (55.2% of total)
ival-mult: 132.0ms (23.3% of total)
ival-div: 105.0ms (18.5% of total)
exact: 9.0ms (1.6% of total)
ival-true: 5.0ms (0.9% of total)
ival-assert: 3.0ms (0.5% of total)
Bogosity

explain113.0ms (2.3%)

Memory
-5.8MiB live, 65.0MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
650-3(-1.0324997840141506e-160)(/.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))))
0125(5.523476376747367e+119)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)))sensitivity1250
/.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/n620
↳(*.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))))underflow62
Confusion
Predicted +Predicted -
+623
-12566
Precision
0.3315508021390374
Recall
0.9538461538461539
Confusion?
Predicted +Predicted MaybePredicted -
+6203
-125066
Precision?
0.3315508021390374
Recall?
0.9538461538461539
Freqs
test
numberfreq
069
1187
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Total Time
26.615478515625
Average Time
0.10396671295166016
Samples
49.0ms512×0valid
Compiler

Compiled 179 to 48 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-sin: 20.0ms (56.5% of total)
ival-mult: 8.0ms (22.6% of total)
ival-div: 6.0ms (16.9% of total)
exact: 1.0ms (2.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess48.0ms (1%)

Memory
-1.7MiB live, 5.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
13529
29528
329628
490028
5174728
6184828
7187828
8190628
9191828
10199028
11242528
01114
01914
12614
23614
34514
44814
04814
Stop Event
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.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))
Outputs
(/.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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶76.5%
(/.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 16 to 11 computations (31.3% saved)

simplify3.0ms (0.1%)

Memory
0.7MiB live, 0.7MiB 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))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01145
01945
12645
23645
34545
44845
04845
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.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 (/.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))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
Outputs
(/.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 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.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))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
#s(literal 8/3 binary64)
#s(literal 8 binary64)
#s(literal 3 binary64)
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)

localize33.0ms (0.7%)

Memory
-3.8MiB live, 12.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(sin.f64 x)
accuracy0.21484375
(*.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))))
accuracy0.33203125
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy14.889188941318734
(/.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
25.0ms256×0valid
Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 18.0ms
ival-sin: 9.0ms (50.7% of total)
ival-mult: 4.0ms (22.5% of total)
ival-div: 3.0ms (16.9% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series4.0ms (0.1%)

Memory
1.8MiB live, 1.8MiB allocated
Counts
5 → 20
Calls
Call 1
Inputs
(/.f64 #s(literal 8 binary64) #s(literal 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 (/.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))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
Outputs
(* 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))))))))
(* 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 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))))
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))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Calls

3 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
((/ 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))
1.0ms
x
@inf
((/ 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))
1.0ms
x
@0
((/ 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))

simplify174.0ms (3.5%)

Memory
4.7MiB live, 43.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97805219
08072195
Stop Event
1×iter limit
1×node limit
Counts
20 → 19
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))))))))
(* 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 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))))
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))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)

rewrite119.0ms (2.4%)

Memory
-14.2MiB live, 27.1MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01134
01934
13428
211528
362824
0491524
Stop Event
1×iter limit
1×iter limit
1×node limit
1×iter limit
Counts
5 → 286
Calls
Call 1
Inputs
(/.f64 #s(literal 8 binary64) #s(literal 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 (/.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))))
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 x)
Outputs
#s(literal 8/3 binary64)
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (neg.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)))))
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64))) (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))) #s(literal -1/2 binary64)))
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(/.f64 (*.f64 #s(literal -8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) #s(literal -2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 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 #s(literal -1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 3 binary64))) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))))
(/.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 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal 1 binary64) (neg.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)))) #s(literal 0 binary64))
(fma.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64)) #s(literal 1/2 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -8/3 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal -8/3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 (neg.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)))) #s(literal 0 binary64))
(fma.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal 0 binary64))
(fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64) #s(literal 0 binary64))
(fma.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 8/3 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 0 binary64))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 8/3 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 8/3 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 1 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 8/3 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) #s(literal 0 binary64))
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal 8/3 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 x))))
(+.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)))
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 0 binary64))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -8/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(/.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 0 binary64))))
(/.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 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (sin.f64 x))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) (sin.f64 x) #s(literal 0 binary64))
(fma.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (sin.f64 x) #s(literal 0 binary64))

eval30.0ms (0.6%)

Memory
2.8MiB live, 26.6MiB allocated
Compiler

Compiled 5 007 to 763 computations (84.8% saved)

prune24.0ms (0.5%)

Memory
0.2MiB live, 23.6MiB allocated
Pruning

31 alts after pruning (31 fresh and 0 done)

PrunedKeptTotal
New27431305
Fresh000
Picked101
Done000
Total27531306
Accuracy
100.0%
Counts
306 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.5%
(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 #s(literal -1/2 binary64) (cos.f64 x))))
51.7%
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
▶51.7%
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
51.7%
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
51.7%
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))
51.6%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
76.5%
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
51.7%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
▶76.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
28.5%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
28.4%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
29.8%
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
51.7%
(/.f64 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
51.7%
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
51.6%
(*.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
▶51.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
99.3%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
▶99.5%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
98.9%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
99.3%
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
51.6%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
51.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
98.9%
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
51.6%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64)))
51.7%
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
76.4%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
▶52.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 040 to 764 computations (26.5% saved)

simplify197.0ms (4%)

Memory
-0.6MiB live, 8.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff0
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
cost-diff0
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
cost-diff0
(cos.f64 x)
cost-diff0
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
cost-diff1088
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
cost-diff6464
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff384
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
cost-diff6592
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
cost-diff0
(*.f64 #s(literal 2/3 binary64) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
cost-diff0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
cost-diff384
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
cost-diff576
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
Iterations

Useful iterations: 11 (0.0ms)

IterNodesCost
039190
060171
192168
2122168
3160168
4223168
5331168
6595168
7967168
81161168
91547168
101922168
112560166
122924166
133615166
144285166
154666166
165141166
175763166
186050166
196596166
207200166
217200166
227200166
237200166
247505166
08014166
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
#s(literal 4/3 binary64)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
#s(literal 2/3 binary64)
x
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(sin.f64 x)
#s(literal 4/3 binary64)
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 1/2 binary64)
(sin.f64 x)
#s(literal 3/8 binary64)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize144.0ms (2.9%)

Memory
0.8MiB live, 46.4MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
accuracy0.20703125
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.2890625
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy14.889188941318734
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
accuracy0
(cos.f64 x)
accuracy0.1328125
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
accuracy14.827737175115018
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
accuracy15.728090215095948
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
accuracy0
(cos.f64 x)
accuracy0.28515625
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
accuracy14.822867879794565
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
accuracy15.74295946178913
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.2890625
(*.f64 #s(literal 2/3 binary64) x)
accuracy30.49054557541085
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy0
(sin.f64 x)
accuracy0.08203125
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
accuracy0.13671875
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
accuracy0.21875
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
Samples
44.0ms70×2valid
43.0ms128×0valid
16.0ms42×1valid
11.0ms15×3valid
2.0ms1×4valid
Compiler

Compiled 375 to 76 computations (79.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 91.0ms
ival-cos: 22.0ms (24.1% of total)
ival-sin: 16.0ms (17.5% of total)
ival-mult: 15.0ms (16.4% of total)
ival-div: 13.0ms (14.2% of total)
const: 8.0ms (8.8% of total)
adjust: 7.0ms (7.7% of total)
ival-pow2: 3.0ms (3.3% of total)
ival-sub: 2.0ms (2.2% of total)
ival-add: 2.0ms (2.2% of total)
exact: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series10.0ms (0.2%)

Memory
4.3MiB live, 4.3MiB allocated
Counts
18 → 57
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 x)
Outputs
(* 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 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))))
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)))))))
(* 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))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 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))))
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))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(/ (- 1 (cos x)) (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(cos x)
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin x)
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@inf
((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x))
3.0ms
x
@-inf
((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x))
2.0ms
x
@0
((* (/ (sin (* x 1/2)) (sin x)) (/ (sin (* x 1/2)) 3/8)) (/ (sin (* x 1/2)) 3/8) (/ (sin (* x 1/2)) (sin x)) (sin (* x 1/2)) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (- 1 (cos x)) (sin x)) (* (/ (- 1 (cos x)) (sin x)) 4/3) (- 1 (cos x)) (cos x) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (+ (* -1/2 (cos x)) 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (sin x))

simplify170.0ms (3.4%)

Memory
-5.8MiB live, 43.1MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0217617
1636617
21589611
32945611
45202611
55495611
65915611
76863611
08022542
Stop Event
1×iter limit
1×node limit
Counts
57 → 56
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 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))))
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)))))))
(* 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))))
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/2 (pow x 2))
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 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))))
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))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (sin (* 1/2 x)))
(/ (sin (* 1/2 x)) (sin x))
(sin (* 1/2 x))
(/ (- 1 (cos x)) (sin x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(- 1 (cos x))
(cos x)
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(+ 1/2 (* -1/2 (cos x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
1/2
#s(literal 1/2 binary64)
(+ 1/2 (* 1/16 (pow x 2)))
(fma.f64 #s(literal 1/16 binary64) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* 5/768 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/768 binary64) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(+ 1/2 (* (pow x 2) (+ 1/16 (* (pow x 2) (+ 5/768 (* 61/92160 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/92160 binary64) (*.f64 x x) #s(literal 5/768 binary64)) (*.f64 x x) #s(literal 1/16 binary64)) (*.f64 x x) #s(literal 1/2 binary64))
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* 1/4 (pow x 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x)
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 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 (cos x)) (sin x))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin 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)))
(+ 1/2 (* -1/2 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin x)
(sin.f64 x)

rewrite135.0ms (2.7%)

Memory
5.4MiB live, 50.3MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039156
060138
1167138
2830138
37005138
08097138
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
18 → 878
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
(*.f64 #s(literal 2/3 binary64) x)
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x))
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (sin.f64 x)) #s(literal 3/8 binary64))
(fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 x)
Outputs
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (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)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (sin.f64 x))) (/.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.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)) (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (neg.f64 (sin.f64 x))) #s(literal -8/3 binary64))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal 8/3 binary64) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.f64 (neg.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 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (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))) (neg.f64 (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64)))
(*.f64 (neg.f64 (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 #s(literal -1 binary64) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.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))) (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
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(neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))))
(*.f64 (*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64)) (/.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (sqrt.f64 (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 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.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 #s(literal -8/3 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -8/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (neg.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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(*.f64 #s(literal 8/3 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.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 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 #s(literal -3/8 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal -3/8 binary64))
(/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)) #s(literal 3/8 binary64))
(/.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -3/8 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 3/4 binary64))
(/.f64 (neg.f64 (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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -3/8 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 (*.f64 #s(literal 8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(-.f64 #s(literal 4/3 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))) (/.f64 (+.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1/8 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3 binary64))) (+.f64 #s(literal 1/4 binary64) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))))
(neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) #s(literal 1 binary64)))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 x)))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(neg.f64 (neg.f64 (sin.f64 x)))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))

eval123.0ms (2.5%)

Memory
8.7MiB live, 92.4MiB allocated
Compiler

Compiled 20 047 to 2 904 computations (85.5% saved)

prune25.0ms (0.5%)

Memory
-5.9MiB live, 43.4MiB allocated
Pruning

19 alts after pruning (17 fresh and 2 done)

PrunedKeptTotal
New995111 006
Fresh20626
Picked325
Done000
Total1 018191 037
Accuracy
100.0%
Counts
1 037 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
51.8%
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))
▶51.6%
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
99.4%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
99.5%
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64)))
52.4%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
▶99.1%
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
99.1%
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓51.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
98.9%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
51.6%
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
51.6%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
51.6%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
▶99.6%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
52.0%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
▶52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
▶52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓52.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 521 to 410 computations (21.3% saved)

simplify20.0ms (0.4%)

Memory
4.3MiB live, 4.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
cost-diff0
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
cost-diff128
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
cost-diff320
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff1088
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
cost-diff6080
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
cost-diff0
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041224
064220
197212
2162212
3299212
4634212
51104212
61136212
71141212
01141210
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
#s(literal 1 binary64)
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 4/3 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
#s(literal 4/3 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 8/3 binary64)
(sin.f64 x)
Outputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal 4/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 4/3 binary64)
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.f64 x #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
x
#s(literal -1 binary64)
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(*.f64 #s(literal -4/3 binary64) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(cos.f64 x)
x
#s(literal 8/3 binary64)
(sin.f64 x)

localize189.0ms (3.8%)

Memory
-7.1MiB live, 59.9MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 x)
accuracy0.22265625
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
accuracy14.889188941318734
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
accuracy15.904089744563597
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
accuracy0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.265625
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
accuracy0.28515625
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.46880030938296646
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
accuracy0.0546875
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
accuracy0.06640625
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
accuracy0.17578125
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy30.598248796495383
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
accuracy0
(*.f64 x x)
accuracy0.09375
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy0.17578125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy30.593294309808957
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
accuracy0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.28515625
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Samples
62.0ms70×2valid
55.0ms128×0valid
23.0ms42×1valid
19.0ms16×3valid
Compiler

Compiled 441 to 86 computations (80.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 132.0ms
const: 30.0ms (22.8% of total)
ival-mult: 30.0ms (22.8% of total)
ival-cos: 21.0ms (16% of total)
adjust: 13.0ms (9.9% of total)
ival-sin: 10.0ms (7.6% of total)
ival-div: 8.0ms (6.1% of total)
ival-add: 8.0ms (6.1% of total)
ival-tan: 6.0ms (4.6% of total)
ival-pow: 5.0ms (3.8% of total)
exact: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series15.0ms (0.3%)

Memory
-3.5MiB live, 5.8MiB allocated
Counts
20 → 66
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(cos.f64 x)
Outputs
(* 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 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) 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)
(* 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))))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -4/3 (cos x))
(+ 4/3 (* -4/3 (cos x)))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(* -1/2 (cos x))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(cos x)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
6.0ms
x
@inf
((* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (pow (* 4/3 (tan (* 1/2 x))) -1) (/ 1 (pow (* 4/3 (tan (* 1/2 x))) -1)) (* 4/3 (tan (* 1/2 x))) (* (* -1/2 (cos x)) 8/3) (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (/ (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (sin x)) (* -1/2 (cos x)) (+ (* 17/30240 (* x x)) 1/180) (cos x))
5.0ms
x
@-inf
((* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (pow (* 4/3 (tan (* 1/2 x))) -1) (/ 1 (pow (* 4/3 (tan (* 1/2 x))) -1)) (* 4/3 (tan (* 1/2 x))) (* (* -1/2 (cos x)) 8/3) (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (/ (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (sin x)) (* -1/2 (cos x)) (+ (* 17/30240 (* x x)) 1/180) (cos x))
2.0ms
x
@0
((* (tan (* 1/2 x)) 4/3) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (pow (* 4/3 (tan (* 1/2 x))) -1) (/ 1 (pow (* 4/3 (tan (* 1/2 x))) -1)) (* 4/3 (tan (* 1/2 x))) (* (* -1/2 (cos x)) 8/3) (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (/ (+ 4/3 (* (* -1/2 (cos x)) 8/3)) (sin x)) (* -1/2 (cos x)) (+ (* 17/30240 (* x x)) 1/180) (cos x))

simplify142.0ms (2.9%)

Memory
5.0MiB live, 43.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0185680
1507680
21304678
33260674
45886674
08646610
Stop Event
1×iter limit
1×node limit
Counts
66 → 66
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))))))))
(* 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) 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)
(* 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))))
-1/2
(- (* 1/4 (pow x 2)) 1/2)
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -4/3 (cos x))
(+ 4/3 (* -4/3 (cos x)))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(* -1/2 (cos x))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(cos x)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
-4/3
#s(literal -4/3 binary64)
(- (* 2/3 (pow x 2)) 4/3)
(fma.f64 (*.f64 x x) #s(literal 2/3 binary64) #s(literal -4/3 binary64))
(- (* (pow x 2) (+ 2/3 (* -1/18 (pow x 2)))) 4/3)
(fma.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -4/3 binary64))
(- (* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18)))) 4/3)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) (*.f64 x x) #s(literal -4/3 binary64))
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
-1/2
#s(literal -1/2 binary64)
(- (* 1/4 (pow x 2)) 1/2)
(fma.f64 #s(literal 1/4 binary64) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/4 (* -1/48 (pow x 2)))) 1/2)
(fma.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
(- (* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48)))) 1/2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) (*.f64 x x) #s(literal -1/2 binary64))
1/180
#s(literal 1/180 binary64)
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(* 17/30240 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/30240 binary64)) (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* 17/30240 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 4 binary64)) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64) #s(literal 2/3 binary64)))
(* 17/30240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/30240 binary64))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x)
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(* -4/3 (cos x))
(*.f64 (cos.f64 x) #s(literal -4/3 binary64))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(* -1/2 (cos x))
(*.f64 (cos.f64 x) #s(literal -1/2 binary64))
(* 17/30240 (pow x 2))
(*.f64 #s(literal 17/30240 binary64) (*.f64 x x))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(cos x)
(cos.f64 x)
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite157.0ms (3.1%)

Memory
-3.5MiB live, 55.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041192
064188
1199174
21153174
08197172
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 621
Calls
Call 1
Inputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))
(+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(cos.f64 x)
Outputs
(*.f64 (exp.f64 (log.f64 #s(literal 4/3 binary64))) (exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (exp.f64 (log.f64 #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 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))
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) (neg.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #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)))))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (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 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (sqrt.f64 (*.f64 #s(literal 4/3 binary64) (tan.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 1/2 binary64)))
(/.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
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(*.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -17/5443200 binary64))))))
(*.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (pow.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)))) (*.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))) (+.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (fma.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)))) (neg.f64 (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/1049760000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/32400 binary64)) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/34012224000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/1049760000 binary64)) (*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 289/29628426240000 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/34012224000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/5832000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal 118587876497/21146382398483019084984666292224000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/198359290368000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/34012224000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/161273449709568000000 binary64)))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/32400 binary64))) (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (neg.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -17/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(/.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)))
(/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -17/5443200 binary64)))))
(/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (*.f64 (*.f64 x x) #s(literal -17/5443200 binary64)))) (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(neg.f64 (/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(neg.f64 (/.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(neg.f64 (/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))))))
(fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64))
(fma.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(fma.f64 x (*.f64 #s(literal 17/30240 binary64) x) #s(literal 1/180 binary64))
(-.f64 (/.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (neg.f64 (/.f64 #s(literal -1/32400 binary64) (fma.f64 #s(literal -17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(+.f64 (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(+.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))
(cos.f64 x)

eval79.0ms (1.6%)

Memory
2.6MiB live, 62.1MiB allocated
Compiler

Compiled 22 782 to 2 553 computations (88.8% saved)

prune22.0ms (0.4%)

Memory
-0.6MiB live, 32.5MiB allocated
Pruning

22 alts after pruning (17 fresh and 5 done)

PrunedKeptTotal
New64413657
Fresh8412
Picked235
Done022
Total65422676
Accuracy
100.0%
Counts
676 → 22
Alt Table
Click to see full alt table
StatusAccuracyProgram
74.8%
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64))
51.7%
(/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
51.7%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
▶52.4%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
99.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
▶99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
52.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
▶52.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
51.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 3/2 binary64) x)))
99.1%
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
51.6%
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
✓51.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
▶99.4%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
▶98.9%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
✓99.6%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
52.0%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
✓52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x) (*.f64 x x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) x))
✓52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓52.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 627 to 484 computations (22.8% saved)

simplify7.0ms (0.1%)

Memory
1.4MiB live, 1.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
cost-diff0
(+.f64 (cos.f64 x) #s(literal 1 binary64))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
cost-diff6592
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff1088
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
cost-diff0
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
cost-diff0
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
cost-diff0
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
cost-diff0
(*.f64 #s(literal 1/4 binary64) x)
cost-diff0
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
cost-diff0
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041177
061175
182165
2102165
3112165
4121165
5130165
6132165
0132163
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
#s(literal 4/3 binary64)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 3/4 binary64)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(literal 4/3 binary64)
Outputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
#s(literal 4/3 binary64)
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)))
#s(literal 1 binary64)
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/.f64 (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))
#s(literal -1/8 binary64)
(*.f64 x x)
x
#s(literal 3/2 binary64)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
#s(literal 1 binary64)
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/4 binary64)
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(tan.f64 (/.f64 x #s(literal 2 binary64)))
(sin.f64 x)
x
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 x)
#s(literal 1 binary64)
#s(literal 4/3 binary64)

localize154.0ms (3.1%)

Memory
0.0MiB live, 48.6MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 x)
accuracy0.18359375
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
accuracy0.28515625
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
accuracy0.5206324107928163
(+.f64 (cos.f64 x) #s(literal 1 binary64))
accuracy0
(*.f64 x #s(literal 1/2 binary64))
accuracy0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.10546875
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.46880030938296646
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
accuracy0
(*.f64 x x)
accuracy0.46880030938296646
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
accuracy13.731095338923815
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
accuracy30.330713753025268
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
accuracy0
(*.f64 #s(literal 1/4 binary64) x)
accuracy0.1328125
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
accuracy30.493146542900522
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
accuracy0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.00390625
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.16796875
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.28515625
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
Samples
49.0ms128×0valid
48.0ms70×2valid
18.0ms42×1valid
12.0ms15×3valid
2.0ms1×4valid
Compiler

Compiled 332 to 83 computations (75% saved)

Precisions
Click to see histograms. Total time spent on operations: 104.0ms
ival-cos: 25.0ms (24.1% of total)
ival-mult: 17.0ms (16.4% of total)
ival-div: 15.0ms (14.5% of total)
adjust: 12.0ms (11.6% of total)
ival-sin: 10.0ms (9.7% of total)
ival-tan: 9.0ms (8.7% of total)
ival-add: 6.0ms (5.8% of total)
const: 5.0ms (4.8% of total)
ival-pow: 4.0ms (3.9% of total)
exact: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series9.0ms (0.2%)

Memory
-2.5MiB live, 4.8MiB allocated
Counts
21 → 54
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x x)
(cos.f64 x)
Outputs
(* 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 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* x (+ 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))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(pow x 2)
(+ 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)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(sin (* 1/2 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1/8 x)
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(/ (sin x) (+ 1 (cos x)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(sin x)
(+ 1 (cos x))
(cos (* 1/2 x))
(cos x)
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
Calls

3 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
((* (/ (sin (* x 1/2)) (cos (* x 1/2))) 4/3) (/ (sin (* x 1/2)) (cos (* x 1/2))) (sin (* x 1/2)) (* x 1/2) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* 1/4 x) (/ 1 (pow (* 4/3 (tan (* 1/2 x))) -1)) (pow (* 4/3 (tan (* 1/2 x))) -1) (/ (+ (* -1/8 (* x x)) 3/2) x) (+ (* -1/8 (* x x)) 3/2) (/ 1 (/ 3/4 (tan (* x 1/2)))) (/ 3/4 (tan (* x 1/2))) (tan (* x 1/2)) (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) 4/3) (sin x) (+ (cos x) 1) (cos (* x 1/2)) (* x x) (cos x))
3.0ms
x
@inf
((* (/ (sin (* x 1/2)) (cos (* x 1/2))) 4/3) (/ (sin (* x 1/2)) (cos (* x 1/2))) (sin (* x 1/2)) (* x 1/2) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* 1/4 x) (/ 1 (pow (* 4/3 (tan (* 1/2 x))) -1)) (pow (* 4/3 (tan (* 1/2 x))) -1) (/ (+ (* -1/8 (* x x)) 3/2) x) (+ (* -1/8 (* x x)) 3/2) (/ 1 (/ 3/4 (tan (* x 1/2)))) (/ 3/4 (tan (* x 1/2))) (tan (* x 1/2)) (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) 4/3) (sin x) (+ (cos x) 1) (cos (* x 1/2)) (* x x) (cos x))
2.0ms
x
@0
((* (/ (sin (* x 1/2)) (cos (* x 1/2))) 4/3) (/ (sin (* x 1/2)) (cos (* x 1/2))) (sin (* x 1/2)) (* x 1/2) (/ (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) 3/8) (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (* 1/4 x) (/ 1 (pow (* 4/3 (tan (* 1/2 x))) -1)) (pow (* 4/3 (tan (* 1/2 x))) -1) (/ (+ (* -1/8 (* x x)) 3/2) x) (+ (* -1/8 (* x x)) 3/2) (/ 1 (/ 3/4 (tan (* x 1/2)))) (/ 3/4 (tan (* x 1/2))) (tan (* x 1/2)) (/ (sin x) (+ (cos x) 1)) (* (/ (sin x) (+ (cos x) 1)) 4/3) (sin x) (+ (cos x) 1) (cos (* x 1/2)) (* x x) (cos x))

simplify140.0ms (2.8%)

Memory
11.1MiB live, 39.2MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0179523
1476523
21156515
33451515
44739509
56630509
08330449
Stop Event
1×iter limit
1×node limit
Counts
54 → 53
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))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* x (+ 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))))
(* 1/4 x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
2
(+ 2 (* -1/2 (pow x 2)))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
1
(+ 1 (* -1/8 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(pow x 2)
(+ 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)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(sin (* 1/2 x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1/8 x)
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(* -1/8 (pow x 2))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(/ (sin x) (+ 1 (cos x)))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(sin x)
(+ 1 (cos x))
(cos (* 1/2 x))
(cos x)
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* -1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* 1/3840 (pow x 2)) 1/48))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/3840 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/3840 (* -1/645120 (pow x 2)))) 1/48))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/645120 binary64) (*.f64 x x) #s(literal 1/3840 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
2
#s(literal 2 binary64)
(+ 2 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
(+ 2 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 2 binary64))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/384 (pow x 2)) 1/8)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/384 (* -1/46080 (pow x 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 x x) #s(literal 1/384 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 1 binary64))
(pow x 2)
(*.f64 x x)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal -1/2 binary64) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 8/3 (/ (+ 1/2 (* -1/2 (cos x))) (sin x)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/ (+ 1/2 (* -1/2 (cos x))) (sin x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(* -1/8 x)
(*.f64 #s(literal -1/8 binary64) x)
(* x (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))
(* -1/8 (pow x 2))
(*.f64 #s(literal -1/8 binary64) (*.f64 x x))
(* (pow x 2) (- (* 3/2 (/ 1 (pow x 2))) 1/8))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(/ (sin x) (+ 1 (cos x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 4/3 (/ (sin x) (+ 1 (cos x))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(sin x)
(sin.f64 x)
(+ 1 (cos x))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos x)
(cos.f64 x)
(* -1 (* x (- 1/8 (* 3/2 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))

rewrite142.0ms (2.8%)

Memory
-4.2MiB live, 54.6MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041157
061139
1196135
2975135
08139133
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 1 144
Calls
Call 1
Inputs
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x))
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(sin.f64 x)
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x x)
(cos.f64 x)
Outputs
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal -4/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (/.f64 (sin.f64 x) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 (sin.f64 x) (pow.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (sin.f64 x)))
(*.f64 (exp.f64 (log.f64 #s(literal 4/3 binary64))) (exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (exp.f64 (log.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) (exp.f64 (log.f64 #s(literal 4/3 binary64))))
(*.f64 (pow.f64 (/.f64 #s(literal -3/4 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 4/3 binary64)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 4/3 binary64) (pow.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))))
(*.f64 #s(literal -4/3 binary64) (/.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal -4/3 binary64) (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))))
(*.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (/.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(*.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (sin.f64 x) #s(literal 4/3 binary64)))
(*.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 x) #s(literal 4/3 binary64)) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (sin.f64 x) (/.f64 #s(literal 4/3 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))))
(*.f64 (tan.f64 (/.f64 (neg.f64 x) #s(literal 2 binary64))) #s(literal -4/3 binary64))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -3/4 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal 4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(*.f64 (neg.f64 (sin.f64 x)) (*.f64 (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(*.f64 (sin.f64 x) (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #s(literal 1 binary64))
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(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))) (*.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))) (+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (fma.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (*.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) (+.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 4 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 9 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 6 binary64)) #s(literal 1 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) #s(literal 1 binary64))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (-.f64 (cos.f64 x) #s(literal 1 binary64)))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64)))
(/.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(neg.f64 (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (+.f64 (cos.f64 x) #s(literal 1 binary64)) (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (neg.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) #s(literal 1 binary64)) (neg.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (/.f64 (cos.f64 x) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) #s(literal 1 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) #s(literal 1 binary64))
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (cos.f64 x))))
(-.f64 (/.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
(+.f64 (neg.f64 (neg.f64 (cos.f64 x))) #s(literal 1 binary64))
(+.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) #s(literal 1 binary64))) (neg.f64 (pow.f64 (-.f64 (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64))))
(+.f64 (cos.f64 x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (cos.f64 x))))
(+.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(exp.f64 (*.f64 (log.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 x)))
(*.f64 x x)
(pow.f64 (exp.f64 (log.f64 x)) #s(literal 2 binary64))
(pow.f64 (*.f64 x x) #s(literal 1 binary64))
(pow.f64 x #s(literal 2 binary64))
(exp.f64 (*.f64 (log.f64 x) #s(literal 2 binary64)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)

eval79.0ms (1.6%)

Memory
-2.4MiB live, 66.3MiB allocated
Compiler

Compiled 15 342 to 2 437 computations (84.1% saved)

prune30.0ms (0.6%)

Memory
-0.5MiB live, 41.2MiB allocated
Pruning

24 alts after pruning (16 fresh and 8 done)

PrunedKeptTotal
New73210742
Fresh6612
Picked235
Done055
Total74024764
Accuracy
100.0%
Counts
764 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
51.7%
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
99.8%
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
99.7%
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓52.4%
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
✓99.2%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
99.1%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)))
52.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
52.3%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
51.6%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal -9/4 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))))) x)))
51.8%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(approx (+ (* -1/8 (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
52.4%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
52.2%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
2.7%
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
99.1%
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
✓51.7%
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal 4/3 binary64))
✓98.9%
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
98.9%
(*.f64 (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (sin.f64 x))
✓99.6%
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
52.0%
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
✓52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
51.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x) (*.f64 x x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) x))
✓52.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
✓52.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 498 to 630 computations (57.9% saved)

regimes34.0ms (0.7%)

Memory
1.7MiB live, 16.8MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(approx (+ (* -1/8 (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x) (*.f64 x x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal -9/4 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))))) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 x x) #s(literal 2/3 binary64))) (sin.f64 x))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -4/3 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 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 #s(literal -3/4 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 #s(literal 1/2 binary64) x))) #s(literal -3/4 binary64)))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (/.f64 #s(literal -4/3 binary64) (-.f64 #s(literal -1 binary64) (cos.f64 x))) (sin.f64 x))
(*.f64 (/.f64 #s(literal 4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (cos.f64 x)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 x) #s(literal 1 binary64))) #s(literal 4/3 binary64))
(*.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 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(*.f64 (fma.f64 (cos.f64 x) #s(literal 4/3 binary64) #s(literal -4/3 binary64)) (/.f64 #s(literal -1 binary64) (sin.f64 x)))
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #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 -3/8 binary64) (sin.f64 x)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(*.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 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 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 #s(literal 8/3 binary64) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x))) (sin.f64 x)))
(/.f64 (/.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) #s(literal 3/8 binary64)) (neg.f64 (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (/.f64 x #s(literal -2 binary64))))
(/.f64 (/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) (sin.f64 x))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64)))) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal -2 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 #s(literal -8/3 binary64) (pow.f64 (/.f64 (neg.f64 (sin.f64 x)) (fma.f64 #s(literal -1/2 binary64) (cos.f64 x) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64)))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(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 #s(literal -1/2 binary64) (cos.f64 x))))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (/.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (sin.f64 x) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 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 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 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 x #s(literal 1/2 binary64))) (sin.f64 x)) (/.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
Calls

2 calls:

16.0ms
x
16.0ms
(/.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 17 to 12 computations (29.4% saved)

regimes11.0ms (0.2%)

Memory
-1.3MiB live, 6.6MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(approx (+ (* -1/8 (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x) (*.f64 x x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal -9/4 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))))) x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Outputs
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
Calls

2 calls:

5.0ms
x
5.0ms
(/.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
99.6%1x
99.6%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 17 to 12 computations (29.4% saved)

regimes11.0ms (0.2%)

Memory
6.4MiB live, 6.4MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(approx (+ (* -1/8 (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x) (*.f64 x x) (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/64 binary64) (*.f64 x x)) x) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal -3/2 binary64))) (neg.f64 (/.f64 #s(literal -9/4 binary64) (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))))) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
Calls

2 calls:

5.0ms
x
5.0ms
(/.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
52.4%1x
52.4%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 17 to 12 computations (29.4% saved)

regimes10.0ms (0.2%)

Memory
-7.8MiB live, 5.7MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(approx (+ (* -1/8 (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (*.f64 (fma.f64 #s(literal 1/8 binary64) (*.f64 x x) #s(literal -3/2 binary64)) (/.f64 #s(literal -1 binary64) x))))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
Calls

2 calls:

5.0ms
(/.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
52.4%1x
52.4%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 17 to 12 computations (29.4% saved)

regimes7.0ms (0.1%)

Memory
-3.1MiB live, 4.7MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(*.f64 #s(approx (/ (- 1 (cos x)) (sin x)) (*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(approx (+ (* -1/8 (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
Outputs
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
Calls

2 calls:

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))
3.0ms
x
Results
AccuracySegmentsBranch
52.4%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))
52.4%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes4.0ms (0.1%)

Memory
3.4MiB live, 3.4MiB allocated
Accuracy

Total -32.4b remaining (-105.7%)

Threshold costs -32.4b (-105.7%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) #s(approx (/ (+ (* -1/8 (* x x)) 3/2) x) (*.f64 #s(literal -1/8 binary64) x))))
Outputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Calls

2 calls:

2.0ms
(/.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))
2.0ms
x
Results
AccuracySegmentsBranch
52.1%1x
52.1%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 17 to 12 computations (29.4% saved)

simplify20.0ms (0.4%)

Memory
2.8MiB live, 18.7MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04983
15683
Stop Event
1×saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Outputs
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (/.f64 #s(literal 1 binary64) (/.f64 x (fma.f64 (*.f64 x x) #s(literal -1/8 binary64) #s(literal 3/2 binary64))))))
(/.f64 #s(literal 1 binary64) #s(approx (pow (* 4/3 (tan (* 1/2 x))) -1) (fma.f64 #s(literal -1/8 binary64) x (/.f64 #s(literal 3/2 binary64) x))))
(/.f64 #s(approx (/ (+ (* -1/2 (cos x)) 1/2) (sin x)) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))

soundness1.2s (24.4%)

Memory
-6.4MiB live, 9.8MiB allocated
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01134
01934
13428
211528
362824
0491524
0179523
1476523
21156515
33451515
44739509
56630509
08330449
041157
061139
1196135
2975135
08139133
039156
060138
1167138
2830138
37005138
08097138
041192
064188
1199174
21153174
08197172
0217617
1636617
21589611
32945611
45202611
55495611
65915611
76863611
08022542
0185680
1507680
21304678
33260674
45886674
08646610
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97805219
08072195
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×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 349 to 226 computations (35.2% saved)

preprocess50.0ms (1%)

Memory
0.7MiB live, 30.9MiB allocated
Remove

(negabs x)

Compiler

Compiled 270 to 180 computations (33.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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