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

Time bar (total: 7.6s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze354.0ms (4.7%)

Memory
-6.2MiB live, 223.9MiB allocated
Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.6s (21.1%)

Memory
7.9MiB live, 1 428.5MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 886.0ms
ival-sin: 423.0ms (47.8% of total)
ival-mult: 246.0ms (27.8% of total)
ival-div: 195.0ms (22% of total)
exact: 12.0ms (1.4% of total)
ival-true: 6.0ms (0.7% of total)
ival-assert: 4.0ms (0.5% of total)
Bogosity

explain276.0ms (3.6%)

Memory
-10.1MiB live, 202.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
570-5(3.022886813310279e-161)(/.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))))
0143(-8.478482430385212e+304)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)))sensitivity1431
/.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/n520
(*.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))))underflow52
Confusion
Predicted +Predicted -
+525
-14356
Precision
0.26666666666666666
Recall
0.9122807017543859
Confusion?
Predicted +Predicted MaybePredicted -
+5205
-143155
Precision?
0.2653061224489796
Recall?
0.9122807017543859
Freqs
test
numberfreq
061
1195
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
126.0ms512×0valid
Compiler

Compiled 179 to 48 computations (73.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 110.0ms
ival-mult: 54.0ms (48.9% of total)
ival-div: 31.0ms (28.1% of total)
ival-sin: 23.0ms (20.8% of total)
exact: 1.0ms (0.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

preprocess80.0ms (1%)

Memory
5.2MiB live, 43.4MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01435
13529
29528
329628
490228
5178028
6188128
7191128
8194128
9195328
10202528
11245328
01114
01914
12614
23614
34514
44814
04814
Stop Event
iter limit
saturated
iter limit
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
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.6%
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 16 to 11 computations (31.3% saved)

simplify4.0ms (0.1%)

Memory
5.5MiB live, 5.5MiB allocated
Algorithm
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
iter limit
saturated
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)

localize65.0ms (0.9%)

Memory
-2.5MiB live, 71.7MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.26171875
(*.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))))
accuracy0.38671875
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy12.839570325997173
(/.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
57.0ms256×0valid
Compiler

Compiled 108 to 24 computations (77.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-div: 12.0ms (41.9% of total)
ival-sin: 12.0ms (41.9% of total)
ival-mult: 4.0ms (14% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series5.0ms (0.1%)

Memory
8.0MiB live, 8.1MiB 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))

simplify215.0ms (2.8%)

Memory
-8.7MiB live, 235.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97811219
08078195
Stop Event
iter limit
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)

rewrite130.0ms (1.7%)

Memory
17.5MiB live, 212.1MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01134
01934
13428
211828
365124
4547021
0809821
Stop Event
iter limit
node limit
iter limit
Counts
5 → 340
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 (pow.f64 (*.f64 (sin.f64 x) (/.f64 #s(literal 3/8 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 x)))) #s(literal -1 binary64)) #s(literal 1/2 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 x) #s(literal -3/8 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(*.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))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(*.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)) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64))) (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 x)))
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(fma.f64 (sin.f64 x) #s(literal 1 binary64) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(fma.f64 (sin.f64 x) #s(literal 1 binary64) #s(literal 0 binary64))
(fma.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(sin.f64 x)
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (cos.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))) (*.f64 (cos.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64))) (sin.f64 (/.f64 (pow.f64 (*.f64 x #s(literal 1/2 binary64)) #s(literal 2 binary64)) #s(literal 0 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x)))
(exp.f64 (*.f64 (neg.f64 (log.f64 (sin.f64 x))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (log.f64 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (cos.f64 (+.f64 #s(literal 0 binary64) (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal -1/2 binary64) x))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) x)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (sin.f64 x) #s(literal 0 binary64))

eval80.0ms (1.1%)

Memory
-23.1MiB live, 140.4MiB allocated
Compiler

Compiled 6 057 to 898 computations (85.2% saved)

prune22.0ms (0.3%)

Memory
21.4MiB live, 60.6MiB allocated
Pruning

24 alts after pruning (24 fresh and 0 done)

PrunedKeptTotal
New33524359
Fresh000
Picked101
Done000
Total33624360
Accuracy
100.0%
Counts
360 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
71.5%
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #s(literal 2 binary64))
99.2%
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
58.1%
(/.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)))
58.1%
(/.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))
99.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))))
57.7%
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
58.0%
(/.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))
58.2%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
57.7%
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
99.7%
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
79.6%
(/.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))
99.2%
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
99.2%
(/.f64 #s(literal -8/3 binary64) (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
58.1%
(*.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)))
99.2%
(*.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))))
99.2%
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))))
58.1%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
99.1%
(*.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))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
58.1%
(*.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)))
99.3%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
44.4%
#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))
44.4%
#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))
44.5%
#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))
44.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 748 to 574 computations (23.3% saved)

simplify238.0ms (3.1%)

Memory
-12.7MiB live, 70.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
cost-diff0
(*.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))))
cost-diff0
(/.f64 #s(literal -1 binary64) (sin.f64 x))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))
cost-diff320
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
cost-diff7168
(*.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)))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff128
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
cost-diff6848
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff0
(*.f64 #s(literal 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
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
cost-diff704
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037154
056146
189146
2167140
3385140
4900140
51682140
62432140
73016140
84287140
94485140
104598140
114627140
125226140
135495140
145538140
155590140
166038140
176142140
186190140
196206140
206214140
216222140
226246140
236300140
246361140
256434140
266434140
276434140
06434138
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 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)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)
(*.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 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
#s(literal -1 binary64)
(sin.f64 x)
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) (cos.f64 x))
#s(literal 1 binary64)
(cos.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 (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 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
#s(literal 3/8 binary64)
(sin.f64 x)
Outputs
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 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)
#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)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
#s(literal 4/3 binary64)
(sin.f64 x)
(*.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 (tan.f64 (*.f64 #s(literal -1/2 binary64) x)) #s(literal -4/3 binary64))
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
#s(literal -1 binary64)
(sin.f64 x)
x
#s(literal 8/3 binary64)
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.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 (/.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.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)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
(sin.f64 x)

localize161.0ms (2.1%)

Memory
16.5MiB live, 334.5MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.23828125
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy0.33203125
(*.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))))
accuracy0.3515625
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
accuracy0.12890625
(/.f64 #s(literal -1 binary64) (sin.f64 x))
accuracy0.36328125
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64))
accuracy12.903250227201223
(*.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)))
accuracy13.552343536175863
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.00390625
(sin.f64 x)
accuracy0.30078125
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
accuracy12.839570325997173
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy13.552343536175863
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.37890625
(*.f64 #s(literal 2/3 binary64) x)
accuracy35.06211622758991
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
accuracy0.0
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
accuracy0.0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.17578125
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
Samples
53.0ms145×0valid
38.0ms58×2valid
25.0ms31×1valid
20.0ms22×3valid
Compiler

Compiled 310 to 73 computations (76.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-mult: 32.0ms (29.6% of total)
ival-cos: 22.0ms (20.3% of total)
ival-sin: 16.0ms (14.8% of total)
ival-div: 13.0ms (12% of total)
const: 9.0ms (8.3% of total)
adjust: 7.0ms (6.5% of total)
ival-tan: 6.0ms (5.5% of total)
ival-sub: 3.0ms (2.8% of total)
exact: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series20.0ms (0.3%)

Memory
-2.6MiB live, 36.0MiB allocated
Counts
19 → 66
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.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 (/.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) (sin.f64 x))
(*.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 (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)))
(sin.f64 x)
(*.f64 #s(literal 3/8 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))))))))
(* 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))))))))
(* 1/2 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 (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 (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)))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(/ -1 x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) x)
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 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
(* 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))))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (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)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(cos x)
(/ -8/3 (sin x))
(* -1/2 (- 1 (cos x)))
(/ -1 (sin x))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(sin (* 1/2 x))
(sin x)
(* 3/8 (sin x))
Calls

3 calls:

TimeVariablePointExpression
7.0ms
x
@-inf
((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (* (/ (sin (* x 1/2)) (* 3/8 (sin x))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 3/8 (sin x))) (sin (* x 1/2)) (sin x) (* 3/8 (sin x)))
7.0ms
x
@0
((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (* (/ (sin (* x 1/2)) (* 3/8 (sin x))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 3/8 (sin x))) (sin (* x 1/2)) (sin x) (* 3/8 (sin x)))
5.0ms
x
@inf
((/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (tan (* x 1/2)) (* x 1/2) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* 2/3 x) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (* (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2)) (* (/ -1 (sin x)) 8/3) (* (- 1 (cos x)) -1/2) (/ -1 (sin x)) (* (/ (sin (* x 1/2)) (* 3/8 (sin x))) (sin (* x 1/2))) (/ (sin (* x 1/2)) (* 3/8 (sin x))) (sin (* x 1/2)) (sin x) (* 3/8 (sin x)))

simplify159.0ms (2.1%)

Memory
-13.8MiB live, 193.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0269720
1730720
21805714
33526702
45173702
56582702
08265622
Stop Event
iter limit
node limit
Counts
66 → 65
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))))))))
(* 1/4 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))))))))
(* 1/2 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 (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 (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)))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(/ -1 x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) x)
4/3
(+ 4/3 (* 1/6 (pow x 2)))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(* 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
(* 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))))
(* 3/8 x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (/ (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)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(cos x)
(/ -8/3 (sin x))
(* -1/2 (- 1 (cos x)))
(/ -1 (sin x))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(sin (* 1/2 x))
(sin x)
(* 3/8 (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)
(* 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)
(* 1/2 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 (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 (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))
(/ -8/3 x)
(/.f64 #s(literal -8/3 binary64) x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(fma.f64 #s(literal -4/9 binary64) x (/.f64 #s(literal -8/3 binary64) x))
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(fma.f64 (fma.f64 #s(literal -7/135 binary64) (*.f64 x x) #s(literal -4/9 binary64)) x (/.f64 #s(literal -8/3 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -31/5670 binary64) x) x #s(literal -7/135 binary64)) (*.f64 x x) #s(literal -4/9 binary64)) x (/.f64 #s(literal -8/3 binary64) x))
(* -1/4 (pow x 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(*.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) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(*.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)
(/ -1 x)
(/.f64 #s(literal -1 binary64) x)
(/ (- (* -1/6 (pow x 2)) 1) x)
(fma.f64 #s(literal -1/6 binary64) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* -7/360 (pow x 2)) 1/6)) 1) x)
(fma.f64 (fma.f64 #s(literal -7/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -1 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/15120 (pow x 2)) 7/360)) 1/6)) 1) x)
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -31/15120 binary64) x) x #s(literal -7/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x (/.f64 #s(literal -1 binary64) x))
4/3
#s(literal 4/3 binary64)
(+ 4/3 (* 1/6 (pow x 2)))
(fma.f64 #s(literal 1/6 binary64) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* 5/288 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 5/288 binary64) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(+ 4/3 (* (pow x 2) (+ 1/6 (* (pow x 2) (+ 5/288 (* 61/34560 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 61/34560 binary64) (*.f64 x x) #s(literal 5/288 binary64)) (*.f64 x x) #s(literal 1/6 binary64)) (*.f64 x x) #s(literal 4/3 binary64))
(* 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
(* 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)
(* 3/8 x)
(*.f64 #s(literal 3/8 binary64) x)
(* x (+ 3/8 (* -1/16 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/16 binary64) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* x (+ 3/8 (* (pow x 2) (- (* 1/320 (pow x 2)) 1/16))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/320 binary64) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* x (+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/320 (* -1/13440 (pow x 2)))) 1/16))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/13440 binary64) (*.f64 x x) #s(literal 1/320 binary64)) (*.f64 x x) #s(literal -1/16 binary64)) (*.f64 x x) #s(literal 3/8 binary64)) x)
(* 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))
(* 1/2 (/ (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 1/2 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))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(/ -8/3 (sin x))
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
(* -1/2 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/ -1 (sin x))
(/.f64 #s(literal -1 binary64) (sin.f64 x))
(* 8/3 (/ (sin (* 1/2 x)) (sin x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 8/3 binary64) (sin.f64 x)))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin x)
(sin.f64 x)
(* 3/8 (sin x))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))

rewrite404.0ms (5.3%)

Memory
16.6MiB live, 296.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
037125
056117
1135111
2596105
34887105
012867103
Stop Event
iter limit
node limit
iter limit
Counts
19 → 1 101
Calls
Call 1
Inputs
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(*.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 (/.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) (sin.f64 x))
(*.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 (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)))
(sin.f64 x)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
Outputs
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/8 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.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 (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -8/3 binary64))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -8/3 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 (pow.f64 (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal 8/3 binary64))
(*.f64 (*.f64 #s(literal 8/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -4/3 binary64))
(*.f64 #s(literal -8/3 binary64) (pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal -8/3 binary64) (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.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 4/3 binary64)))
(*.f64 #s(literal -1/2 binary64) (/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -3/8 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -8/3 binary64)))
(*.f64 #s(literal -1 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 #s(literal 1/2 binary64) x)))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (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 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(*.f64 #s(literal 1/2 binary64) (*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 binary64)))
(*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 8/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64))
(pow.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 2 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #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 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 8/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -3/8 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64))))
(neg.f64 (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.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 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)))
(*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) #s(literal -1 binary64))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1/2 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.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 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1/2 binary64) x)
(*.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 x #s(literal 2/3 binary64))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (sin.f64 x) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (/.f64 #s(literal -4/3 binary64) (sin.f64 x)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) (sin.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 (sin.f64 x) #s(literal 3/4 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (cos.f64 x) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
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(-.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))))
(exp.f64 (fma.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64) (*.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) #s(literal -1 binary64))))
(exp.f64 (fma.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) #s(literal -1 binary64) (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -2 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)))
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -8/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 8/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 #s(literal -8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3/8 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3/8 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (pow.f64 (pow.f64 (neg.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 x)) (pow.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (neg.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 -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(*.f64 #s(literal 8/3 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)))
(pow.f64 (exp.f64 (log.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1/2 binary64))
(pow.f64 (pow.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))) #s(literal -1 binary64))
(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))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))) #s(literal 1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)) (sin.f64 x))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal -1 binary64)) (sin.f64 x))
(/.f64 (/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (sin.f64 x))
(/.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 x))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal -3/8 binary64))
(/.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x)) #s(literal 3/8 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 x))
(/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (/.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 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(/.f64 #s(literal -1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 x))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (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))))
(neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal -1 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (pow.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 1 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))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64))) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (sin.f64 x) #s(literal -1/2 binary64)) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(*.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(*.f64 #s(literal -1 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal -1 binary64))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(pow.f64 (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)) #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 0 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (sin.f64 x) (sin.f64 x) (*.f64 #s(literal 0 binary64) (sin.f64 x)))))
(/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (sin.f64 x))
(/.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(/.f64 (sin.f64 x) #s(literal -1 binary64))
(/.f64 (sin.f64 x) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (pow.f64 (sin.f64 x) #s(literal -1 binary64)))
(neg.f64 (sin.f64 x))
(sin.f64 x)
(-.f64 #s(literal 0 binary64) (sin.f64 x))
(exp.f64 (neg.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 x) #s(literal -1 binary64))) #s(literal -1 binary64)))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(*.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64))
(*.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal -3/8 binary64) (sin.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) #s(literal -3/8 binary64))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(pow.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal -8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal 2 binary64))) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x))))))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal 1 binary64))
(/.f64 (sin.f64 x) #s(literal -8/3 binary64))
(/.f64 (sin.f64 x) #s(literal 8/3 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(neg.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x))) #s(literal -1 binary64))))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))

eval403.0ms (5.3%)

Memory
-8.5MiB live, 227.7MiB allocated
Compiler

Compiled 20 136 to 2 861 computations (85.8% saved)

prune42.0ms (0.6%)

Memory
-4.5MiB live, 72.1MiB allocated
Pruning

20 alts after pruning (18 fresh and 2 done)

PrunedKeptTotal
New1 113131 126
Fresh14519
Picked325
Done000
Total1 130201 150
Accuracy
100.0%
Counts
1 150 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
58.2%
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
99.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))))
58.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
58.0%
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
99.7%
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
99.6%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/8 binary64))
99.6%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
44.7%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
45.2%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
99.2%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
58.1%
(*.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)))
58.1%
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
99.3%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
99.3%
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
44.4%
#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))
44.4%
#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))
44.5%
#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))
44.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 570 to 417 computations (26.8% saved)

simplify30.0ms (0.4%)

Memory
-10.6MiB live, 27.6MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f64 #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-diff320
(*.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)))
cost-diff0
(sin.f64 x)
cost-diff0
(cos.f64 x)
cost-diff0
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
cost-diff0
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff0
(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))
cost-diff0
(*.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)
cost-diff0
#s(approx (* (tan (* x 1/2)) 1/2) (*.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))
cost-diff0
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
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
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
cost-diff320
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048241
075239
1122237
2204237
3383237
4773237
51281237
61320237
71326237
01326237
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
(*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/8 binary64)
(cos.f64 (*.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)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
#s(literal 17/80640 binary64)
(*.f64 x x)
x
#s(literal 1/480 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(cos.f64 x)
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)))
(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)
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
#s(literal -8/3 binary64)
(sin.f64 x)
Outputs
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)) #s(literal 1/2 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(sin.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
(*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))
#s(literal 3/8 binary64)
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 x #s(literal 1/2 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)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.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))
(*.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)
(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))
(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))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
#s(literal 17/80640 binary64)
(*.f64 x x)
x
#s(literal 1/480 binary64)
#s(literal 1/48 binary64)
#s(literal 1/4 binary64)
#s(literal 3/8 binary64)
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
#s(literal -4/3 binary64)
(cos.f64 x)
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)) (sin.f64 x))
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
#s(literal 1/2 binary64)
(cos.f64 x)
x
#s(literal -1/2 binary64)
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
#s(literal -8/3 binary64)
(sin.f64 x)

localize364.0ms (4.8%)

Memory
26.1MiB live, 264.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.00390625
(sin.f64 x)
accuracy0.37109375
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
accuracy12.903250227201223
(*.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)))
accuracy13.524323556138722
(fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64))
accuracy0.0
(cos.f64 x)
accuracy0.00390625
(sin.f64 x)
accuracy12.839570325997173
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy13.605892435663321
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
accuracy0.06640625
(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))
accuracy0.09603500976844201
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
accuracy0.17578125
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
accuracy35.382541186895494
#s(approx (* (tan (* x 1/2)) 1/2) (*.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))
accuracy0.0
(*.f64 x x)
accuracy0.109375
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy0.23046875
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy35.3407357028332
#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))
accuracy0.0
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.0
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.140625
(*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.1875
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
Samples
154.0ms145×0valid
102.0ms60×2valid
43.0ms31×1valid
32.0ms20×3valid
Compiler

Compiled 456 to 100 computations (78.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 297.0ms
ival-mult: 85.0ms (28.6% of total)
ival-cos: 53.0ms (17.8% of total)
ival-add: 53.0ms (17.8% of total)
const: 39.0ms (13.1% of total)
ival-div: 27.0ms (9.1% of total)
ival-sin: 18.0ms (6.1% of total)
adjust: 16.0ms (5.4% of total)
ival-tan: 6.0ms (2% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series31.0ms (0.4%)

Memory
-18.6MiB live, 18.5MiB allocated
Counts
23 → 87
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin.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)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.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))
(*.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)
(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))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
(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)))
(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 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(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))
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))))))))
(* 1/4 x)
(* x (+ 1/4 (* -1/96 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 1/7680 (pow x 2)) 1/96))))
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/7680 (* -1/1290240 (pow x 2)))) 1/96))))
(* 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))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(* 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
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
3/8
(+ 3/8 (* -3/64 (pow x 2)))
(+ 3/8 (* (pow x 2) (- (* 1/1024 (pow x 2)) 3/64)))
(+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1024 (* -1/122880 (pow x 2)))) 3/64)))
(+ 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)))
1/480
(+ 1/480 (* 17/80640 (pow x 2)))
1/48
(+ 1/48 (* 1/480 (pow x 2)))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (sin (* 1/2 x)))
(sin (* 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)))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(sin x)
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(- (* 1/2 (cos x)) 1/2)
(/ -8/3 (sin x))
(* 3/8 (cos (* 1/2 x)))
(cos (* 1/2 x))
(* 17/80640 (pow x 2))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* 17/80640 (pow x 4))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
22.0ms
x
@inf
((/ (* (sin (* 1/2 x)) 1/2) (* 3/8 (cos (* 1/2 x)))) (* (sin (* 1/2 x)) 1/2) (sin (* 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) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x) (* (+ (* 1/2 (cos x)) -1/2) (/ -8/3 (sin x))) (+ (* 1/2 (cos x)) -1/2) (/ -8/3 (sin x)) (* 3/8 (cos (* 1/2 x))) (cos (* 1/2 x)) (+ (* 17/80640 (* x x)) 1/480) (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48))
5.0ms
x
@-inf
((/ (* (sin (* 1/2 x)) 1/2) (* 3/8 (cos (* 1/2 x)))) (* (sin (* 1/2 x)) 1/2) (sin (* 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) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x) (* (+ (* 1/2 (cos x)) -1/2) (/ -8/3 (sin x))) (+ (* 1/2 (cos x)) -1/2) (/ -8/3 (sin x)) (* 3/8 (cos (* 1/2 x))) (cos (* 1/2 x)) (+ (* 17/80640 (* x x)) 1/480) (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48))
3.0ms
x
@0
((/ (* (sin (* 1/2 x)) 1/2) (* 3/8 (cos (* 1/2 x)))) (* (sin (* 1/2 x)) 1/2) (sin (* 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) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (/ (+ (* -4/3 (cos x)) 4/3) (sin x)) (+ (* -4/3 (cos x)) 4/3) (cos x) (sin x) (* (+ (* 1/2 (cos x)) -1/2) (/ -8/3 (sin x))) (+ (* 1/2 (cos x)) -1/2) (/ -8/3 (sin x)) (* 3/8 (cos (* 1/2 x))) (cos (* 1/2 x)) (+ (* 17/80640 (* x x)) 1/480) (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48))

simplify161.0ms (2.1%)

Memory
30.1MiB live, 183.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0284910
1771904
21919901
33784894
46812890
08111802
Stop Event
iter limit
node limit
Counts
87 → 86
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))))))))
(* 1/4 x)
(* x (+ 1/4 (* -1/96 (pow x 2))))
(* x (+ 1/4 (* (pow x 2) (- (* 1/7680 (pow x 2)) 1/96))))
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/7680 (* -1/1290240 (pow x 2)))) 1/96))))
(* 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))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(* 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
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (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))))
1
(+ 1 (* -1/2 (pow x 2)))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* -1/4 (pow x 2))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(/ -8/3 x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
3/8
(+ 3/8 (* -3/64 (pow x 2)))
(+ 3/8 (* (pow x 2) (- (* 1/1024 (pow x 2)) 3/64)))
(+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1024 (* -1/122880 (pow x 2)))) 3/64)))
(+ 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)))
1/480
(+ 1/480 (* 17/80640 (pow x 2)))
1/48
(+ 1/48 (* 1/480 (pow x 2)))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 1/2 (sin (* 1/2 x)))
(sin (* 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)))))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(/ (+ 4/3 (* -4/3 (cos x))) (sin x))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(sin x)
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (sin x)))
(- (* 1/2 (cos x)) 1/2)
(/ -8/3 (sin x))
(* 3/8 (cos (* 1/2 x)))
(cos (* 1/2 x))
(* 17/80640 (pow x 2))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* 17/80640 (pow x 4))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 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)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* -1/96 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/96 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* 1/7680 (pow x 2)) 1/96))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/7680 binary64) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/7680 (* -1/1290240 (pow x 2)))) 1/96))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/1290240 binary64) (*.f64 x x) #s(literal 1/7680 binary64)) (*.f64 x x) #s(literal -1/96 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
(* 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)
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)
(* 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
#s(literal 1/4 binary64)
(+ 1/4 (* 1/48 (pow x 2)))
(fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(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))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(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))
(* 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
#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))
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)
(* -1/4 (pow x 2))
(*.f64 #s(literal -1/4 binary64) (*.f64 x x))
(* (pow x 2) (- (* 1/48 (pow x 2)) 1/4))
(*.f64 (*.f64 (fma.f64 #s(literal 1/48 binary64) (*.f64 x x) #s(literal -1/4 binary64)) x) x)
(* (pow x 2) (- (* (pow x 2) (+ 1/48 (* -1/1440 (pow x 2)))) 1/4))
(*.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) (- (* (pow x 2) (+ 1/48 (* (pow x 2) (- (* 1/80640 (pow x 2)) 1/1440)))) 1/4))
(*.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)
(/ -8/3 x)
(/.f64 #s(literal -8/3 binary64) x)
(/ (- (* -4/9 (pow x 2)) 8/3) x)
(fma.f64 #s(literal -4/9 binary64) x (/.f64 #s(literal -8/3 binary64) x))
(/ (- (* (pow x 2) (- (* -7/135 (pow x 2)) 4/9)) 8/3) x)
(fma.f64 (fma.f64 #s(literal -7/135 binary64) (*.f64 x x) #s(literal -4/9 binary64)) x (/.f64 #s(literal -8/3 binary64) x))
(/ (- (* (pow x 2) (- (* (pow x 2) (- (* -31/5670 (pow x 2)) 7/135)) 4/9)) 8/3) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal -31/5670 binary64) (*.f64 x x) #s(literal -7/135 binary64)) (*.f64 x x) #s(literal -4/9 binary64)) x (/.f64 #s(literal -8/3 binary64) x))
3/8
#s(literal 3/8 binary64)
(+ 3/8 (* -3/64 (pow x 2)))
(fma.f64 #s(literal -3/64 binary64) (*.f64 x x) #s(literal 3/8 binary64))
(+ 3/8 (* (pow x 2) (- (* 1/1024 (pow x 2)) 3/64)))
(fma.f64 (fma.f64 #s(literal 1/1024 binary64) (*.f64 x x) #s(literal -3/64 binary64)) (*.f64 x x) #s(literal 3/8 binary64))
(+ 3/8 (* (pow x 2) (- (* (pow x 2) (+ 1/1024 (* -1/122880 (pow x 2)))) 3/64)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/122880 binary64) (*.f64 x x) #s(literal 1/1024 binary64)) (*.f64 x x) #s(literal -3/64 binary64)) (*.f64 x x) #s(literal 3/8 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))
1/480
#s(literal 1/480 binary64)
(+ 1/480 (* 17/80640 (pow x 2)))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
1/48
#s(literal 1/48 binary64)
(+ 1/48 (* 1/480 (pow x 2)))
(fma.f64 #s(literal 1/480 binary64) (*.f64 x x) #s(literal 1/48 binary64))
(+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))
(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))
(* 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))
(* 1/2 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin (* 1/2 x))
(sin.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))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 17/80640 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/80640 binary64))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/80640 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/80640 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/80640 binary64))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal -17/80640 binary64)))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) #s(literal 1/4 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))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos x)
(cos.f64 x)
(sin x)
(sin.f64 x)
(* -8/3 (/ (- (* 1/2 (cos x)) 1/2) (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 (cos x)) 1/2)
(fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal -1/2 binary64))
(/ -8/3 (sin x))
(/.f64 #s(literal -8/3 binary64) (sin.f64 x))
(* 3/8 (cos (* 1/2 x)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/8 binary64))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(* 17/80640 (pow x 2))
(*.f64 #s(literal 17/80640 binary64) (*.f64 x x))
(* (pow x 2) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(* 17/80640 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/80640 binary64))
(* (pow x 4) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x)
(* (pow x 4) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(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))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite181.0ms (2.4%)

Memory
-15.4MiB live, 314.7MiB allocated
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
048215
075215
1243205
21403205
08230205
Stop Event
iter limit
node limit
iter limit
Counts
23 → 696
Calls
Call 1
Inputs
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64))
(sin.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)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.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))
(*.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)
(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))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
(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)))
(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 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64))
(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))
Outputs
(*.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)) #s(literal -1/2 binary64)))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -4/3 binary64))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/8 binary64)) (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/8 binary64)))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal -3/8 binary64)))
(*.f64 (/.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/8 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/8 binary64)) (/.f64 #s(literal 1/2 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (/.f64 (neg.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 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(*.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 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) (cos.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))) #s(literal 4/3 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #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 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (*.f64 #s(literal -3/8 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -8/3 binary64) (/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/8 binary64))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal -4/3 binary64) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal -4/3 binary64) (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 8/3 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal 8/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 8/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -3/8 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1/2 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) #s(literal -3/8 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/8 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1/2 binary64)) (*.f64 #s(literal -3/8 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal -3/8 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64)) #s(literal 3/8 binary64)))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (*.f64 #s(literal -3/8 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 #s(literal 3/8 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 3/8 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 8/3 binary64)) #s(literal 1/2 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 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 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.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 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (*.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 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
(/.f64 (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -3/8 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/8 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
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(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (+.f64 #s(literal 1/2304 binary64) (-.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) (*.f64 x #s(literal 1/48 binary64))))))
(/.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592 binary64)) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/2304 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) (*.f64 x #s(literal 1/48 binary64)))))
(fma.f64 (*.f64 (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal -1/480 binary64)) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 4913/524386566144000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592000 binary64)) (*.f64 x x)) (pow.f64 (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 17/38707200 binary64)))) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))) (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal -1/480 binary64)) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 (*.f64 x x) (fma.f64 #s(literal 4913/524386566144000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592000 binary64))) (pow.f64 (fma.f64 #s(literal 289/6502809600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 17/38707200 binary64)))) #s(literal -1 binary64)) #s(literal 1/48 binary64))
(fma.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x #s(literal 1/48 binary64))
(fma.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.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)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/2304 binary64) (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)))))
(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))
(fma.f64 (*.f64 x x) (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 1/48 binary64))
(fma.f64 x (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) #s(literal 1/48 binary64))
(-.f64 (/.f64 #s(literal 1/2304 binary64) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x))))
(-.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (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 #s(literal 1/2304 binary64) (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 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 2 binary64)) (pow.f64 x #s(literal 4 binary64))) (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))) (neg.f64 (/.f64 #s(literal 1/2304 binary64) (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 (*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x) #s(literal 1/48 binary64))
(+.f64 #s(literal 1/48 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 17/80640 binary64) (*.f64 x x) #s(literal 1/480 binary64)) x) x))

eval109.0ms (1.4%)

Memory
-20.1MiB live, 214.8MiB allocated
Compiler

Compiled 23 937 to 3 088 computations (87.1% saved)

prune26.0ms (0.3%)

Memory
33.6MiB live, 72.9MiB allocated
Pruning

21 alts after pruning (14 fresh and 7 done)

PrunedKeptTotal
New8136819
Fresh5813
Picked055
Done022
Total81821839
Accuracy
100.0%
Counts
839 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
58.2%
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
99.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))))
58.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
58.0%
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
99.7%
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
99.3%
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
99.6%
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
44.7%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
45.2%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
99.2%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
58.1%
(*.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)))
58.1%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
99.3%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
44.4%
#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))
44.4%
#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))
44.5%
#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))
44.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 547 to 400 computations (26.9% saved)

simplify15.0ms (0.2%)

Memory
-20.8MiB live, 18.0MiB allocated
Algorithm
egg-herbie
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
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))) #s(literal 4/3 binary64))
cost-diff0
(/.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))))
cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
cost-diff1088
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
cost-diff0
(*.f64 x #s(literal 1/2 binary64))
cost-diff0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
cost-diff0
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
cost-diff0
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
cost-diff0
(*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
cost-diff0
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
cost-diff0
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff6848
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039216
055214
183208
2117208
3237208
4476208
5662208
6669208
7670208
0670196
Stop Event
iter limit
saturated
iter limit
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
#s(literal 3/4 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 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
Outputs
(pow.f64 (/.f64 #s(literal 3/4 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))))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 3/4 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 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 1 binary64)
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 3/4 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#s(literal 4/3 binary64)
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))

localize127.0ms (1.7%)

Memory
21.6MiB live, 221.7MiB allocated
Localize:

Found 19 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.0
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.1875
(/.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))))
accuracy0.38671875
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
accuracy0.0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.18359375
(/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
accuracy0.25390625
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
accuracy0.31640625
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
accuracy0.0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.44921875
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
accuracy0.02734375
(*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
accuracy0.17578125
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
accuracy34.92937878548371
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
accuracy35.382541186895494
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
accuracy0.0
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.1640625
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.24609375
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
Samples
106.0ms256×0valid
Compiler

Compiled 382 to 78 computations (79.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 37.0ms (40.9% of total)
const: 13.0ms (14.4% of total)
ival-tan: 12.0ms (13.3% of total)
ival-div: 8.0ms (8.9% of total)
ival-sin: 7.0ms (7.7% of total)
ival-cos: 5.0ms (5.5% of total)
ival-add: 3.0ms (3.3% of total)
ival-pow: 3.0ms (3.3% 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 (0.1%)

Memory
-25.6MiB live, 14.5MiB allocated
Counts
18 → 52
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (tan.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
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))))))))
(/ 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)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/4 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
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 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
(+ 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)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(sin (* 1/2 x))
(cos (* 1/2 x))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
5.0ms
x
@inf
((pow (/ 3/4 (tan (* 1/2 x))) -1) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (* (tan (* x 1/2)) 4/3) (tan (* x 1/2)) (* x 1/2) (/ 1 (* (/ 1 (tan (* x 1/2))) 3/4)) (* (/ 1 (tan (* x 1/2))) 3/4) (/ 1 (tan (* x 1/2))) (/ (* (sin (* x 1/2)) 4/3) (cos (* x 1/2))) (* (sin (* x 1/2)) 4/3) (sin (* x 1/2)) (cos (* x 1/2)))
2.0ms
x
@-inf
((pow (/ 3/4 (tan (* 1/2 x))) -1) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (* (tan (* x 1/2)) 4/3) (tan (* x 1/2)) (* x 1/2) (/ 1 (* (/ 1 (tan (* x 1/2))) 3/4)) (* (/ 1 (tan (* x 1/2))) 3/4) (/ 1 (tan (* x 1/2))) (/ (* (sin (* x 1/2)) 4/3) (cos (* x 1/2))) (* (sin (* x 1/2)) 4/3) (sin (* x 1/2)) (cos (* x 1/2)))
1.0ms
x
@0
((pow (/ 3/4 (tan (* 1/2 x))) -1) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) x) (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) (* (tan (* x 1/2)) 4/3) (tan (* x 1/2)) (* x 1/2) (/ 1 (* (/ 1 (tan (* x 1/2))) 3/4)) (* (/ 1 (tan (* x 1/2))) 3/4) (/ 1 (tan (* x 1/2))) (/ (* (sin (* x 1/2)) 4/3) (cos (* x 1/2))) (* (sin (* x 1/2)) 4/3) (sin (* x 1/2)) (cos (* x 1/2)))

simplify159.0ms (2.1%)

Memory
27.9MiB live, 180.7MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0206629
1557629
21382627
33426623
45997623
08372568
Stop Event
iter limit
node limit
Counts
52 → 52
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))))))))
(/ 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)
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 1/4 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
(+ 1/4 (* 1/48 (pow x 2)))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(/ 2 x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(* 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
(+ 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)))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 17/80640 (pow x 7))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(* 17/80640 (pow x 6))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(* 4/3 (sin (* 1/2 x)))
(sin (* 1/2 x))
(cos (* 1/2 x))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 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)
(/ 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)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 1/4 x)
(*.f64 #s(literal 1/4 binary64) x)
(* x (+ 1/4 (* 1/48 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64)) x)
(* x (+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/480 binary64) #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 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x)
1/4
#s(literal 1/4 binary64)
(+ 1/4 (* 1/48 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/48 binary64) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/48 (* 1/480 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/480 binary64) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(+ 1/4 (* (pow x 2) (+ 1/48 (* (pow x 2) (+ 1/480 (* 17/80640 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/80640 binary64) #s(literal 1/480 binary64)) (*.f64 x x) #s(literal 1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64))
(/ 2 x)
(/.f64 #s(literal 2 binary64) x)
(/ (+ 2 (* -1/6 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* -1/360 (pow x 2)) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/360 binary64) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(/ (+ 2 (* (pow x 2) (- (* (pow x 2) (- (* -1/15120 (pow x 2)) 1/360)) 1/6))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)
(* x (+ 2/3 (* -1/36 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/36 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (- (* 1/2880 (pow x 2)) 1/36))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/2880 binary64) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/2880 (* -1/483840 (pow x 2)))) 1/36))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/483840 binary64) (*.f64 x x) #s(literal 1/2880 binary64)) (*.f64 x x) #s(literal -1/36 binary64)) (*.f64 x x) #s(literal 2/3 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
#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))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.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)))
(* 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))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 1/2 (/ (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 1/2 binary64))
(* 17/80640 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/80640 binary64))
(* (pow x 7) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(*.f64 (-.f64 (+.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/80640 binary64)) (/.f64 #s(literal 1/48 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal -1/480 binary64) (*.f64 x x))) (pow.f64 x #s(literal 7 binary64)))
(* 17/80640 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/80640 binary64))
(* (pow x 6) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal -17/80640 binary64)))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (+ 17/80640 (+ (/ 1/48 (pow x 4)) (+ (* 1/480 (/ 1 (pow x 2))) (* 1/4 (/ 1 (pow x 6)))))))
(fma.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/4 binary64))
(/ (cos (* 1/2 x)) (sin (* 1/2 x)))
(/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 4/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4/3 binary64))
(sin (* 1/2 x))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(cos (* 1/2 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) x))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/480 (* 1/48 (/ 1 (pow x 2)))) (pow x 2))) 17/80640)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/48 binary64) (*.f64 x x)) #s(literal 1/480 binary64)) x) x) #s(literal -17/80640 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/48 (* 1/4 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/80640 (* 1/480 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/4 binary64) (*.f64 x x)) #s(literal 1/48 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/80640 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite169.0ms (2.2%)

Memory
-4.7MiB live, 185.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039189
055184
1181176
2827176
08044164
Stop Event
iter limit
node limit
iter limit
Counts
18 → 641
Calls
Call 1
Inputs
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))
(*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)
#s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (tan.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))
Outputs
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64))) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64))) (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)))
(*.f64 (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)))
(*.f64 (*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64))) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -4/3 binary64) (neg.f64 (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 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.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)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.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)))) (/.f64 (/.f64 #s(literal -1 binary64) (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)))) (*.f64 (/.f64 #s(literal -1 binary64) (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)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.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 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 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 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.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 #s(literal -4/3 binary64) (/.f64 #s(literal -1 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 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 3/4 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 3/4 binary64) (sin.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 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.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 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -3/4 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
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(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/4 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 #s(literal -4/3 binary64) (pow.f64 (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal -4/3 binary64) (neg.f64 (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 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 4/3 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 4/3 binary64) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (*.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (/.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (cos.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)) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.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)))) (/.f64 (/.f64 #s(literal -1 binary64) (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)))) (*.f64 (/.f64 #s(literal -1 binary64) (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)))) (/.f64 #s(literal -1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 3/4 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 4/3 binary64) (cos.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 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64)) (pow.f64 #s(literal 3/4 binary64) #s(literal -1/2 binary64))))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(pow.f64 (pow.f64 (*.f64 #s(literal 4/3 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 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64))) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)))
(/.f64 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.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 #s(literal -4/3 binary64) (/.f64 #s(literal -1 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 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal -3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 3/4 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 3/4 binary64) (sin.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 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (*.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (*.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 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal -3/4 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (fma.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -2 binary64))) #s(literal -1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(exp.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 4/3 binary64))
(*.f64 #s(literal -4/3 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 -4/3 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))
(*.f64 #s(literal 4/3 binary64) (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal 4/3 binary64) (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 x #s(literal 1/2 binary64)))

eval49.0ms (0.6%)

Memory
1.9MiB live, 75.5MiB allocated
Compiler

Compiled 5 589 to 953 computations (82.9% saved)

prune53.0ms (0.7%)

Memory
-23.6MiB live, 82.4MiB allocated
Pruning

24 alts after pruning (15 fresh and 9 done)

PrunedKeptTotal
New3169325
Fresh369
Picked145
Done257
Total32224346
Accuracy
100.0%
Counts
346 → 24
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.5%
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
58.2%
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
99.1%
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))))
58.1%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
58.0%
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
99.7%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.6%
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64)))
44.7%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
45.2%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x)) #s(literal 3/8 binary64))
99.2%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.4%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
45.0%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 binary64)) x))))
99.4%
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
45.3%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
45.5%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
45.0%
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
58.1%
(*.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)))
58.1%
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
99.3%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
44.4%
#s(approx (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
44.4%
#s(approx (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
44.5%
#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))
44.9%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 189 to 520 computations (56.3% saved)

regimes32.0ms (0.4%)

Memory
6.4MiB live, 84.3MiB allocated
Counts
53 → 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(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #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 (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 (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 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))
#s(approx (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 3/4 binary64)))
(/.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64)) (sin.f64 x))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (+.f64 (*.f64 (cos.f64 x) #s(literal -4/3 binary64)) #s(literal 4/3 binary64)) (sin.f64 x))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
(*.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 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (/.f64 #s(literal -8/3 binary64) (sin.f64 x)))
(/.f64 #s(literal -8/3 binary64) (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1/2 binary64)) #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 (-.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 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 4/3 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 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 (/.f64 #s(literal -1 binary64) (sin.f64 x)) #s(literal 8/3 binary64)) (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)))
(*.f64 (fma.f64 #s(literal 1/2 binary64) (cos.f64 x) #s(literal -1/2 binary64)) (*.f64 #s(literal 8/3 binary64) (/.f64 #s(literal -1 binary64) (sin.f64 x))))
(*.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 (*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal 8/3 binary64))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))))
(/.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (/.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 3/8 binary64))
(/.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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (pow.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) #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 (/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (sin.f64 x)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) x))))
(*.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 (*.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 (pow.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (sin.f64 (*.f64 #s(literal -1/2 binary64) x)))
(/.f64 (*.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) #s(literal 8/3 binary64)) (*.f64 (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 (*.f64 #s(literal 3/8 binary64) (sin.f64 x)) (fma.f64 (cos.f64 x) #s(literal 1/2 binary64) #s(literal 1/2 binary64))))
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))) (neg.f64 (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (/.f64 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64)))))
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

15.0ms
x
15.0ms
(/.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
99.7%1x
99.7%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes10.0ms (0.1%)

Memory
22.0MiB live, 22.0MiB allocated
Counts
14 → 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(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #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 (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 (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 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))
#s(approx (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
Outputs
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
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))
5.0ms
x
Results
AccuracySegmentsBranch
99.3%1x
99.3%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 (0.1%)

Memory
-10.6MiB live, 31.6MiB 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(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #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 (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 (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 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))
#s(approx (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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)) #s(literal 3/8 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/15120 binary64) (*.f64 x x) #s(literal -1/360 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
Outputs
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
Calls

2 calls:

6.0ms
(/.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
45.5%1x
45.5%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory
-22.4MiB live, 15.0MiB allocated
Counts
10 → 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(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #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 (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 (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 #s(literal 2 binary64) x)) #s(literal 3/4 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/8 binary64) #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(approx (+ (* (+ (* (+ (* 17/80640 (* x x)) 1/480) (* x x)) 1/48) (* x x)) 1/4) #s(literal 1/4 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))
#s(approx (pow (/ 3/4 (tan (* 1/2 x))) -1) (*.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))
Outputs
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
Calls

2 calls:

7.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
45.2%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))
45.2%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory
8.3MiB live, 8.3MiB allocated
Accuracy

Total -0.3b remaining (-0.9%)

Threshold costs -0.3b (-0.9%)

Counts
2 → 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))
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:

1.0ms
(/.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))
1.0ms
x
Results
AccuracySegmentsBranch
44.9%1x
44.9%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)

simplify10.0ms (0.1%)

Memory
19.9MiB live, 19.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03861
15061
26061
36961
47261
Stop Event
saturated
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)))
(pow.f64 (*.f64 #s(approx (/ 1 (tan (* x 1/2))) (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 x x) #s(literal 2 binary64)) x)) #s(literal 3/4 binary64)) #s(literal -1 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.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))

soundness1.7s (22.2%)

Memory
-16.2MiB live, 775.5MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97811219
08078195
0206629
1557629
21382627
33426623
45997623
08372568
0269720
1730720
21805714
33526702
45173702
56582702
08265622
039189
055184
1181176
2827176
08044164
048215
075215
1243205
21403205
08230205
037125
056117
1135111
2596105
34887105
012867103
01134
01934
13428
211828
365124
4547021
0809821
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 168 to 108 computations (35.7% saved)

preprocess90.0ms (1.2%)

Memory
4.5MiB live, 77.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 214 to 146 computations (31.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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