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

Time bar (total: 7.5s)

start0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

analyze236.0ms (3.1%)

Memory
2.8MiB live, 211.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%100%0%0%0%0%0
0%0%100%0%0%0%0%1
0%0%100%0%0%0%0%2
25%25%75%0%0%0%0%3
37.5%37.5%62.5%0%0%0%0%4
43.8%43.7%56.2%0%0%0%0%5
46.9%46.9%53.1%0%0%0%0%6
48.4%48.4%51.5%0%0%0%0%7
49.2%49.2%50.8%0%0%0%0%8
49.6%49.6%50.4%0%0%0%0%9
49.8%49.8%50.2%0%0%0%0%10
49.9%49.9%50.1%0%0%0%0%11
50%49.9%50%0%0%0%0%12
Compiler

Compiled 18 to 13 computations (27.8% saved)

sample1.6s (21.1%)

Memory
20.7MiB live, 1 361.2MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 975.0ms
ival-sin: 434.0ms (44.5% of total)
ival-mult: 381.0ms (39.1% of total)
ival-div: 137.0ms (14.1% of total)
exact: 13.0ms (1.3% of total)
ival-true: 7.0ms (0.7% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

explain186.0ms (2.5%)

Memory
9.2MiB live, 254.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
550-7(-2.766321673648764e-159)(/.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))))
0128(-6.033363148799112e+296)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)))sensitivity1280
/.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/n480
↳(*.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))))underflow48
Confusion
Predicted +Predicted -
+487
-12873
Precision
0.2727272727272727
Recall
0.8727272727272727
Confusion?
Predicted +Predicted MaybePredicted -
+4807
-128073
Precision?
0.2727272727272727
Recall?
0.8727272727272727
Freqs
test
numberfreq
080
1176
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
84.0ms512×0valid
Compiler

Compiled 126 to 37 computations (70.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-sin: 46.0ms (67.8% of total)
ival-mult: 13.0ms (19.2% of total)
ival-div: 7.0ms (10.3% of total)
ival-true: 1.0ms (1.5% of total)
exact: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)

preprocess48.0ms (0.6%)

Memory
-3.4MiB live, 34.9MiB allocated
Algorithm
1×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
1×iter limit
1×saturated
1×iter limit
1×saturated
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Outputs
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
(*.f64 (*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
Symmetry

(negabs x)

Compiler

Compiled 16 to 11 computations (31.3% saved)

eval0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated
Compiler

Compiled 0 to 1 computations (-∞% saved)

prune0.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.6%
(/.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%)

Memory
6.9MiB live, 6.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))
cost-diff0
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
cost-diff2
(/.f64 #s(literal 8 binary64) #s(literal 3 binary64))
Iterations

Useful iterations: 0 (0.0ms)

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

localize40.0ms (0.5%)

Memory
0.4MiB live, 76.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(sin.f64 x)
accuracy0.1875
(*.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))))
accuracy12.152840359181628
(/.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
30.0ms256×0valid
Compiler

Compiled 55 to 13 computations (76.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 13.0ms (58.5% of total)
ival-div: 4.0ms (18% of total)
ival-mult: 4.0ms (18% 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
10.5MiB live, 10.5MiB 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))

simplify244.0ms (3.2%)

Memory
-30.7MiB live, 213.4MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97811219
08078195
Stop Event
1×iter limit
1×node limit
Counts
20 → 19
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 2/3 (pow x 2))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(* 4/3 x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
x
(* x (+ 1 (* -1/6 (pow x 2))))
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(* 8/3 (sin (* 1/2 x)))
(sin x)
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 2/3 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 2/3 binary64))
(* (pow x 2) (+ 2/3 (* -1/18 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* 1/540 (pow x 2)) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/540 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* (pow x 2) (+ 2/3 (* (pow x 2) (- (* (pow x 2) (+ 1/540 (* -1/30240 (pow x 2)))) 1/18))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/30240 binary64) (*.f64 x x) #s(literal 1/540 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x) x)
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -1/18 (pow x 2))))
(*.f64 (fma.f64 #s(literal -1/18 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/18))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/241920 (pow x 2)))) 1/18))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/241920 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/18 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
x
(* x (+ 1 (* -1/6 (pow x 2))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/6 binary64) x)
(* x (+ 1 (* (pow x 2) (- (* 1/120 (pow x 2)) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* x (+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/120 (* -1/5040 (pow x 2)))) 1/6))))
(fma.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal -1/5040 binary64) (*.f64 x x) #s(literal 1/120 binary64)) (*.f64 x x) #s(literal -1/6 binary64)) x)
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(* 8/3 (sin (* 1/2 x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))
(sin x)
(sin.f64 x)

rewrite298.0ms (4%)

Memory
9.8MiB live, 169.3MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
01134
01934
13428
211828
365124
4547021
0809821
Stop Event
1×iter limit
1×node limit
1×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))

eval154.0ms (2%)

Memory
-2.9MiB live, 73.9MiB allocated
Compiler

Compiled 6 057 to 898 computations (85.2% saved)

prune82.0ms (1.1%)

Memory
-8.4MiB live, 37.2MiB allocated
Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New34316359
Fresh000
Picked101
Done000
Total34416360
Accuracy
100.0%
Counts
360 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(/.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)))
52.8%
(/.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))
52.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
▶99.8%
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
50.3%
(/.f64 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
▶80.6%
(/.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))
99.3%
(/.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))))
52.7%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
52.8%
(*.f64 (/.f64 #s(literal -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
▶52.8%
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
▶99.4%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
69.9%
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))))
50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
50.0%
#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))
50.1%
#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))
▶50.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 510 to 380 computations (25.5% saved)

simplify236.0ms (3.1%)

Memory
-2.6MiB live, 76.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
cost-diff0
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
cost-diff0
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
cost-diff0
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff2
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
cost-diff3
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 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 4/3 binary64))
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-diff2
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036166
053151
178151
2117148
3191148
4332148
5652148
61192148
71953148
82842148
93311148
103806148
114192148
124450148
134486148
144657148
154747148
164757148
174760148
184760148
194760148
204760148
214770148
224791148
234799148
04799148
Stop Event
1×iter limit
1×saturated
1×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 (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 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
#s(literal 1/2 binary64)
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
#s(literal 3/8 binary64)
(sin.f64 x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)
Outputs
(/.f64 (*.f64 (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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
(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 4/3 binary64)
(*.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 #s(literal -4/3 binary64) (tan.f64 (*.f64 #s(literal -1/2 binary64) x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
#s(literal 1 binary64)
(cos.f64 x)
x
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(/.f64 #s(literal 4/3 binary64) (sin.f64 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)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(sin.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
x
#s(literal 2 binary64)
#s(literal 8/3 binary64)
(sin.f64 x)

localize282.0ms (3.7%)

Memory
24.4MiB live, 226.3MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy0.0
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
accuracy0.266288769536884
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
accuracy0.29134750976844204
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
accuracy12.152840359181628
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
accuracy0.2109375
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
accuracy0.265625
(/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
accuracy12.220117576627274
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
accuracy17.56517783209598
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.37890625
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
accuracy0.34765625
(*.f64 #s(literal 2/3 binary64) x)
accuracy31.685854923381484
#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)))
accuracy0.11328125
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
Samples
110.0ms62×2valid
76.0ms18×3valid
57.0ms132×0valid
16.0ms44×1valid
Compiler

Compiled 152 to 33 computations (78.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 234.0ms
ival-cos: 86.0ms (36.8% of total)
adjust: 76.0ms (32.5% of total)
ival-mult: 20.0ms (8.6% of total)
ival-sin: 18.0ms (7.7% of total)
const: 10.0ms (4.3% of total)
ival-tan: 9.0ms (3.8% of total)
ival-div: 7.0ms (3% of total)
ival-pow2: 4.0ms (1.7% of total)
ival-sub: 3.0ms (1.3% of total)
exact: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series27.0ms (0.4%)

Memory
-28.6MiB live, 13.1MiB allocated
Counts
16 → 47
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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.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))))))))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(* 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)))
(* 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))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 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 (sin x))
(- 1 (cos x))
(cos x)
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(* 3/8 (sin x))
Calls

3 calls:

TimeVariablePointExpression
20.0ms
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) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (* 3/8 (sin x)))
4.0ms
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) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (* 3/8 (sin x)))
2.0ms
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) (* (tan (* x 1/2)) 4/3) (* (- 1 (cos x)) (/ 1/2 (* 3/8 (sin x)))) (/ 1/2 (* 3/8 (sin x))) (- 1 (cos x)) (cos x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (* (pow (sin (* 1/2 x)) 2) 8/3) (pow (sin (* 1/2 x)) 2) (* 3/8 (sin x)))

simplify271.0ms (3.6%)

Memory
2.2MiB live, 199.8MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0192524
1546524
21371524
33169524
45161524
55444524
65869524
76805524
08134470
Stop Event
1×iter limit
1×node limit
Counts
47 → 47
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))))))))
(/ 4/3 x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(* 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)))
(* 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))))
(* 1/4 (pow x 2))
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(* 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 (sin x))
(- 1 (cos x))
(cos x)
(* 8/3 (pow (sin (* 1/2 x)) 2))
(pow (sin (* 1/2 x)) 2)
(* 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)
(/ 4/3 x)
(/.f64 #s(literal 4/3 binary64) x)
(/ (+ 4/3 (* 2/9 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal 2/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* 7/270 (pow x 2))))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal 7/270 binary64) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(/ (+ 4/3 (* (pow x 2) (+ 2/9 (* (pow x 2) (+ 7/270 (* 31/11340 (pow x 2))))))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 31/11340 binary64) (*.f64 x x) #s(literal 7/270 binary64)) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* 1/2 (pow x 2))
(*.f64 (*.f64 #s(literal 1/2 binary64) x) x)
(* (pow x 2) (+ 1/2 (* -1/24 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
(* (pow x 2) (+ 1/2 (* (pow x 2) (- (* (pow x 2) (+ 1/720 (* -1/40320 (pow x 2)))) 1/24))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/40320 binary64) (*.f64 x x) #s(literal 1/720 binary64)) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x) x)
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (pow x 2)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* 1/24 (pow x 2)) 1/2)))
(fma.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(+ 1 (* (pow x 2) (- (* (pow x 2) (+ 1/24 (* -1/720 (pow x 2)))) 1/2)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/720 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal -1/2 binary64)) (*.f64 x x) #s(literal 1 binary64))
(* 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)
(* 1/4 (pow x 2))
(*.f64 (*.f64 #s(literal 1/4 binary64) x) x)
(* (pow x 2) (+ 1/4 (* -1/48 (pow x 2))))
(*.f64 (*.f64 (fma.f64 #s(literal -1/48 binary64) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* 1/1440 (pow x 2)) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 #s(literal 1/1440 binary64) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* (pow x 2) (+ 1/4 (* (pow x 2) (- (* (pow x 2) (+ 1/1440 (* -1/80640 (pow x 2)))) 1/48))))
(*.f64 (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/80640 binary64) (*.f64 x x) #s(literal 1/1440 binary64)) (*.f64 x x) #s(literal -1/48 binary64)) (*.f64 x x) #s(literal 1/4 binary64)) x) x)
(* 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 #s(literal 8/3 binary64) (sin.f64 x)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(/ 4/3 (sin x))
(/.f64 #s(literal 4/3 binary64) (sin.f64 x))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* 8/3 (pow (sin (* 1/2 x)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow (sin (* 1/2 x)) 2)
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(* 3/8 (sin x))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))

rewrite269.0ms (3.6%)

Memory
22.3MiB live, 182.2MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
036132
053117
1128117
2550114
34638114
08857114
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
16 → 736
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 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
(*.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 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x)))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
(/.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))) (sin.f64 x))
#s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(*.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 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (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 #s(literal 4/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -1 binary64)))
(*.f64 (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 #s(literal -1 binary64) (*.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal -4/3 binary64)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -8/3 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 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) 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 #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 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))
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(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 x))) (/.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))) (neg.f64 (sin.f64 x))))
(-.f64 (/.f64 #s(literal 0 binary64) (sin.f64 x)) (/.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))) (neg.f64 (sin.f64 x))))
(-.f64 #s(literal 0 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))) (neg.f64 (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (sin.f64 x) #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))))) #s(literal -1 binary64)))
(*.f64 #s(literal -1 binary64) (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))))
(*.f64 #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))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) #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))))
#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)))
(neg.f64 (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))))
(-.f64 #s(literal 0 binary64) (neg.f64 #s(approx (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))))
(*.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) #s(literal 8/3 binary64))
(*.f64 (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal -8/3 binary64))
(*.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64))))
(*.f64 #s(literal -8/3 binary64) (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)))
(*.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 8/3 binary64)) #s(literal 1 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 1 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (neg.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)) #s(literal 1 binary64)))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (neg.f64 (*.f64 #s(literal -8/3 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 8/3 binary64)))
(*.f64 #s(literal 8/3 binary64) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64)))
(*.f64 #s(literal 8/3 binary64) (neg.f64 (neg.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(*.f64 #s(literal 8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 8/3 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal 2 binary64))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 8/3 binary64)) #s(literal 2 binary64))
(neg.f64 (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -8/3 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)) #s(literal 1 binary64)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/2 binary64)))
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 1/2 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))
(pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) #s(literal 1/2 binary64))
(pow.f64 (pow.f64 (exp.f64 #s(literal 2 binary64)) #s(literal 1 binary64)) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -1 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64))) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(/.f64 (-.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 6 binary64))) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))))
(/.f64 (-.f64 #s(literal 1/8 binary64) (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64))) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))) #s(literal -2 binary64))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x)))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))
(-.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))) (/.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))) (/.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 6 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 4 binary64)) (*.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))))))
(-.f64 (/.f64 #s(literal 1/8 binary64) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))))))
(-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 2 binary64)))
(-.f64 #s(literal 1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (exp.f64 #s(literal 2 binary64))) (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (cos.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64))))
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1 binary64) x))))
(+.f64 #s(literal 1/2 binary64) (neg.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1 binary64) x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(*.f64 #s(literal -3/8 binary64) (neg.f64 (sin.f64 x)))
(*.f64 (neg.f64 (sin.f64 x)) #s(literal -3/8 binary64))
(*.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(*.f64 (sin.f64 x) #s(literal 3/8 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) #s(literal 3/8 binary64)))
(*.f64 #s(literal 3/8 binary64) (sin.f64 x))
(pow.f64 (/.f64 #s(literal 8/3 binary64) (sin.f64 x)) #s(literal -1 binary64))
(pow.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal -3/8 binary64) (sin.f64 x)) #s(literal -1 binary64))
(/.f64 (neg.f64 (sin.f64 x)) #s(literal -8/3 binary64))
(/.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal 1 binary64))
(/.f64 (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 (*.f64 (sin.f64 x) #s(literal 3/8 binary64)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 #s(literal -3/8 binary64) (sin.f64 x)))
(exp.f64 (neg.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) #s(literal 3/8 binary64))) #s(literal -1 binary64))))

eval268.0ms (3.6%)

Memory
-16.1MiB live, 150.5MiB allocated
Compiler

Compiled 15 198 to 2 096 computations (86.2% saved)

prune96.0ms (1.3%)

Memory
21.2MiB live, 60.1MiB allocated
Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New7458753
Fresh6511
Picked235
Done000
Total75316769
Accuracy
100.0%
Counts
769 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))
▶52.8%
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
✓99.8%
(/.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1/2 binary64)) #s(literal 3/8 binary64))
▶98.8%
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
50.5%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
99.3%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
▶99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
52.7%
(-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
99.4%
(*.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))
99.3%
(*.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))
✓99.4%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
50.0%
(*.f64 #s(approx (tan (* x 1/2)) (*.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)) #s(literal 4/3 binary64))
▶50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
50.0%
#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))
▶50.1%
#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))
✓50.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 452 to 331 computations (26.8% saved)

simplify227.0ms (3%)

Memory
-24.2MiB live, 96.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
cost-diff1
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))
cost-diff1
(neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))
cost-diff3
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
cost-diff0
(cos.f64 x)
cost-diff0
(-.f64 #s(literal 1 binary64) (cos.f64 x))
cost-diff1
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
cost-diff2
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
cost-diff0
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
cost-diff0
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
cost-diff0
(*.f64 x x)
cost-diff0
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
cost-diff0
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
cost-diff0
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
cost-diff0
(*.f64 #s(literal 1/2 binary64) x)
cost-diff0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
cost-diff0
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
cost-diff2
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042218
067213
1114212
2200206
3430206
4958206
52031206
63005206
73923206
84448206
94597206
104890206
115114206
125129206
135135206
145135206
155137206
165137206
175211206
185658206
05658205
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 #s(literal 1 binary64) (/.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(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (*.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 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
#s(literal 4/3 binary64)
(sin.f64 x)
x
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))
#s(literal -1 binary64)
(cos.f64 x)
Outputs
(/.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) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
#s(literal 1 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(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64))
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
#s(literal 17/30240 binary64)
(*.f64 x x)
x
#s(literal 1/180 binary64)
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(*.f64 #s(literal -4/3 binary64) (sin.f64 x))
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
(*.f64 (sin.f64 x) #s(literal 4/3 binary64))
#s(literal 4/3 binary64)
(sin.f64 x)
x
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))
(-.f64 #s(literal -1 binary64) (cos.f64 x))
#s(literal -1 binary64)
(cos.f64 x)

localize215.0ms (2.9%)

Memory
30.7MiB live, 383.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.18197250976844204
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
accuracy0.3359375
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
accuracy0.4784279590646892
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))
accuracy0.0
(cos.f64 x)
accuracy0.2734375
(*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
accuracy12.152840359181628
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) (sin.f64 x))
accuracy17.56517783209598
(-.f64 #s(literal 1 binary64) (cos.f64 x))
accuracy0.0546875
(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))
accuracy0.19921875
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy0.2521862674663411
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
accuracy31.804669851157488
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
accuracy0.0
(*.f64 x x)
accuracy0.10546875
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
accuracy0.23828125
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
accuracy31.76686404730903
#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
(*.f64 #s(literal 1/2 binary64) x)
accuracy0.0
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
accuracy0.1484375
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))
accuracy0.3125
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
Samples
69.0ms66×2valid
64.0ms132×0valid
28.0ms44×1valid
18.0ms14×3valid
Compiler

Compiled 209 to 45 computations (78.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 146.0ms
ival-cos: 28.0ms (19.1% of total)
ival-mult: 27.0ms (18.4% of total)
const: 20.0ms (13.7% of total)
ival-sin: 14.0ms (9.6% of total)
adjust: 12.0ms (8.2% of total)
ival-div: 12.0ms (8.2% of total)
ival-sub: 11.0ms (7.5% of total)
ival-add: 9.0ms (6.1% of total)
ival-tan: 6.0ms (4.1% of total)
ival-neg: 5.0ms (3.4% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series21.0ms (0.3%)

Memory
-4.1MiB live, 33.3MiB allocated
Counts
21 → 77
Calls
Call 1
Inputs
(/.f64 #s(literal 1 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 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(/.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 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(* 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)))
(* -4/3 x)
(* x (- (* 2/9 (pow x 2)) 4/3))
(* x (- (* (pow x 2) (+ 2/9 (* -1/90 (pow x 2)))) 4/3))
(* x (- (* (pow x 2) (+ 2/9 (* (pow x 2) (- (* 1/3780 (pow x 2)) 1/90)))) 4/3))
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)
(* 4/3 x)
(* x (+ 4/3 (* -2/9 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/90 (pow x 2)) 2/9))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/3780 (pow x 2)))) 2/9))))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(* 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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(cos x)
(* -4/3 (/ (sin x) (- (* -1 (cos x)) 1)))
(* -4/3 (sin x))
(- (* -1 (cos x)) 1)
(* 4/3 (sin x))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
Calls

3 calls:

TimeVariablePointExpression
10.0ms
x
@0
((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (/ (neg (* 4/3 (sin x))) (+ (* -1 (cos x)) -1)) (neg (* 4/3 (sin x))) (+ (* -1 (cos x)) -1) (* 4/3 (sin x)) (+ (* 17/30240 (* x x)) 1/180))
5.0ms
x
@inf
((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (/ (neg (* 4/3 (sin x))) (+ (* -1 (cos x)) -1)) (neg (* 4/3 (sin x))) (+ (* -1 (cos x)) -1) (* 4/3 (sin x)) (+ (* 17/30240 (* x x)) 1/180))
5.0ms
x
@-inf
((/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (tan (* 1/2 x)) (* 1/2 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (* x x) 1/18) 2/3) x) (+ (* (* x x) 1/18) 2/3) (* x x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (- 1 (cos x)) (cos x) (/ (neg (* 4/3 (sin x))) (+ (* -1 (cos x)) -1)) (neg (* 4/3 (sin x))) (+ (* -1 (cos x)) -1) (* 4/3 (sin x)) (+ (* 17/30240 (* x x)) 1/180))

simplify173.0ms (2.3%)

Memory
-32.2MiB live, 212.5MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0233806
1649806
21629802
34081797
46427797
08091725
Stop Event
1×iter limit
1×node limit
Counts
77 → 77
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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(pow x 2)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(* 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)))
(* -4/3 x)
(* x (- (* 2/9 (pow x 2)) 4/3))
(* x (- (* (pow x 2) (+ 2/9 (* -1/90 (pow x 2)))) 4/3))
(* x (- (* (pow x 2) (+ 2/9 (* (pow x 2) (- (* 1/3780 (pow x 2)) 1/90)))) 4/3))
-2
(- (* 1/2 (pow x 2)) 2)
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)
(* 4/3 x)
(* x (+ 4/3 (* -2/9 (pow x 2))))
(* x (+ 4/3 (* (pow x 2) (- (* 1/90 (pow x 2)) 2/9))))
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/3780 (pow x 2)))) 2/9))))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
(* 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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 1/18 (pow x 3))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 1/18 (pow x 2))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(- 1 (cos x))
(cos x)
(* -4/3 (/ (sin x) (- (* -1 (cos x)) 1)))
(* -4/3 (sin x))
(- (* -1 (cos x)) 1)
(* 4/3 (sin x))
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
Outputs
(* 2/3 x)
(*.f64 #s(literal 2/3 binary64) x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(/ 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)
2/3
#s(literal 2/3 binary64)
(+ 2/3 (* 1/18 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(pow x 2)
(*.f64 x x)
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(* 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))
(* -4/3 x)
(*.f64 #s(literal -4/3 binary64) x)
(* x (- (* 2/9 (pow x 2)) 4/3))
(*.f64 (fma.f64 #s(literal 2/9 binary64) (*.f64 x x) #s(literal -4/3 binary64)) x)
(* x (- (* (pow x 2) (+ 2/9 (* -1/90 (pow x 2)))) 4/3))
(*.f64 (fma.f64 (fma.f64 #s(literal -1/90 binary64) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal -4/3 binary64)) x)
(* x (- (* (pow x 2) (+ 2/9 (* (pow x 2) (- (* 1/3780 (pow x 2)) 1/90)))) 4/3))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/3780 binary64) (*.f64 x x) #s(literal -1/90 binary64)) (*.f64 x x) #s(literal 2/9 binary64)) (*.f64 x x) #s(literal -4/3 binary64)) x)
-2
#s(literal -2 binary64)
(- (* 1/2 (pow x 2)) 2)
(fma.f64 (*.f64 #s(literal 1/2 binary64) x) x #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* -1/24 (pow x 2)))) 2)
(fma.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -2 binary64))
(- (* (pow x 2) (+ 1/2 (* (pow x 2) (- (* 1/720 (pow x 2)) 1/24)))) 2)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/720 binary64) (*.f64 x x) #s(literal -1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) (*.f64 x x) #s(literal -2 binary64))
(* 4/3 x)
(*.f64 #s(literal 4/3 binary64) x)
(* x (+ 4/3 (* -2/9 (pow x 2))))
(*.f64 (fma.f64 #s(literal -2/9 binary64) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* 1/90 (pow x 2)) 2/9))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/90 binary64) (*.f64 x x) #s(literal -2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
(* x (+ 4/3 (* (pow x 2) (- (* (pow x 2) (+ 1/90 (* -1/3780 (pow x 2)))) 2/9))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/3780 binary64) (*.f64 x x) #s(literal 1/90 binary64)) (*.f64 x x) #s(literal -2/9 binary64)) (*.f64 x x) #s(literal 4/3 binary64)) x)
1/180
#s(literal 1/180 binary64)
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(* 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))
(* 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)))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 2 binary64)) (sin.f64 x)) #s(literal 8/3 binary64))
(* 1/18 (pow x 3))
(*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/18 binary64))
(* (pow x 3) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(* 1/18 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 1/18 binary64))
(* (pow x 2) (+ 1/18 (* 2/3 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(* 17/30240 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/30240 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal -1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/30240 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal -17/30240 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (-.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) #s(literal 2/3 binary64))
(* 17/30240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/30240 binary64))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) x) x)
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* 4/3 (- 1 (cos x)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(- 1 (cos x))
(-.f64 #s(literal 1 binary64) (cos.f64 x))
(cos x)
(cos.f64 x)
(* -4/3 (/ (sin x) (- (* -1 (cos x)) 1)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #s(literal 4/3 binary64))
(* -4/3 (sin x))
(*.f64 #s(literal -4/3 binary64) (sin.f64 x))
(- (* -1 (cos x)) 1)
(-.f64 #s(literal -1 binary64) (cos.f64 x))
(* 4/3 (sin x))
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
(* 17/30240 (pow x 2))
(*.f64 #s(literal 17/30240 binary64) (*.f64 x x))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))

rewrite154.0ms (2%)

Memory
20.8MiB live, 253.1MiB allocated
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
042191
067187
1228179
21379175
08486175
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
21 → 707
Calls
Call 1
Inputs
(/.f64 #s(literal 1 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 #s(literal 1/2 binary64) x)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x)
(fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64))
(*.f64 x x)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(/.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 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64))
(*.f64 #s(literal 4/3 binary64) (sin.f64 x))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
Outputs
(*.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 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (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 #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 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -4/3 binary64))
(*.f64 #s(literal -1 binary64) (neg.f64 (*.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 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 (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 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1/2 binary64))
(pow.f64 (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 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (neg.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 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(literal -4/3 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -3/4 binary64))
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 4/3 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (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 1 binary64) (/.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal 4/3 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(-.f64 #s(literal 0 binary64) (/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -3/4 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (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 (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 #s(literal 3/4 binary64) (sin.f64 (*.f64 x #s(literal 1/2 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 binary64)) #s(literal 3/4 binary64))
(*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 3/4 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #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 binary64))
(pow.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal -3/4 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(neg.f64 (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (neg.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64))))
(exp.f64 (*.f64 (*.f64 (log.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)) #s(literal -1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 4/3 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)) (pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (cos.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 1 binary64) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(*.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (pow.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))
(pow.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))
(pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))))) (neg.f64 (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 (neg.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (neg.f64 (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))) #s(literal -1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (cos.f64 (*.f64 x #s(literal 1/2 binary64))))
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64)))
(neg.f64 (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 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 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal -4/9 binary64)) x) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal -4/9 binary64))) (pow.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal -2/3 binary64)) #s(literal -1 binary64)))
(*.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64))) (pow.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64)))) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 x (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal 2/3 binary64)))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x))) (-.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64)))) (-.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x #s(literal 2/3 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))))) (-.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (-.f64 (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 #s(literal 2/3 binary64) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 2/3 binary64) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 #s(literal 2/3 binary64) x) (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)) (*.f64 (*.f64 #s(literal 2/3 binary64) x) (*.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (-.f64 (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64))) (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x #s(literal 2/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(literal 2/3 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) #s(literal 3 binary64))) (fma.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x #s(literal 2/3 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x))) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))) (*.f64 (*.f64 x #s(literal 2/3 binary64)) (*.f64 x (*.f64 #s(literal 1/18 binary64) (*.f64 x x)))))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal -4/9 binary64)) x)) (neg.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal -2/3 binary64))))
(/.f64 (neg.f64 (*.f64 (fma.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832 binary64) #s(literal 8/27 binary64)) x)) (neg.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) (-.f64 #s(literal 4/9 binary64) (*.f64 (*.f64 x x) #s(literal 1/27 binary64))))))
(/.f64 (neg.f64 (*.f64 x (fma.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 1/324 binary64) #s(literal -4/9 binary64)))) (neg.f64 (fma.f64 #s(literal 1/18 binary64) (*.f64 x x) #s(literal -2/3 binary64))))
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(/.f64 (*.f64 (fma.f64 #s(literal 118587876497/21146382398483019084984666292224000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal 1/198359290368000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 24137569/764699349893278334976000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/34012224000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 4913/161273449709568000000 binary64)))) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal 1/32400 binary64))) (*.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64))) (neg.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (neg.f64 (+.f64 #s(literal 1/32400 binary64) (-.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))) (neg.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64))))))
(/.f64 (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/32400 binary64)) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)))
(/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (+.f64 #s(literal 1/32400 binary64) (-.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))))
(/.f64 (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64)) (fma.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/32400 binary64) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x))) (-.f64 #s(literal 1/32400 binary64) (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/32400 binary64) (-.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 17/5443200 binary64)))) (fma.f64 #s(literal 4913/27653197824000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/5832000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))))
(fma.f64 (*.f64 #s(literal 17/30240 binary64) x) x #s(literal 1/180 binary64))
(fma.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))
(fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(fma.f64 x (*.f64 #s(literal 17/30240 binary64) x) #s(literal 1/180 binary64))
(-.f64 (/.f64 #s(literal 1/32400 binary64) (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (/.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 289/914457600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64))) (neg.f64 (/.f64 #s(literal 1/32400 binary64) (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal -1/180 binary64)))))
(+.f64 (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)) #s(literal 1/180 binary64))
(+.f64 #s(literal 1/180 binary64) (*.f64 #s(literal 17/30240 binary64) (*.f64 x x)))

eval125.0ms (1.7%)

Memory
7.6MiB live, 285.0MiB allocated
Compiler

Compiled 24 338 to 3 037 computations (87.5% saved)

prune27.0ms (0.4%)

Memory
-0.8MiB live, 82.9MiB allocated
Pruning

18 alts after pruning (14 fresh and 4 done)

PrunedKeptTotal
New80212814
Fresh628
Picked325
Done123
Total81218830
Accuracy
100.0%
Counts
830 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
98.8%
(/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
▶99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.7%
(/.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)))))
▶52.9%
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
▶50.5%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
99.3%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
▶50.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
50.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
51.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
50.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
✓99.4%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
50.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
▶50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
✓50.1%
#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))
✓50.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 505 to 391 computations (22.6% saved)

simplify26.0ms (0.3%)

Memory
-8.0MiB live, 31.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
060301
084301
1125301
2195299
3393299
4760299
5954299
6985299
71010299
81022299
91025299
01025294
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
x
#s(literal 1/2 binary64)
#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 (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(literal 1 binary64)
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(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))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
#s(literal -1/20160 binary64)
(*.f64 x x)
x
#s(literal -1/480 binary64)
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
#s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
x
#s(literal -4/3 binary64)
#s(literal 4/3 binary64)
(sin.f64 x)
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(/.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(tan.f64 (*.f64 #s(literal 1/2 binary64) x))
(*.f64 x #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) x)
x
#s(literal 1/2 binary64)
#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 (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #s(literal 1/4 binary64) x)
#s(literal 1/4 binary64)
x
#s(literal 3/8 binary64)
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(*.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64))
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64))
#s(literal 1/180 binary64)
(*.f64 x x)
x
#s(literal 1/18 binary64)
#s(literal 2/3 binary64)
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(literal 1 binary64)
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(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))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
#s(literal -1/20160 binary64)
(*.f64 x x)
x
#s(literal -1/480 binary64)
#s(literal -1/8 binary64)
#s(literal 3/2 binary64)
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))) (sin.f64 x))
#s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)))
#s(approx (* (- 1 (cos x)) 4/3) (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))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos.f64 x)
x
#s(literal -4/3 binary64)
#s(literal 4/3 binary64)
(sin.f64 x)

localize258.0ms (3.4%)

Memory
23.1MiB live, 371.3MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
accuracy0.0
(cos.f64 x)
accuracy0.0
#s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)))
accuracy12.152840359181628
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
accuracy17.574999636378788
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
accuracy0.3125
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
accuracy0.3206100939607044
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
accuracy0.7068759498349066
(/.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)
accuracy31.712719157290973
#s(approx (/ 3/4 (tan (* 1/2 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))
accuracy0.0546875
(fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
accuracy0.19921875
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
accuracy31.32771717577837
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64))
accuracy31.804669851157488
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
accuracy0.0
(*.f64 #s(literal 1/4 binary64) x)
accuracy0.11328125
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
accuracy31.68865852777387
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
accuracy0.0
(*.f64 x #s(literal 1/2 binary64))
accuracy0.0
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
accuracy0.11328125
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Samples
81.0ms131×0valid
81.0ms66×2valid
32.0ms45×1valid
21.0ms14×3valid
Compiler

Compiled 232 to 57 computations (75.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 184.0ms
const: 44.0ms (24% of total)
ival-mult: 36.0ms (19.6% of total)
ival-cos: 24.0ms (13.1% of total)
ival-div: 19.0ms (10.4% of total)
adjust: 16.0ms (8.7% of total)
ival-add: 16.0ms (8.7% of total)
ival-tan: 11.0ms (6% of total)
ival-sin: 11.0ms (6% of total)
ival-sub: 5.0ms (2.7% of total)
exact: 1.0ms (0.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series16.0ms (0.2%)

Memory
-21.4MiB live, 15.3MiB allocated
Counts
20 → 75
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
#s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 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))))))))
(* 1/2 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8)))
(* 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)))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
-1/480
(- (* -1/20160 (pow x 2)) 1/480)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1/20160 (pow x 5))
(* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1/20160 (pow x 6))
(* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1/20160 (pow x 2))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6))))))
Calls

3 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* 1/4 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (+ (* (cos x) -4/3) 4/3) (cos x) (+ (* 17/30240 (* x x)) 1/180) (+ (* -1/20160 (* x x)) -1/480))
4.0ms
x
@inf
((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* 1/4 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (+ (* (cos x) -4/3) 4/3) (cos x) (+ (* 17/30240 (* x x)) 1/180) (+ (* -1/20160 (* x x)) -1/480))
2.0ms
x
@0
((/ (tan (* x 1/2)) 3/4) (tan (* x 1/2)) (* x 1/2) (/ (* (tan (* x 1/2)) 1/2) 3/8) (* (tan (* x 1/2)) 1/2) (* 1/4 x) (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (* (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) x) (+ (* (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (* x x)) 2/3) (+ (* (+ (* 17/30240 (* x x)) 1/180) (* x x)) 1/18) (/ 1 (/ 3/4 (tan (* 1/2 x)))) (/ 3/4 (tan (* 1/2 x))) (/ (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) x) (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) (/ (* (- 1 (cos x)) 4/3) (sin x)) (* (- 1 (cos x)) 4/3) (+ (* (cos x) -4/3) 4/3) (cos x) (+ (* 17/30240 (* x x)) 1/180) (+ (* -1/20160 (* x x)) -1/480))

simplify148.0ms (2%)

Memory
10.6MiB live, 135.0MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0215848
1637848
21782840
34795831
08249770
Stop Event
1×iter limit
1×node limit
Counts
75 → 75
Calls
Call 1
Inputs
(* 2/3 x)
(* x (+ 2/3 (* 1/18 (pow x 2))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2))))))
(* x (+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2))))))))
(* 1/2 x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(* 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))))))))
2/3
(+ 2/3 (* 1/18 (pow x 2)))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
1/18
(+ 1/18 (* 1/180 (pow x 2)))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(/ 3/2 x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
3/2
(+ 3/2 (* -1/8 (pow x 2)))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8)))
(* 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)))
1/180
(+ 1/180 (* 17/30240 (pow x 2)))
-1/480
(- (* -1/20160 (pow x 2)) 1/480)
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(* 1/2 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(* 8/3 (/ (pow (sin (* 1/2 x)) 2) (sin x)))
(* 17/30240 (pow x 7))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 6))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(* 17/30240 (pow x 4))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(* -1/20160 (pow x 5))
(* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1/20160 (pow x 6))
(* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(* 4/3 (- 1 (cos x)))
(+ 4/3 (* -4/3 (cos x)))
(cos x)
(* 17/30240 (pow x 2))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(* -1/20160 (pow x 2))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(* -1 (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6))))))
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 (*.f64 x x) #s(literal 1/180 binary64) #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 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(* 1/2 x)
(*.f64 #s(literal 1/2 binary64) x)
(* x (+ 1/2 (* 1/24 (pow x 2))))
(*.f64 (fma.f64 #s(literal 1/24 binary64) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* 1/240 (pow x 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/240 binary64) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* x (+ 1/2 (* (pow x 2) (+ 1/24 (* (pow x 2) (+ 1/240 (* 17/40320 (pow x 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/40320 binary64) (*.f64 x x) #s(literal 1/240 binary64)) (*.f64 x x) #s(literal 1/24 binary64)) (*.f64 x x) #s(literal 1/2 binary64)) x)
(* 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)
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))
(+ 2/3 (* (pow x 2) (+ 1/18 (* 1/180 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(+ 2/3 (* (pow x 2) (+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))))
(fma.f64 (fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
1/18
#s(literal 1/18 binary64)
(+ 1/18 (* 1/180 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 1/180 binary64) #s(literal 1/18 binary64))
(+ 1/18 (* (pow x 2) (+ 1/180 (* 17/30240 (pow x 2)))))
(fma.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(/ 3/2 x)
(/.f64 #s(literal 3/2 binary64) x)
(/ (+ 3/2 (* -1/8 (pow x 2))) x)
(/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 #s(literal -1/480 binary64) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
(/ (+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8))) x)
(/.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)
3/2
#s(literal 3/2 binary64)
(+ 3/2 (* -1/8 (pow x 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64))
(+ 3/2 (* (pow x 2) (- (* -1/480 (pow x 2)) 1/8)))
(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))
(+ 3/2 (* (pow x 2) (- (* (pow x 2) (- (* -1/20160 (pow x 2)) 1/480)) 1/8)))
(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))
(* 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))
1/180
#s(literal 1/180 binary64)
(+ 1/180 (* 17/30240 (pow x 2)))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
-1/480
#s(literal -1/480 binary64)
(- (* -1/20160 (pow x 2)) 1/480)
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
(* 4/3 (/ (sin (* 1/2 x)) (cos (* 1/2 x))))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/ (sin (* 1/2 x)) (cos (* 1/2 x)))
(/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x)))
(* 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))
(* 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))
(* 17/30240 (pow x 7))
(*.f64 (pow.f64 x #s(literal 7 binary64)) #s(literal 17/30240 binary64))
(* (pow x 7) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) (pow.f64 x #s(literal 7 binary64)))
(* (pow x 7) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(*.f64 (+.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 17/30240 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* 17/30240 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 17/30240 binary64))
(* (pow x 6) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64)))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(*.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))))
(* (pow x 6) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (+ (* 1/180 (/ 1 (pow x 2))) (* 2/3 (/ 1 (pow x 6)))))))
(fma.f64 (pow.f64 x #s(literal 6 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/180 binary64) (*.f64 x x)) #s(literal 17/30240 binary64))) #s(literal 2/3 binary64))
(* 17/30240 (pow x 4))
(*.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 17/30240 binary64))
(* (pow x 4) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64)) x) x)
(* (pow x 4) (+ 17/30240 (+ (/ 1/18 (pow x 4)) (* 1/180 (/ 1 (pow x 2))))))
(fma.f64 (pow.f64 x #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/18 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 17/30240 binary64)) (*.f64 (*.f64 x x) #s(literal 1/180 binary64)))
(* 3/4 (/ (cos (* 1/2 x)) (sin (* 1/2 x))))
(*.f64 (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 3/4 binary64))
(* -1/20160 (pow x 5))
(*.f64 (pow.f64 x #s(literal 5 binary64)) #s(literal -1/20160 binary64))
(* -1 (* (pow x 5) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 5 binary64)))
(* (pow x 5) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))
(* -1/20160 (pow x 6))
(*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal -1/20160 binary64))
(* -1 (* (pow x 6) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(*.f64 (-.f64 #s(literal -1/20160 binary64) (/.f64 #s(literal 1/480 binary64) (*.f64 x x))) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* -1 (/ (+ 1/480 (* 1/8 (/ 1 (pow x 2)))) (pow x 2))) 1/20160))
(*.f64 (-.f64 (/.f64 (/.f64 (-.f64 #s(literal -1/480 binary64) (/.f64 #s(literal 1/8 binary64) (*.f64 x x))) x) x) #s(literal 1/20160 binary64)) (pow.f64 x #s(literal 6 binary64)))
(* (pow x 6) (- (* 3/2 (/ 1 (pow x 6))) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(fma.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 6 binary64)) #s(literal 3/2 binary64))
(* 4/3 (/ (- 1 (cos x)) (sin x)))
(*.f64 (tan.f64 (/.f64 x #s(literal 2 binary64))) #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))
(+ 4/3 (* -4/3 (cos x)))
(fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal 4/3 binary64))
(cos x)
(cos.f64 x)
(* 17/30240 (pow x 2))
(*.f64 (*.f64 x x) #s(literal 17/30240 binary64))
(* (pow x 2) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))
(fma.f64 (*.f64 x x) #s(literal 17/30240 binary64) #s(literal 1/180 binary64))
(* -1/20160 (pow x 2))
(*.f64 #s(literal -1/20160 binary64) (*.f64 x x))
(* -1 (* (pow x 2) (+ 1/20160 (* 1/480 (/ 1 (pow x 2))))))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/180 (* 1/18 (/ 1 (pow x 2)))) (pow x 2))) 17/30240)))
(*.f64 (-.f64 (/.f64 (/.f64 (+.f64 (/.f64 #s(literal 1/18 binary64) (*.f64 x x)) #s(literal 1/180 binary64)) x) x) #s(literal -17/30240 binary64)) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 7) (- (* -1 (/ (+ 1/18 (* 2/3 (/ 1 (pow x 2)))) (pow x 4))) (+ 17/30240 (* 1/180 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 2/3 binary64) (*.f64 x x)) #s(literal 1/18 binary64)) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -17/30240 binary64) (/.f64 #s(literal 1/180 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 7 binary64)))
(* -1 (* (pow x 5) (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2)))))))
(*.f64 (-.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/480 binary64) (*.f64 x x)) #s(literal 1/20160 binary64))) (pow.f64 x #s(literal 5 binary64)))
(* -1 (* (pow x 5) (- (+ 1/20160 (+ (/ 1/8 (pow x 4)) (* 1/480 (/ 1 (pow x 2))))) (* 3/2 (/ 1 (pow x 6))))))
(*.f64 (-.f64 (-.f64 (/.f64 #s(literal 3/2 binary64) (pow.f64 x #s(literal 6 binary64))) #s(literal 1/20160 binary64)) (+.f64 (/.f64 #s(literal 1/8 binary64) (pow.f64 x #s(literal 4 binary64))) (/.f64 #s(literal 1/480 binary64) (*.f64 x x)))) (pow.f64 x #s(literal 5 binary64)))

rewrite175.0ms (2.3%)

Memory
8.9MiB live, 251.0MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060263
084263
1294260
21654260
08216255
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
20 → 458
Calls
Call 1
Inputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
(tan.f64 (*.f64 x #s(literal 1/2 binary64)))
(*.f64 x #s(literal 1/2 binary64))
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
#s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x))
(*.f64 #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 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x)
(fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64))
(fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
#s(approx (/ 3/4 (tan (* 1/2 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))
(/.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)
(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))
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
#s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64)))
(fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))
(cos.f64 x)
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
Outputs
(*.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 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)) #s(literal -4/3 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 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x)))) #s(literal 4/3 binary64))
(*.f64 (*.f64 #s(literal 4/3 binary64) (tan.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 -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))))
(*.f64 #s(literal -4/3 binary64) (pow.f64 (pow.f64 (neg.f64 (tan.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal -1 binary64)) #s(literal -1 binary64)))
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(fma.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)))))
(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))
(-.f64 (/.f64 #s(literal 16/9 binary64) (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -4/3 binary64) (cos.f64 x)))) (/.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -4/3 binary64) (cos.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))) (/.f64 #s(literal 16/9 binary64) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))))
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 2 binary64)) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64))) (neg.f64 (/.f64 #s(literal 16/9 binary64) (fma.f64 #s(literal -4/3 binary64) (cos.f64 x) #s(literal -4/3 binary64)))))
(+.f64 (*.f64 #s(literal -4/3 binary64) (cos.f64 x)) #s(literal 4/3 binary64))
(+.f64 #s(literal 4/3 binary64) (*.f64 #s(literal -4/3 binary64) (cos.f64 x)))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(cos.f64 x)
#s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64))
(*.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(*.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))))
(*.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))))))
(*.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)) (pow.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal -1 binary64)))
(*.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1/230400 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(*.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (pow.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))) #s(literal -1 binary64))
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (fma.f64 (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (*.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))))))
(/.f64 (neg.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)))) (neg.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)) #s(literal 4 binary64)) #s(literal 1/53084160000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal 1/230400 binary64)) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/67134099304759689216000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/12230590464000000 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)) #s(literal 4 binary64)) (+.f64 #s(literal 1/53084160000 binary64) (*.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) #s(literal 1/230400 binary64)))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (*.f64 (fma.f64 #s(literal 1/67134099304759689216000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) #s(literal -1/12230590464000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal 1/110592000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (*.f64 (fma.f64 #s(literal -1/550065934462394237235794804736000000000 binary64) (pow.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 3 binary64)) #s(literal -1/1352605460594688000000000 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 #s(literal 1/67134099304759689216000000 binary64) (pow.f64 (pow.f64 x #s(literal 4 binary64)) #s(literal 3 binary64)) (-.f64 #s(literal 1/12230590464000000 binary64) (*.f64 (pow.f64 x #s(literal 6 binary64)) #s(literal 1/906139986296832000000 binary64)))) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (*.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal 1/230400 binary64))) (*.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (-.f64 #s(literal 1/230400 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)))) (-.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))))
(/.f64 (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64))) (neg.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))) (neg.f64 (+.f64 #s(literal 1/230400 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (neg.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))) (neg.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64))))))
(/.f64 (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) #s(literal -1/230400 binary64)) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))
(/.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (+.f64 #s(literal 1/230400 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))))
(/.f64 (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64)) (fma.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64)) (-.f64 #s(literal 1/230400 binary64) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x))) (-.f64 #s(literal 1/230400 binary64) (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1/230400 binary64) (-.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (*.f64 (*.f64 x x) #s(literal 1/9676800 binary64)))) (fma.f64 #s(literal -1/8193540096000 binary64) (pow.f64 x #s(literal 6 binary64)) #s(literal -1/110592000 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))))
(fma.f64 (*.f64 #s(literal -1/20160 binary64) x) x #s(literal -1/480 binary64))
(fma.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))))
(fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal -1/480 binary64))
(fma.f64 (*.f64 x x) #s(literal -1/20160 binary64) #s(literal -1/480 binary64))
(fma.f64 x (*.f64 #s(literal -1/20160 binary64) x) #s(literal -1/480 binary64))
(-.f64 (/.f64 #s(literal 1/230400 binary64) (-.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))) (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (-.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))))
(-.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))))
(+.f64 (/.f64 (*.f64 #s(literal 1/406425600 binary64) (pow.f64 x #s(literal 4 binary64))) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64))) (neg.f64 (/.f64 #s(literal 1/230400 binary64) (fma.f64 #s(literal -1/20160 binary64) (*.f64 x x) #s(literal 1/480 binary64)))))
(+.f64 (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)) #s(literal -1/480 binary64))
(+.f64 #s(literal -1/480 binary64) (*.f64 #s(literal -1/20160 binary64) (*.f64 x x)))

eval70.0ms (0.9%)

Memory
4.7MiB live, 116.8MiB allocated
Compiler

Compiled 22 554 to 2 384 computations (89.4% saved)

prune26.0ms (0.3%)

Memory
12.7MiB live, 54.0MiB allocated
Pruning

20 alts after pruning (13 fresh and 7 done)

PrunedKeptTotal
New5206526
Fresh279
Picked235
Done044
Total52420544
Accuracy
100.0%
Counts
544 → 20
Alt Table
Click to see full alt table
StatusAccuracyProgram
52.9%
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 binary64)))
98.8%
(/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (-.f64 #s(literal -1 binary64) (cos.f64 x)))
✓99.8%
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
99.7%
(/.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)))))
✓52.9%
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
✓50.5%
(/.f64 #s(approx (* (tan (* x 1/2)) 1/2) (*.f64 #s(literal 1/4 binary64) x)) #s(literal 3/8 binary64))
99.3%
(/.f64 #s(literal 8/3 binary64) (/.f64 #s(literal 2 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
✓99.5%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3/4 binary64) (tan.f64 (*.f64 #s(literal 1/2 binary64) x))))
99.3%
(/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
50.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/20160 (* x x)) -1/480) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
50.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (*.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)) x) x #s(literal 3/2 binary64)) x)))
51.1%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
50.8%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (+.f64 (*.f64 (*.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)) x) x) #s(literal 3/2 binary64)) x)))
50.3%
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
✓99.4%
(*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 binary64))
50.1%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
50.0%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
✓50.1%
#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))
✓50.2%
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
Compiler

Compiled 1 137 to 502 computations (55.8% saved)

regimes24.0ms (0.3%)

Memory
-1.8MiB live, 36.5MiB allocated
Counts
43 → 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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (tan (* x 1/2)) (*.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)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/20160 (* x x)) -1/480) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (*.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)) x) x #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (+.f64 (*.f64 (*.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)) x) x) #s(literal 3/2 binary64)) x)))
(*.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 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 #s(literal -3/4 binary64) (/.f64 #s(literal -1 binary64) (tan.f64 (*.f64 x #s(literal 1/2 binary64))))))
(/.f64 #s(approx (* (- 1 (cos x)) 4/3) (fma.f64 (cos.f64 x) #s(literal -4/3 binary64) #s(literal 4/3 binary64))) (sin.f64 x))
(/.f64 (*.f64 #s(literal -4/3 binary64) (sin.f64 x)) (-.f64 #s(literal -1 binary64) (cos.f64 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)) (*.f64 #s(literal 3/4 binary64) (sin.f64 x)))
(/.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal 3/4 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 (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 -1 binary64) (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal -4/3 binary64)))
(/.f64 (neg.f64 (*.f64 #s(literal 4/3 binary64) (sin.f64 x))) (fma.f64 #s(literal -1 binary64) (cos.f64 x) #s(literal -1 binary64)))
(/.f64 (+.f64 #s(literal 4/3 binary64) (*.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 x)) #s(literal 8/3 binary64))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) x))) #s(literal 4/3 binary64))
(/.f64 (sin.f64 (*.f64 x #s(literal 1/2 binary64))) (*.f64 #s(literal 3/4 binary64) (cos.f64 (*.f64 x #s(literal 1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 4/3 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 #s(literal 1/2 binary64) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))) (/.f64 (*.f64 (cos.f64 x) #s(literal 1/2 binary64)) (*.f64 #s(literal 3/8 binary64) (sin.f64 x))))
(/.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 (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) (*.f64 (-.f64 #s(literal 1 binary64) (cos.f64 x)) #s(literal 4/3 binary64))))
Outputs
(/.f64 (tan.f64 (*.f64 x #s(literal 1/2 binary64))) #s(literal 3/4 binary64))
Calls

2 calls:

12.0ms
(/.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))
11.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes13.0ms (0.2%)

Memory
-19.1MiB live, 19.2MiB allocated
Counts
19 → 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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (tan (* x 1/2)) (*.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)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/20160 (* x x)) -1/480) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (*.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)) x) x #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (+.f64 (*.f64 (*.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)) x) x) #s(literal 3/2 binary64)) x)))
(*.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:

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))
5.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes11.0ms (0.1%)

Memory
18.5MiB live, 18.5MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 #s(literal 2/3 binary64) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 x x) #s(literal 1/18 binary64) #s(literal 2/3 binary64)) x))
(/.f64 #s(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)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) x) x #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 17/30240 binary64) (*.f64 x x) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
(*.f64 #s(approx (tan (* x 1/2)) (*.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)) #s(literal 4/3 binary64))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* -1/20160 (* x x)) -1/480) #s(literal -1/480 binary64)) (*.f64 x x) #s(literal -1/8 binary64)) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 (*.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)) x) x #s(literal 3/2 binary64)) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 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)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (+.f64 (*.f64 (*.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)) x) x) #s(literal 3/2 binary64)) x)))
Outputs
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
Calls

2 calls:

5.0ms
x
5.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Results
AccuracySegmentsBranch
51.1%1x
51.1%1(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes8.0ms (0.1%)

Memory
-25.9MiB live, 12.5MiB 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))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (fma.f64 (*.f64 #s(literal 1/18 binary64) (*.f64 x x)) x (*.f64 #s(literal 2/3 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(literal 3/2 binary64) x)))
(/.f64 #s(literal 1 binary64) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 #s(approx (+ (* (+ (* (+ (* -1/20160 (* x x)) -1/480) (* x x)) -1/8) (* x x)) 3/2) #s(literal 3/2 binary64)) x)))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 x x) #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) #s(literal 1/18 binary64)) x) x #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(literal 1/180 binary64) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) (*.f64 x x) #s(literal 1/18 binary64)) (*.f64 x x) #s(literal 2/3 binary64)) x))
#s(approx (/ (* (* (/ 8 3) (sin (* x 1/2))) (sin (* x 1/2))) (sin x)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(approx (+ (* 17/30240 (* x x)) 1/180) #s(literal 1/180 binary64)) 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:

4.0ms
(/.f64 (*.f64 (*.f64 (/.f64 #s(literal 8 binary64) #s(literal 3 binary64)) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 (*.f64 x #s(literal 1/2 binary64)))) (sin.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
50.5%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))
50.5%1x
Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes3.0ms (0%)

Memory
6.4MiB live, 6.4MiB allocated
Accuracy

Total -0.3b remaining (-0.8%)

Threshold costs -0.3b (-0.8%)

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
50.2%1x
50.2%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))
Compiler

Compiled 17 to 12 computations (29.4% saved)

simplify10.0ms (0.1%)

Memory
15.9MiB live, 15.9MiB allocated
Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03959
15159
26159
37059
47359
Stop Event
1×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) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(/.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) #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)))
(pow.f64 #s(approx (/ 3/4 (tan (* 1/2 x))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 x x) #s(literal 3/2 binary64)) x)) #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))

soundness1.3s (17.8%)

Memory
10.9MiB live, 605.5MiB allocated
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042191
067187
1228179
21379175
08486175
036132
053117
1128117
2550114
34638114
08857114
0192524
1546524
21371524
33169524
45161524
55444524
65869524
76805524
08134470
0233806
1649806
21629802
34081797
46427797
08091725
090225
1252225
2600219
31793219
43346219
54709219
65022219
75317219
85939219
97811219
08078195
01134
01934
13428
211828
365124
4547021
0809821
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 147 to 98 computations (33.3% saved)

preprocess125.0ms (1.7%)

Memory
-33.6MiB live, 135.2MiB allocated
Remove

(negabs x)

Compiler

Compiled 210 to 148 computations (29.5% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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