Lanczos kernel

Time bar (total: 15.6s)

analyze22.0ms (0.1%)

Memory
1.8MiB live, 38.7MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.9s (11.9%)

Memory
-192.9MiB live, 2 565.8MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.2s
ival-mult: 404.0ms (33.4% of total)
ival-sin: 253.0ms (20.9% of total)
ival-div: 207.0ms (17.1% of total)
ival-<=: 127.0ms (10.5% of total)
const: 120.0ms (9.9% of total)
ival-pi: 69.0ms (5.7% of total)
ival-and: 20.0ms (1.7% of total)
exact: 8.0ms (0.7% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess99.0ms (0.6%)

Memory
-24.4MiB live, 53.6MiB allocated
Algorithm
1×egg-herbie
Rules
1 192×neg-sub0
1 146×neg-mul-1
868×distribute-frac-neg
794×associate-*l*
772×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028123
188123
2415107
32253107
44724107
56828107
67824107
01021
01821
13121
28821
329621
469921
5108221
6111521
7111521
0111521
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
Symmetry

(abs tau)

(abs x)

explain137.0ms (0.9%)

Memory
14.0MiB live, 245.7MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
54.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-sin: 16.0ms (44.4% of total)
ival-mult: 11.0ms (30.5% of total)
ival-div: 6.0ms (16.7% of total)
ival-pi: 2.0ms (5.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.0MiB live, 2.0MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify36.0ms (0.2%)

Memory
15.8MiB live, 69.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Rules
598×times-frac
578×lower-*.f64
572×lower-*.f32
540×lower-/.f64
536×lower-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
01862
13162
28862
329662
469962
5108262
6111562
7111562
0111562
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

localize36.0ms (0.2%)

Memory
6.1MiB live, 82.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(*.f32 x (PI.f32))
✓accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
24.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (41.9% of total)
ival-mult: 5.0ms (29.9% of total)
ival-div: 3.0ms (18% of total)
ival-pi: 1.0ms (6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-14.7MiB live, 65.4MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
Calls

30 calls:

TimeVariablePointExpression
3.0ms
tau
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms
x
@0
(/ (sin (* x (PI))) (* x (PI)))
3.0ms
x
@0
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms
x
@0
(sin (* (* x (PI)) tau))
2.0ms
x
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite275.0ms (1.8%)

Memory
-3.1MiB live, 304.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×lower-*.f64
4 754×lower-*.f32
3 316×lower-/.f64
3 312×lower-/.f32
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
01855
16355
248353
3648553
0811453
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 670
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 x (cbrt.f32 (PI.f32))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal -1/3 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (cbrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (*.f32 x (PI.f32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32))
(*.f32 x (PI.f32))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 x (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 x (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))

simplify492.0ms (3.1%)

Memory
38.0MiB live, 905.2MiB allocated
Algorithm
1×egg-herbie
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
6 828×lower-+.f64
6 828×lower-+.f32
6 246×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 tau tau)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))

eval95.0ms (0.6%)

Memory
-17.7MiB live, 290.6MiB allocated
Compiler

Compiled 24 206 to 2 294 computations (90.5% saved)

prune208.0ms (1.3%)

Memory
-37.5MiB live, 362.1MiB allocated
Pruning

28 alts after pruning (27 fresh and 1 done)

PrunedKeptTotal
New986271 013
Fresh000
Picked011
Done000
Total986281 014
Accuracy
100.0%
Counts
1 014 → 28
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
97.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
97.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) tau) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 (PI.f32) tau) (cbrt.f32 (PI.f32))))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
67.9%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
▶98.2%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
▶97.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
65.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
82.4%
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
✓98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
▶97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
▶64.9%
#s(literal 1 binary32)
Compiler

Compiled 1 287 to 710 computations (44.8% saved)

simplify317.0ms (2%)

Memory
12.8MiB live, 523.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff128
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
✓cost-diff320
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
✓cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
Rules
11 150×lower-fma.f64
11 140×lower-fma.f32
5 348×lower-*.f64
5 314×lower-*.f32
3 468×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040406
078402
1181392
2632380
33145380
08240380
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 1 binary32)
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
#s(literal 1/120 binary32)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 tau tau)
tau
(fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 x)
(/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(neg.f32 (*.f32 x (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(PI.f32)
(*.f32 x tau)
x
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
#s(literal 1 binary32)
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
(fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 tau (*.f32 tau (*.f32 tau tau)))
(*.f32 tau tau)
tau
(fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))
(fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) x)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x))))))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) x)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 tau (*.f32 x (neg.f32 (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(neg.f32 x)
(/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 tau (*.f32 (PI.f32) x))))
(*.f32 (PI.f32) tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 tau (*.f32 (PI.f32) x)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 (PI.f32) x))
(*.f32 x tau)
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 x (neg.f32 (PI.f32)))

localize204.0ms (1.3%)

Memory
13.3MiB live, 280.7MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.6%
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
✓accuracy98.5%
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy95.0%
(pow.f32 (PI.f32) #s(literal 4 binary32))
✓accuracy99.1%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Samples
109.0ms256×0valid
Compiler

Compiled 424 to 47 computations (88.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 32.0ms (46.4% of total)
const: 11.0ms (15.9% of total)
ival-div: 8.0ms (11.6% of total)
ival-sin: 7.0ms (10.1% of total)
ival-add: 6.0ms (8.7% of total)
ival-neg: 2.0ms (2.9% of total)
ival-pow: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series45.0ms (0.3%)

Memory
-4.2MiB live, 76.0MiB allocated
Counts
22 → 396
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))>
#<alt (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))>
#<alt (*.f32 x x)>
#<alt (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))>
#<alt (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (pow.f32 (PI.f32) #s(literal 4 binary32))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (*.f32 tau tau) (*.f32 tau tau))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (PI.f32) tau)>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (sin (* x (PI))))>
#<alt (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))>
#<alt (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/36 (pow tau 2)))>
#<alt (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))>
#<alt (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))>
#<alt (* 1/120 (pow tau 4))>
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#<alt (* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (* x (PI))>
#<alt (+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))>
#<alt (+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt (+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
Calls

99 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(* (* (neg x) (/ (* (PI) tau) (sin (* (PI) (* x tau))))) (neg (* x (PI))))
4.0ms
x
@0
(/ 1 (* x (* (PI) (* (PI) (* x tau)))))
1.0ms
tau
@0
(* (* (neg x) (/ (* (PI) tau) (sin (* (PI) (* x tau))))) (neg (* x (PI))))
1.0ms
x
@-inf
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI))))
1.0ms
x
@0
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)

rewrite427.0ms (2.7%)

Memory
50.6MiB live, 674.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 142×lower-fma.f64
5 132×lower-fma.f32
4 532×lower-*.f64
4 498×lower-*.f32
3 254×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040269
078259
1306251
22424243
08111241
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 736
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (PI.f32) tau)
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))) (*.f32 x (*.f32 (PI.f32) tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 x tau))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (*.f32 (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) x))))) (neg.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 x tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
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(/.f32 (-.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) #s(literal 1 binary32))
(*.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) #s(literal 1/2 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) tau))
(*.f32 (*.f32 tau #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify519.0ms (3.3%)

Memory
-16.5MiB live, 1 056.4MiB allocated
Algorithm
1×egg-herbie
Rules
15 126×lower-fma.f64
15 126×lower-fma.f32
8 794×lower-*.f64
8 794×lower-*.f32
3 446×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04686888
116036656
262366464
081176186
Stop Event
1×iter limit
1×node limit
Counts
396 → 396
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1/120
(+ 1/120 (* 1/36 (pow tau 2)))
(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
1
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))
(+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))
(+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* x (PI))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
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(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(* tau (* x (PI)))
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
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(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
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(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
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1/120
#s(literal 1/120 binary32)
(+ 1/120 (* 1/36 (pow tau 2)))
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(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
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(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(* 1/120 (pow tau 4))
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(pow x 2)
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1
#s(literal 1 binary32)
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(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))) (*.f32 x (PI.f32)))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
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eval155.0ms (1%)

Memory
15.4MiB live, 493.1MiB allocated
Compiler

Compiled 52 155 to 2 853 computations (94.5% saved)

prune204.0ms (1.3%)

Memory
-10.3MiB live, 544.7MiB allocated
Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New1 413371 450
Fresh91322
Picked415
Done011
Total1 426521 478
Accuracy
100.0%
Counts
1 478 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.0%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
88.1%
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
87.3%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
▶88.1%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
68.0%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) #s(literal 2 binary32))
88.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
72.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
87.3%
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
81.0%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
▶64.8%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
▶72.0%
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
97.0%
(/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
80.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
65.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
▶98.1%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
87.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
88.1%
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
88.0%
(+.f32 (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
96.9%
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
✓98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
97.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (sin.f32 (*.f32 x (PI.f32)))))
▶97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
87.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
72.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
13.7%
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓64.9%
#s(literal 1 binary32)
Compiler

Compiled 3 024 to 1 637 computations (45.9% saved)

simplify238.0ms (1.5%)

Memory
-2.2MiB live, 356.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff128
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
✓cost-diff608
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓cost-diff384
(+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 tau (PI.f32))
✓cost-diff0
(*.f32 x (*.f32 tau (PI.f32)))
✓cost-diff992
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
✓cost-diff0
(neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))
✓cost-diff128
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
Rules
5 204×lower-*.f64
5 150×lower-*.f32
4 726×lower-fma.f64
4 718×lower-fma.f32
3 004×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054506
0106512
1254464
2958450
34462450
08441446
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 x)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (PI.f32)))
x
(*.f32 tau (PI.f32))
tau
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
x
(+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(*.f32 tau tau)
tau
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))
(*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
#s(literal 1 binary32)
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 x)
(/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (PI.f32) tau)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(sin.f32 (*.f32 (PI.f32) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) x)
(*.f32 x (PI.f32))
(*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 x)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
#s(literal 1 binary32)
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
tau
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
x
(+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 tau #s(literal -1/6 binary32))) (PI.f32))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(*.f32 tau tau)
tau
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
(fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))
(*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 tau #s(literal -1/6 binary32))))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))
#s(literal -1/6 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
#s(literal 1 binary32)
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 x)
(/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(neg.f32 (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 (*.f32 (PI.f32) tau) x))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))

localize224.0ms (1.4%)

Memory
19.4MiB live, 384.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.6%
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
✓accuracy98.7%
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
✓accuracy98.6%
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy100.0%
(PI.f32)
✓accuracy99.1%
(*.f32 x (*.f32 tau (PI.f32)))
✓accuracy98.9%
(*.f32 tau (PI.f32))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
✓accuracy98.7%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
Samples
133.0ms256×0valid
Compiler

Compiled 521 to 60 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 100.0ms
ival-mult: 55.0ms (54.9% of total)
ival-sin: 18.0ms (18% of total)
const: 9.0ms (9% of total)
ival-div: 8.0ms (8% of total)
ival-add: 6.0ms (6% of total)
ival-neg: 3.0ms (3% of total)
ival-pi: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series23.0ms (0.1%)

Memory
9.8MiB live, 47.9MiB allocated
Counts
27 → 504
Calls
Call 1
Inputs
#<alt (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 x (*.f32 tau (PI.f32)))>
#<alt (*.f32 tau (PI.f32))>
#<alt (PI.f32)>
#<alt (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))>
#<alt (fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))>
#<alt (*.f32 x x)>
#<alt (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))))>
#<alt (/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))>
#<alt (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 x (PI.f32))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (PI.f32) tau)>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))>
#<alt (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))>
#<alt (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))>
#<alt (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32))))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))>
#<alt (* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* tau (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (- (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))>
#<alt (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))>
#<alt (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))>
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#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
Calls

126 calls:

TimeVariablePointExpression
3.0ms
tau
@inf
(+ (+ (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* x (* x (* (PI) (* (PI) (* (PI) (PI))))))) (* (PI) (* (PI) (* (* tau tau) -1/6)))) (* (* (PI) (PI)) -1/6))
1.0ms
x
@0
(+ (+ (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* x (* x (* (PI) (* (PI) (* (PI) (PI))))))) (* (PI) (* (PI) (* (* tau tau) -1/6)))) (* (* (PI) (PI)) -1/6))
1.0ms
x
@inf
(+ (+ (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* x (* x (* (PI) (* (PI) (* (PI) (PI))))))) (* (PI) (* (PI) (* (* tau tau) -1/6)))) (* (* (PI) (PI)) -1/6))
1.0ms
tau
@0
(+ (+ (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* x (* x (* (PI) (* (PI) (* (PI) (PI))))))) (* (PI) (* (PI) (* (* tau tau) -1/6)))) (* (* (PI) (PI)) -1/6))
0.0ms
x
@inf
(+ (* (* x x) (+ (+ (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* x (* x (* (PI) (* (PI) (* (PI) (PI))))))) (* (PI) (* (PI) (* (* tau tau) -1/6)))) (* (* (PI) (PI)) -1/6))) 1)

rewrite537.0ms (3.4%)

Memory
1.2MiB live, 468.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 968×lower-*.f64
4 914×lower-*.f32
4 654×lower-fma.f64
4 646×lower-fma.f32
3 762×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054331
0106323
1386295
22876278
08547274
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 894
Calls
Call 1
Inputs
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 tau (PI.f32))
(PI.f32)
(+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
(fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 x (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (neg.f32 tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (neg.f32 tau))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (neg.f32 tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (neg.f32 (*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (neg.f32 tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) (neg.f32 tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) x)) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) #s(literal 2 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) x)) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 2 binary32))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
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simplify670.0ms (4.3%)

Memory
-0.7MiB live, 732.1MiB allocated
Algorithm
1×egg-herbie
Rules
13 534×lower-fma.f64
13 534×lower-fma.f32
8 614×lower-*.f64
8 614×lower-*.f32
2 980×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04358187
114637922
259947685
082177380
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(* tau (* x (* (PI) (sin (* x (PI))))))
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(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* tau (* x (PI)))
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
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1
1
1
1
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1
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1
1
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1
1
1
1
1
1
1
1
1
(* tau (* x (PI)))
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(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* 1/120 (* (pow x 2) (pow (PI) 4)))
(+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))
(+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* x (PI))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1/36
(+ 1/36 (* 1/120 (pow tau 2)))
(+ 1/36 (* 1/120 (pow tau 2)))
(+ 1/36 (* 1/120 (pow tau 2)))
(* 1/120 (pow tau 2))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* 1/120 (pow tau 2))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* -1/6 (pow tau 2))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (*.f32 (*.f32 x x) tau)))
(* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))
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(* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (neg.f32 (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (neg.f32 (*.f32 (PI.f32) (PI.f32))))))
(* (pow x 2) (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))) (* tau (pow (PI) 2))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(*.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 tau))
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(* tau (- (* (pow tau 2) (- (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal -1/120 binary32))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x)))))
(* tau (- (* (pow tau 2) (- (* (pow tau 2) (- (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 tau tau) #s(literal 1/5040 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) #s(literal -1/120 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
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(sin (* tau (* x (PI))))
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(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)))) (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
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(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
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(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
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(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
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(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(fma.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 x x) (+.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (/.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* 1/120 (* (pow x 2) (pow (PI) 4)))
(*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))
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(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
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(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* -1/6 (* (pow tau 2) (pow (PI) 2)))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
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1
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1/36
#s(literal 1/36 binary32)
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(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))

eval384.0ms (2.5%)

Memory
-26.7MiB live, 655.8MiB allocated
Compiler

Compiled 90 693 to 7 453 computations (91.8% saved)

prune372.0ms (2.4%)

Memory
-8.9MiB live, 878.0MiB allocated
Pruning

58 alts after pruning (55 fresh and 3 done)

PrunedKeptTotal
New2 514282 542
Fresh182745
Picked325
Done112
Total2 536582 594
Accuracy
100.0%
Counts
2 594 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
88.0%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
88.1%
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
▶88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
87.3%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
83.7%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
▶71.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
87.5%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) x)
97.5%
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
88.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
▶97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
72.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
87.3%
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
81.0%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
72.2%
(/.f32 (*.f32 x (/.f32 #s(literal -1 binary32) x)) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
64.8%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
72.0%
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
✓72.0%
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
70.7%
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
97.0%
(/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
▶80.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
72.3%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
97.5%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))
✓98.1%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
87.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
88.1%
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
13.7%
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
97.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
87.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
72.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
72.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 x (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓64.9%
#s(literal 1 binary32)
Compiler

Compiled 3 600 to 1 865 computations (48.2% saved)

simplify420.0ms (2.7%)

Memory
22.6MiB live, 744.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
✓cost-diff320
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
✓cost-diff320
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
✓cost-diff0
(*.f32 (*.f32 x x) tau)
✓cost-diff0
(*.f32 tau (*.f32 (*.f32 x x) tau))
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau)))
✓cost-diff0
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
✓cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
Rules
12 078×lower-fma.f64
12 064×lower-fma.f32
7 458×lower-*.f64
7 414×lower-*.f32
7 048×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042471
084451
1192443
2563439
32237437
44643437
54990437
65050437
75109437
85133437
95157437
105438437
115438437
09144431
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau)))
#s(literal -1/6 binary32)
(*.f32 tau (*.f32 (*.f32 x x) tau))
tau
(*.f32 (*.f32 x x) tau)
(*.f32 x x)
x
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 tau tau)
tau
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) #s(literal -1/6 binary32))
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 x x)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))
(*.f32 tau tau)
tau
#s(literal 1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau)))
(*.f32 tau (*.f32 tau (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))
#s(literal -1/6 binary32)
(*.f32 tau (*.f32 (*.f32 x x) tau))
(*.f32 x (*.f32 x (*.f32 tau tau)))
tau
(*.f32 (*.f32 x x) tau)
(*.f32 x (*.f32 x tau))
(*.f32 x x)
x
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal 1 binary32)
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 x x))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 x x))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))
(*.f32 tau tau)
tau
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 x x))) #s(literal -1/6 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))
(fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) #s(literal -1/6 binary32))
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) #s(literal 1/6 binary32)) (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
x
(PI.f32)
(*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32)))
(*.f32 x (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) #s(literal 1/6 binary32)) (PI.f32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) #s(literal 1/6 binary32)) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))
(*.f32 x x)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))
(*.f32 tau (*.f32 tau #s(literal 1/6 binary32)))
(*.f32 tau tau)
tau
#s(literal 1/6 binary32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (PI.f32) x))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)

localize262.0ms (1.7%)

Memory
-23.8MiB live, 373.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy99.1%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))
✓accuracy98.7%
(*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.6%
(fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.2%
(*.f32 tau (*.f32 (*.f32 x x) tau))
✓accuracy99.2%
(*.f32 (*.f32 x x) tau)
✓accuracy98.7%
(*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
Samples
115.0ms256×0valid
Compiler

Compiled 494 to 51 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 55.0ms (63.2% of total)
const: 12.0ms (13.8% of total)
ival-add: 8.0ms (9.2% of total)
ival-sin: 6.0ms (6.9% of total)
ival-div: 4.0ms (4.6% of total)
ival-pi: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series36.0ms (0.2%)

Memory
18.1MiB live, 56.6MiB allocated
Counts
25 → 444
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))>
#<alt (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau)))>
#<alt (*.f32 tau (*.f32 (*.f32 x x) tau))>
#<alt (*.f32 (*.f32 x x) tau)>
#<alt (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))>
#<alt (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))>
#<alt (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))>
#<alt (*.f32 x x)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (PI.f32)>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))>
#<alt (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))>
#<alt (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))>
#<alt (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (/ 1 (pow tau 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow x 2)))>
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#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (* 1/6 (pow tau 2))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))>
#<alt (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))>
Calls

111 calls:

TimeVariablePointExpression
9.0ms
x
@-inf
(/ (sin (* (PI) (* x tau))) (* x (* (PI) (* (PI) (* x tau)))))
1.0ms
x
@inf
(/ (sin (* x (PI))) (* x (+ (* (* (* x x) (* (PI) (* (PI) (PI)))) (* (* tau tau) 1/6)) (PI))))
1.0ms
tau
@inf
(/ (sin (* x (PI))) (* x (+ (* (* (* x x) (* (PI) (* (PI) (PI)))) (* (* tau tau) 1/6)) (PI))))
1.0ms
x
@0
(/ (sin (* x (PI))) (* x (+ (* (* (* x x) (* (PI) (* (PI) (PI)))) (* (* tau tau) 1/6)) (PI))))
1.0ms
x
@-inf
(/ (sin (* x (PI))) (* x (+ (* (* (* x x) (* (PI) (* (PI) (PI)))) (* (* tau tau) 1/6)) (PI))))

rewrite769.0ms (4.9%)

Memory
18.3MiB live, 768.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
8 008×lower-fma.f64
7 994×lower-fma.f32
6 442×lower-*.f64
6 398×lower-*.f32
3 704×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042305
084293
1318285
22413269
09361265
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
25 → 1 083
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau)))
(*.f32 tau (*.f32 (*.f32 x x) tau))
(*.f32 (*.f32 x x) tau)
(fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 x x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(PI.f32)
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))
(*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(-.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) x))) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
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simplify1.2s (7.5%)

Memory
8.8MiB live, 677.6MiB allocated
Algorithm
1×egg-herbie
Rules
14 186×lower-fma.f64
14 186×lower-fma.f32
8 218×lower-*.f64
8 218×lower-*.f32
2 478×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05118137
116457881
262767776
081257387
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
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1
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1
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(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
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(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
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(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (* (pow x 2) (pow (PI) 4))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* -1/6 (pow (PI) 2))
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(+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* (pow x 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (- (* 1/120 (pow (PI) 4)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))
(+ 1 (* (pow x 2) (- (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 4)) (* (pow x 2) (- (* -1/5040 (pow (PI) 6)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* 1/120 (pow (PI) 4)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))))))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))
(* 6 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))
(/ (+ (* -36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))) (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3))))) (pow x 3))
(/ (- (+ (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3)))) (* 216 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 4) (pow (PI) 7)))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5)))))) (pow x 3))
(/ (- (+ (* -1296 (/ (sin (* x (PI))) (* (pow tau 8) (* (pow x 6) (pow (PI) 9))))) (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3))))) (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 4) (pow (PI) 7))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))) (pow x 3))
(* 6 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))
(* -1 (/ (+ (* -6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3)))) (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5)))))) (pow x 3)))
(* -1 (/ (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 4) (pow (PI) 7))))) (+ (* -6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3)))) (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))) (pow x 3)))
(* -1 (/ (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 4) (pow (PI) 7))))) (+ (* -6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3)))) (+ (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))) (* 1296 (/ (sin (* x (PI))) (* (pow tau 8) (* (pow x 6) (pow (PI) 9)))))))) (pow x 3)))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (- (* 1/36 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1/216 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* -1/36 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))) (* 1/6 (* x (* (PI) (sin (* x (PI)))))))) (/ (sin (* x (PI))) (* x (PI))))
(* 6 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))
(/ (+ (* -36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))) (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3))))) (pow tau 2))
(/ (- (+ (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3)))) (* 216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7)))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))) (pow tau 2))
(/ (- (+ (* -1296 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 9) (pow (PI) 9))))) (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3))))) (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))) (pow tau 2))
(* 6 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))
(/ (+ (* -36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))) (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3))))) (pow tau 2))
(/ (- (+ (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3)))) (* 216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7)))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))) (pow tau 2))
(/ (- (+ (* -1296 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 9) (pow (PI) 9))))) (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3))))) (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))) (pow tau 2))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
1/36
(+ 1/36 (* 1/120 (pow tau 2)))
(+ 1/36 (* 1/120 (pow tau 2)))
(+ 1/36 (* 1/120 (pow tau 2)))
(* 1/120 (pow tau 2))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* 1/120 (pow tau 2))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(* 1/6 (pow tau 2))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* 1/6 (* (pow tau 2) (pow (PI) 3))) (/ (PI) (pow x 2))))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/720 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/720 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 tau (*.f32 tau (pow.f32 x #s(literal 5 binary32))))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 tau #s(literal 1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) tau)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
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(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
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(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* tau (* x (PI)))
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
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(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
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(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
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(* tau (* x (PI)))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
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(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
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(sin (* tau (* x (PI))))
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(* tau (* x (PI)))
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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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(+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))
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(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
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(* (pow x 4) (+ (* -1/6 (/ (* (pow tau 2) (pow (PI) 2)) (pow x 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow x 2))) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))))
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(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
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(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
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(pow x 2)
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(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))
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(+ 1 (* (pow x 2) (- (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (- (* 1/120 (pow (PI) 4)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (- (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 4)) (* (pow x 2) (- (* -1/5040 (pow (PI) 6)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* 1/120 (pow (PI) 4)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))))))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(* 6 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))
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(/ (+ (* -36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))) (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3))))) (pow x 3))
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(/ (- (+ (* -1296 (/ (sin (* x (PI))) (* (pow tau 8) (* (pow x 6) (pow (PI) 9))))) (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3))))) (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 4) (pow (PI) 7))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))) (pow x 3))
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(*.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(*.f32 (*.f32 tau tau) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (/.f32 (PI.f32) (*.f32 tau tau))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(*.f32 (*.f32 tau tau) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (/.f32 (PI.f32) (*.f32 tau tau))))
(* (pow tau 2) (+ (* 1/6 (* (pow x 2) (pow (PI) 3))) (/ (PI) (pow tau 2))))
(*.f32 (*.f32 tau tau) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (/.f32 (PI.f32) (*.f32 tau tau))))

eval355.0ms (2.3%)

Memory
11.8MiB live, 796.1MiB allocated
Compiler

Compiled 105 733 to 6 781 computations (93.6% saved)

prune430.0ms (2.7%)

Memory
-21.9MiB live, 1 187.5MiB allocated
Pruning

75 alts after pruning (72 fresh and 3 done)

PrunedKeptTotal
New2 857352 892
Fresh133750
Picked325
Done213
Total2 875752 950
Accuracy
100.0%
Counts
2 950 → 75
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
87.2%
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
88.0%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
71.9%
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) (*.f32 x (*.f32 x tau)) (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
71.9%
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (-.f32 (/.f32 (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1/1296 binary32) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32)))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
83.7%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
87.3%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
83.7%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal 1 binary32))
✓71.9%
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) x)
71.8%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
88.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
87.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
72.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
94.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
87.3%
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
81.0%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
81.0%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
72.2%
(/.f32 (*.f32 x (/.f32 #s(literal -1 binary32) x)) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
64.8%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
72.0%
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
70.7%
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
16.7%
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))))
✓80.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
72.3%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
97.5%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau))
87.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
88.1%
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
71.9%
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
88.1%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
13.7%
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
87.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))) (sin.f32 (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) x)))) (sin.f32 (*.f32 x (PI.f32))))
87.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
96.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (exp.f32 (log.f32 (PI.f32))))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) tau)) (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
97.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
87.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
72.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
72.2%
(*.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 x (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
4.1%
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
✓64.9%
#s(literal 1 binary32)
Compiler

Compiled 5 764 to 1 752 computations (69.6% saved)

regimes148.0ms (0.9%)

Memory
26.5MiB live, 344.4MiB allocated
Counts
128 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) (*.f32 x (*.f32 x tau)) (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
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(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) tau) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (*.f32 (PI.f32) (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) x)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x tau))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))))) #s(literal 2 binary32))
(/.f32 (-.f32 (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))))
(*.f32 (pow.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1/2 binary32)) #s(literal 2 binary32)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (exp.f32 (log.f32 (PI.f32))))))
(/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (*.f32 (*.f32 (PI.f32) tau) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

37.0ms
x
36.0ms
tau
35.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
35.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1tau
98.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes123.0ms (0.8%)

Memory
-19.1MiB live, 298.7MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
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(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
Outputs
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

4 calls:

30.0ms
x
30.0ms
tau
29.0ms
(*.f32 x (PI.f32))
28.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
98.1%1x
98.1%1tau
98.1%1(*.f32 x (PI.f32))
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes110.0ms (0.7%)

Memory
23.7MiB live, 259.3MiB allocated
Counts
94 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) (*.f32 x (*.f32 x tau)) (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
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(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (-.f32 (/.f32 (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1/1296 binary32) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32)))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 x (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (/.f32 #s(literal -1 binary32) x)) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) x)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
Calls

4 calls:

27.0ms
tau
27.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
26.0ms
x
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.9%1x
97.9%1tau
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes113.0ms (0.7%)

Memory
-24.4MiB live, 232.2MiB allocated
Counts
92 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
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(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) x)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) x) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) x) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
Calls

4 calls:

27.0ms
tau
26.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
25.0ms
(*.f32 x (PI.f32))
25.0ms
x
Results
AccuracySegmentsBranch
97.8%1x
97.8%1tau
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes161.0ms (1%)

Memory
14.2MiB live, 170.8MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
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(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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(fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (-.f32 (/.f32 (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1/1296 binary32) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32)))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 x (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (/.f32 #s(literal -1 binary32) x)) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Calls

4 calls:

87.0ms
x
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
23.0ms
(*.f32 x (PI.f32))
22.0ms
tau
Results
AccuracySegmentsBranch
97.7%1x
97.7%1tau
97.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes119.0ms (0.8%)

Memory
-7.6MiB live, 107.9MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
Calls

4 calls:

35.0ms
x
34.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
22.0ms
tau
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1tau
97.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes133.0ms (0.9%)

Memory
-11.1MiB live, 150.6MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
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(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) (*.f32 x (*.f32 x tau)) (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (-.f32 (/.f32 (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1/1296 binary32) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32)))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 x (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (/.f32 #s(literal -1 binary32) x)) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
Calls

4 calls:

52.0ms
x
32.0ms
(*.f32 x (PI.f32))
23.0ms
tau
23.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.2%1x
97.2%1tau
97.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes144.0ms (0.9%)

Memory
-7.4MiB live, 105.8MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
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(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32)))))
(fma.f32 (fma.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)) (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 x x)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (/.f32 (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (-.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (*.f32 tau (*.f32 tau tau)))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))) #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

37.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms
tau
21.0ms
x
21.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
88.3%1x
88.3%1tau
88.3%1(*.f32 x (PI.f32))
88.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes98.0ms (0.6%)

Memory
38.8MiB live, 79.5MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x))) (fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) (*.f32 x (*.f32 x tau)) (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
(fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 x x)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (/.f32 (fma.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/1296 binary32)) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (-.f32 (/.f32 (*.f32 #s(literal 1/14400 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1/1296 binary32) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal -1/36 binary32)))) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal -1 binary32) x) (*.f32 (/.f32 x (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
Calls

4 calls:

16.0ms
tau
16.0ms
x
16.0ms
(*.f32 x (PI.f32))
15.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
88.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.1%1x
88.1%1tau
88.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes43.0ms (0.3%)

Memory
-28.8MiB live, 46.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x)) #s(literal 1 binary32))
Outputs
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
Calls

4 calls:

13.0ms
tau
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
x
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
88.1%1tau
88.1%1x
88.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes37.0ms (0.2%)

Memory
5.6MiB live, 43.2MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

11.0ms
tau
8.0ms
(*.f32 x (PI.f32))
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
x
Results
AccuracySegmentsBranch
88.1%1tau
88.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.1%1x
88.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes59.0ms (0.4%)

Memory
-3.4MiB live, 36.7MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
Calls

4 calls:

38.0ms
tau
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
Results
AccuracySegmentsBranch
83.1%1tau
83.1%1x
83.1%1(*.f32 x (PI.f32))
83.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes46.0ms (0.3%)

Memory
-1.8MiB live, 35.9MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
Outputs
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Calls

4 calls:

25.0ms
tau
7.0ms
(*.f32 x (PI.f32))
6.0ms
x
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
82.0%1tau
82.0%1x
82.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.0%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes21.0ms (0.1%)

Memory
27.9MiB live, 27.9MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
Outputs
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
Calls

4 calls:

5.0ms
tau
5.0ms
(*.f32 x (PI.f32))
5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms
x
Results
AccuracySegmentsBranch
82.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.0%1x
82.0%1tau
82.0%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes44.0ms (0.3%)

Memory
-14.5MiB live, 23.7MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 x x)) tau) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
Calls

4 calls:

31.0ms
x
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
71.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.9%1tau
71.9%1x
71.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes12.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x tau) (*.f32 x tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 (*.f32 x tau) tau)) (PI.f32))) (PI.f32) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
Calls

4 calls:

3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
(*.f32 x (PI.f32))
3.0ms
tau
3.0ms
x
Results
AccuracySegmentsBranch
71.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.9%1tau
71.9%1x
71.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes33.0ms (0.2%)

Memory
-24.0MiB live, 14.2MiB allocated
Accuracy

Total -19.7b remaining (-175.4%)

Threshold costs -19.7b (-175.4%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
#s(literal 1 binary32)
Calls

4 calls:

27.0ms
tau
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
64.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.9%1tau
64.9%1x
64.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify90.0ms (0.6%)

Memory
17.5MiB live, 57.3MiB allocated
Algorithm
1×egg-herbie
Rules
900×distribute-lft-neg-in_binary32
516×neg-mul-1_binary32
508×neg-sub0_binary32
396×distribute-lft-neg-out_binary32
374×cancel-sign-sub_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0105390
1182390
2206388
3236388
4291388
5385388
6566388
71030388
81572388
92036388
102405388
112628388
122682388
132699388
142702388
152702388
162743388
172782388
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) x) x #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 tau (*.f32 tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (*.f32 x x) tau))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 x x)))) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
#s(literal 1 binary32)

soundness2.9s (18.4%)

Memory
-27.5MiB live, 1 403.6MiB allocated
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
15 126×lower-fma.f64
15 126×lower-fma.f32
14 186×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054331
0106323
1386295
22876278
08547274
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
04358187
114637922
259947685
082177380
04686888
116036656
262366464
081176186
05118137
116457881
262767776
081257387
040269
078259
1306251
22424243
08111241
01055
01855
16355
248353
3648553
0811453
042305
084293
1318285
22413269
09361265
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 593 to 230 computations (61.2% saved)

preprocess171.0ms (1.1%)

Memory
-6.7MiB live, 361.5MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 2 298 to 852 computations (62.9% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...