Lanczos kernel

Time bar (total: 14.9s)

analyze23.0ms (0.2%)

Memory
-2.0MiB live, 42.0MiB 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)

sample1.8s (11.8%)

Memory
-0.6MiB live, 2 113.9MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-mult: 312.0ms (28.1% of total)
ival-sin: 293.0ms (26.4% of total)
ival-div: 224.0ms (20.2% of total)
const: 135.0ms (12.2% of total)
ival-<=: 77.0ms (6.9% of total)
ival-pi: 38.0ms (3.4% of total)
ival-and: 20.0ms (1.8% of total)
exact: 8.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess88.0ms (0.6%)

Memory
-7.0MiB live, 69.6MiB 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)

explain176.0ms (1.2%)

Memory
17.3MiB live, 219.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-5(0.4862305521965027 4.100133895874023)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
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-(*.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 -
+05
-0251
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+023
-00251
Precision?
1.0
Recall?
0.4
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
45.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-sin: 13.0ms (41.9% of total)
ival-mult: 9.0ms (29% of total)
ival-div: 6.0ms (19.3% of total)
ival-pi: 2.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.6%
(*.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)

simplify38.0ms (0.3%)

Memory
-4.7MiB live, 34.6MiB 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)))

localize73.0ms (0.5%)

Memory
9.0MiB live, 48.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(sin.f32 (*.f32 x (PI.f32)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.5%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Samples
23.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 7.0ms (46.7% of total)
ival-mult: 4.0ms (26.7% of total)
ival-div: 3.0ms (20% of total)
ival-pi: 1.0ms (6.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
2.4MiB live, 41.1MiB 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 (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>
#<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) (* -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)))>
Calls

30 calls:

TimeVariablePointExpression
15.0ms
x
@-inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
4.0ms
x
@0
(/ (sin (* x (PI))) (* x (PI)))
3.0ms
tau
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms
tau
@-inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms
x
@0
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite419.0ms (2.8%)

Memory
-28.9MiB live, 413.2MiB 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
01056
01856
16356
248354
3648554
0811454
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 639
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)))
(sin.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))))))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) 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 (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.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 (sin.f32 (*.f32 x (PI.f32)))))
(neg.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(-.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(-.f32 (*.f32 (sin.f32 #s(literal 0 binary32)) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (cos.f32 #s(literal 0 binary32)) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))

simplify1.4s (9.6%)

Memory
14.1MiB live, 708.3MiB allocated
Algorithm
1×egg-herbie
Rules
18 342×lower-fma.f64
18 342×lower-fma.f32
7 260×lower-+.f64
7 260×lower-+.f32
6 594×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02131650
16881630
226421606
344961606
452301606
559211606
663111606
763421606
863421606
093201548
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) (* -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)))
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 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #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 (*.f32 x 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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #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 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) 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 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) 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 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) 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 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) 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 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) 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 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))

eval162.0ms (1.1%)

Memory
-30.0MiB live, 124.2MiB allocated
Compiler

Compiled 19 720 to 1 864 computations (90.5% saved)

prune235.0ms (1.6%)

Memory
25.6MiB live, 315.3MiB allocated
Pruning

39 alts after pruning (38 fresh and 1 done)

PrunedKeptTotal
New79138829
Fresh000
Picked011
Done000
Total79139830
Accuracy
99.4%
Counts
830 → 39
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(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))
80.5%
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
96.8%
(/.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)))))
▶69.9%
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
96.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
69.9%
(/.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))
96.7%
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) tau)
▶97.4%
(/.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)))
97.0%
(/.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)))))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
96.8%
(/.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)))))
61.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
76.3%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) x) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
75.7%
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.8%
(*.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)))
94.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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))))
95.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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)))))
▶97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
✓97.6%
(*.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))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))))
97.2%
(*.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)))
68.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
96.8%
(*.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))))
▶96.8%
(*.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))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
96.9%
(*.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)))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
▶60.3%
#s(literal 1 binary32)
Compiler

Compiled 1 901 to 1 036 computations (45.5% saved)

simplify265.0ms (1.8%)

Memory
4.7MiB live, 474.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
✓cost-diff0
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
✓cost-diff0
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓cost-diff0
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 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)))
✓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 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff0
(*.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))))
✓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 x (PI.f32))) x) (PI.f32))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
Rules
3 452×lower-/.f64
3 438×lower-/.f32
3 394×lower-*.f64
3 368×lower-*.f32
2 614×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033335
062335
1124335
2312335
31166335
42713335
54561335
66770335
08068335
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(*.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 (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(/.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))
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
x
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
#s(literal 2 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin.f32 (*.f32 x (PI.f32)))
#s(literal 1 binary32)
(*.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 (PI.f32))) (/.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 (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(/.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 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (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))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.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))
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) #s(literal 2 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 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
x
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) #s(literal 2 binary32))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
#s(literal 2 binary32)

localize139.0ms (0.9%)

Memory
8.3MiB live, 288.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy97.6%
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
✓accuracy71.7%
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓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)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.5%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.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))))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.5%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy99.1%
(sin.f32 (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.5%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Samples
95.0ms256×0valid
Compiler

Compiled 342 to 35 computations (89.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 58.0ms
ival-mult: 20.0ms (34.6% of total)
ival-sin: 14.0ms (24.2% of total)
ival-div: 13.0ms (22.5% of total)
ival-cos: 6.0ms (10.4% of total)
ival-sub: 2.0ms (3.5% of total)
ival-pi: 1.0ms (1.7% of total)
ival-add: 1.0ms (1.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series75.0ms (0.5%)

Memory
-7.8MiB live, 229.4MiB allocated
Counts
19 → 396
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))>
#<alt (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (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))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<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 (/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))>
#<alt (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))>
#<alt (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))>
#<alt (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (-.f32 (*.f32 (PI.f32) tau) (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 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 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 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 (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<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)))))>
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#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<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 (* -1 (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
Calls

99 calls:

TimeVariablePointExpression
8.0ms
x
@inf
(* x (- (* (PI) tau) (PI)))
3.0ms
x
@inf
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* (PI) (* (PI) (* x tau)))) 2))
3.0ms
tau
@inf
(/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (PI)))) (* (PI) (* x tau)))
3.0ms
tau
@inf
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* (PI) (* (PI) (* x tau)))) 2))
2.0ms
tau
@-inf
(* (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* x tau))))) (sin (* (PI) (* x tau))))

rewrite390.0ms (2.6%)

Memory
6.3MiB live, 890.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 700×lower-/.f64
5 686×lower-/.f32
4 228×lower-*.f64
4 202×lower-*.f32
2 514×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
032215
061215
1229215
21792205
08172205
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
19 → 1 642
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.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 (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 (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.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))
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (neg.f32 (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (PI.f32)) tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
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(-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(-.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (PI.f32))))
(-.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 1 binary32)))
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(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) tau)) (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32))))))
(/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32)))
(/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) tau (PI.f32))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) tau)) (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) tau (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (PI.f32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32))) (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32))) (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (PI.f32))) (*.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (PI.f32))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (PI.f32)))))))
(*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
(*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) tau)) (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))))
(*.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))
(*.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) tau (PI.f32)))))
(*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))

simplify406.0ms (2.7%)

Memory
18.1MiB live, 1 198.3MiB allocated
Algorithm
1×egg-herbie
Rules
12 816×lower-fma.f64
12 816×lower-fma.f32
8 378×lower-*.f64
8 378×lower-*.f32
2 610×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05156749
116906572
263676314
084786085
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))))
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)))
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))))
1
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1
(+ 1 (* -1/2 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* -1 (* x (PI))))
(+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* -1 (* x (PI)))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (* x (PI)))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* 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 (* -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)))
(* -1 (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(* tau (PI))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (PI))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (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 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (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 #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 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.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)))))) (* (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 x (*.f32 (*.f32 x x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (pow.f32 x #s(literal 5 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(+ 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 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)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(+ 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))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32)))))) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
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(* tau (* 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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(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
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(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 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)))
(* -1 (PI))
(neg.f32 (PI.f32))
(- (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
(- (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
(- (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))

eval218.0ms (1.5%)

Memory
-35.7MiB live, 693.8MiB allocated
Compiler

Compiled 66 356 to 3 508 computations (94.7% saved)

prune252.0ms (1.7%)

Memory
40.8MiB live, 552.7MiB allocated
Pruning

70 alts after pruning (67 fresh and 3 done)

PrunedKeptTotal
New2 323512 374
Fresh171633
Picked325
Done011
Total2 343702 413
Accuracy
99.6%
Counts
2 413 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
70.0%
(fma.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))))
75.5%
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
80.5%
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
75.5%
(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))
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
50.5%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
71.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
66.8%
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (fma.f32 (*.f32 x (PI.f32)) tau (neg.f32 (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) x) (fma.f32 (PI.f32) tau (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.7%
(/.f32 (-.f32 (cos.f32 (+.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
▶70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.8%
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32))))) #s(literal 2 binary32)))
✓69.9%
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
32.4%
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
▶97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
69.9%
(/.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))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
81.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) tau)
96.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau)))
97.0%
(/.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)))))
68.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
74.4%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
60.0%
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
60.2%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
61.2%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
60.0%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
61.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
74.4%
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))))
76.1%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
▶76.3%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
81.2%
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
70.0%
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))))
81.0%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.1%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
81.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
94.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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))))
81.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
68.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
✓97.6%
(*.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))))
68.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
96.8%
(*.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))))
▶96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
96.9%
(*.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)))))
68.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
71.4%
(*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
96.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.7%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
96.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
61.2%
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
70.0%
(*.f32 #s(literal 1/2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
✓60.3%
#s(literal 1 binary32)
▶6.3%
#s(literal 0 binary32)
Compiler

Compiled 3 894 to 2 137 computations (45.1% saved)

simplify199.0ms (1.3%)

Memory
-30.4MiB live, 340.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)
✓cost-diff0
(cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x))
✓cost-diff0
(-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓cost-diff0
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓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 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff0
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
✓cost-diff0
(*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
✓cost-diff0
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
✓cost-diff0
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
Rules
4 608×lower-*.f64
4 568×lower-*.f32
3 616×lower-/.f64
3 606×lower-/.f32
2 624×lower-fma.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043357
081357
1166357
2438357
31683357
43677357
56634357
08217357
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 0 binary32)
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
tau
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 x x)
x
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x))
(*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)
(fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))
(PI.f32)
tau
(neg.f32 (PI.f32))
x
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
#s(literal 2 binary32)
Outputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (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 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 x (PI.f32)))
(*.f32 x (PI.f32))
#s(literal 0 binary32)
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (*.f32 x #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau)))
tau
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(*.f32 x x)
x
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.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))
(*.f32 x tau)
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x))
(cos.f32 (*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x))))
(*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)
(*.f32 (PI.f32) (fma.f32 x tau (neg.f32 x)))
(fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))
(PI.f32)
tau
(neg.f32 (PI.f32))
x
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
#s(literal 2 binary32)

localize139.0ms (0.9%)

Memory
16.4MiB live, 216.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy71.7%
(-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.5%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.0%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.5%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Samples
87.0ms256×0valid
Compiler

Compiled 371 to 46 computations (87.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 32.0ms (46.8% of total)
ival-sin: 11.0ms (16.1% of total)
ival-div: 7.0ms (10.2% of total)
ival-cos: 6.0ms (8.8% of total)
ival-add: 5.0ms (7.3% of total)
const: 4.0ms (5.9% of total)
ival-pi: 1.0ms (1.5% of total)
ival-sub: 1.0ms (1.5% of total)
ival-neg: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series64.0ms (0.4%)

Memory
-3.8MiB live, 112.3MiB allocated
Counts
24 → 456
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))>
#<alt (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))>
#<alt (*.f32 tau (*.f32 (PI.f32) (PI.f32)))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))>
#<alt (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))>
#<alt (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x))>
#<alt (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)>
#<alt (*.f32 (PI.f32) tau)>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 (*.f32 x x) #s(literal -1/6 binary32))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (PI.f32) (*.f32 x (PI.f32)))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x 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 (* x (PI))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (sin (* x (PI)))>
#<alt (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))>
#<alt (+ (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 (+ (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)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<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 (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* 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 (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 (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (* -1/5040 (pow (PI) 6)))))))))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* x (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow x 2) (PI)))))>
#<alt (* x (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow x 2) (PI)))))>
#<alt (* x (+ (* -1/6 (* (pow tau 2) (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow x 2) (PI)))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* x (PI))) (* (pow x 2) (PI)))) (* 1/6 (* (pow tau 2) (* (PI) (sin (* x (PI)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* x (PI))) (* (pow x 2) (PI)))) (* 1/6 (* (pow tau 2) (* (PI) (sin (* x (PI)))))))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* x (PI))) (* (pow x 2) (PI)))) (* 1/6 (* (pow tau 2) (* (PI) (sin (* 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 (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 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) (+ (* 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))))>
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#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
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#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
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#<alt (sin (* x (PI)))>
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#<alt (* x (PI))>
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#<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 (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (/ (+ (* 1/2 (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau)>
#<alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau)>
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#<alt (+ (* 1/2 (* (pow x 2) (- (* 1/24 (/ (pow (- (* tau (PI)) (PI)) 4) (* tau (pow (PI) 2)))) (* 1/24 (/ (pow (+ (PI) (* tau (PI))) 4) (* tau (pow (PI) 2))))))) (* 1/2 (/ (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))) (* tau (pow (PI) 2)))))>
#<alt (+ (* 1/2 (/ (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))) (* tau (pow (PI) 2)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (/ (pow (- (* tau (PI)) (PI)) 6) (* tau (pow (PI) 2)))) (* -1/720 (/ (pow (+ (PI) (* tau (PI))) 6) (* tau (pow (PI) 2))))))) (* 1/2 (- (* 1/24 (/ (pow (- (* tau (PI)) (PI)) 4) (* tau (pow (PI) 2)))) (* 1/24 (/ (pow (+ (PI) (* tau (PI))) 4) (* tau (pow (PI) 2)))))))))>
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#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
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#<alt 1>
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#<alt 1>
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#<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)))))))))>
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#<alt (* x (pow (PI) 2))>
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#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* 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 (* tau (* x (pow (PI) 2)))>
Calls

114 calls:

TimeVariablePointExpression
3.0ms
tau
@0
(/ (* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (PI)))) (* x (PI)))
2.0ms
tau
@inf
(* tau (* tau (* (PI) (PI))))
2.0ms
x
@inf
(* (+ (* (* tau (* tau (* (PI) (PI)))) (* (* x x) -1/6)) 1) (/ (sin (* x (PI))) (* x (PI))))
2.0ms
x
@-inf
(* (+ (* (* tau (* tau (* (PI) (PI)))) (* (* x x) -1/6)) 1) (/ (sin (* x (PI))) (* x (PI))))
1.0ms
x
@inf
(* (+ (* (PI) tau) (neg (PI))) x)

rewrite470.0ms (3.2%)

Memory
-17.8MiB live, 413.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 096×lower-/.f64
5 086×lower-/.f32
4 314×lower-fma.f64
4 308×lower-fma.f32
3 862×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042248
080248
1268242
21924232
08354230
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
24 → 989
Calls
Call 1
Inputs
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x))
(*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)
(*.f32 (PI.f32) tau)
(*.f32 (PI.f32) (PI.f32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x))) (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (neg.f32 (PI.f32)))) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (neg.f32 (PI.f32)))) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 x (PI.f32))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 x (neg.f32 (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x)) (PI.f32)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (neg.f32 (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 x)) (*.f32 x (PI.f32))))
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(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (neg.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (PI.f32))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (PI.f32))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (neg.f32 (PI.f32)))
(/.f32 (*.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) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) (neg.f32 (neg.f32 (*.f32 x (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.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 (neg.f32 (PI.f32)))))
(*.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))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) x)
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify733.0ms (4.9%)

Memory
38.9MiB live, 507.7MiB allocated
Algorithm
1×egg-herbie
Rules
12 496×lower-fma.f64
12 496×lower-fma.f32
8 250×lower-*.f64
8 250×lower-*.f32
2 296×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05387091
117556930
267066746
082406493
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
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))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (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))))))))))
(+ (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)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
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)))
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(cos (* x (- (* tau (PI)) (PI))))
1
(+ 1 (* -1/2 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(* -1 (* x (PI)))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (* x (PI)))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (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))
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)))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 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)))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* 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)))
(* tau (* x (pow (PI) 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 (*.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) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.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 (*.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 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 x (*.f32 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (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))
(/ (* (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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) (/.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 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)))) (/.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 x (*.f32 (*.f32 x x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 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 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x 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 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32)))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32)))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 7 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 7 binary32)) (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 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (sin.f32 (*.f32 x (PI.f32))))
(+ (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))))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))) (sin.f32 (*.f32 x (PI.f32))))
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(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (PI.f32))))
(* 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))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 tau (PI.f32))))
(* 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)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 7 binary32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (PI.f32))))
(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))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(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))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(* 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))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 tau (*.f32 tau (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 x (PI.f32))))
(* 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)))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau (*.f32 tau (pow.f32 (PI.f32) #s(literal 7 binary32)))) (pow.f32 x #s(literal 7 binary32))))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(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))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(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))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))

eval381.0ms (2.6%)

Memory
-4.9MiB live, 297.5MiB allocated
Compiler

Compiled 51 136 to 3 269 computations (93.6% saved)

prune333.0ms (2.2%)

Memory
1.2MiB live, 523.0MiB allocated
Pruning

83 alts after pruning (77 fresh and 6 done)

PrunedKeptTotal
New1 598291 627
Fresh144862
Picked235
Done033
Total1 614831 697
Accuracy
99.7%
Counts
1 697 → 83
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
80.5%
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
75.5%
(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))
67.9%
(fma.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))))))
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
50.5%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
71.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
66.8%
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (fma.f32 (*.f32 x (PI.f32)) tau (*.f32 x (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
▶69.8%
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (/.f32 (*.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))) x) (fma.f32 (PI.f32) tau (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32))))) #s(literal 2 binary32)))
✓70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓69.9%
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
32.4%
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
76.3%
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
81.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
✓97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
69.9%
(/.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))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
81.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) tau)
96.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau)))
97.0%
(/.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)))))
68.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x)))
▶97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
74.7%
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
60.0%
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
▶60.2%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
61.2%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
70.0%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
60.1%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
60.0%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
61.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
70.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32))) (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) x)))
68.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32))))) (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
74.4%
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))))
76.2%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
75.7%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
66.4%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
87.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
81.2%
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
70.0%
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))))
80.9%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
81.0%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
▶68.0%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.1%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
81.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
94.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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))))
81.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
✓97.6%
(*.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))))
68.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)))
▶96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
96.9%
(*.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)))))
68.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
71.4%
(*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
96.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
4.8%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
96.7%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
96.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
96.4%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
61.2%
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
✓60.3%
#s(literal 1 binary32)
✓6.3%
#s(literal 0 binary32)
Compiler

Compiled 4 628 to 2 529 computations (45.4% saved)

simplify183.0ms (1.2%)

Memory
16.3MiB live, 337.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau))))
✓cost-diff0
(-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓cost-diff0
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓cost-diff160
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))
✓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 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff160
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff480
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
✓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
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff128
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
Rules
5 492×lower-*.f64
5 456×lower-*.f32
3 804×lower-/.f64
3 796×lower-/.f32
2 596×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040394
078396
1180378
2696360
34382360
08480360
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32))))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))
(/.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)
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
tau
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))
(neg.f32 (PI.f32))
(PI.f32)
x
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
#s(literal 2 binary32)
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (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 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.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
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32))))
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (neg.f32 (PI.f32))))))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 (PI.f32))
(/.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)
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.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))
(*.f32 x tau)
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.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 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 x (*.f32 (PI.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 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))))
(-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
(neg.f32 (PI.f32))
(PI.f32)
x
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(fma.f32 (PI.f32) tau (PI.f32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(*.f32 tau (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
#s(literal 2 binary32)

localize184.0ms (1.2%)

Memory
-5.0MiB live, 309.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy97.7%
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy71.7%
(-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
✓accuracy98.5%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.5%
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.5%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy100.0%
(PI.f32)
✓accuracy99.1%
(*.f32 x (*.f32 tau (PI.f32)))
✓accuracy99.0%
(*.f32 tau (PI.f32))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32))))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
✓accuracy98.5%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Samples
110.0ms256×0valid
Compiler

Compiled 405 to 43 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 49.0ms (54.2% of total)
ival-sin: 21.0ms (23.2% of total)
ival-div: 7.0ms (7.7% of total)
ival-cos: 6.0ms (6.6% of total)
ival-add: 2.0ms (2.2% of total)
ival-neg: 2.0ms (2.2% of total)
ival-pi: 1.0ms (1.1% of total)
ival-sub: 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)

series66.0ms (0.4%)

Memory
-3.7MiB live, 152.3MiB allocated
Counts
23 → 480
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))>
#<alt (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (*.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))>
#<alt (*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 x (PI.f32))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))>
#<alt (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))>
#<alt (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32))))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x (PI.f32)))>
#<alt (sin.f32 (*.f32 (*.f32 x (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 (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))>
#<alt (* (pow x 2) (+ (* -1 (* tau (pow (PI) 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 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))>
#<alt (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (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 (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))>
#<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 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))>
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#<alt (* 1/2 (/ (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* (pow x 2) (- (* -1/2 (pow (+ (* -1 (PI)) (* tau (PI))) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (pow (+ (* -1 (PI)) (* tau (PI))) 2)) (* (pow x 2) (- (* 1/24 (pow (+ (* -1 (PI)) (* tau (PI))) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (pow (+ (* -1 (PI)) (* tau (PI))) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (+ (* -1 (PI)) (* tau (PI))) 4)) (* (pow x 2) (- (* -1/720 (pow (+ (* -1 (PI)) (* tau (PI))) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (pow (+ (* -1 (PI)) (* tau (PI))) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (+ (* -1 (PI)) (* tau (PI))) 4)) (* (pow x 2) (- (+ (* -1/720 (pow (+ (* -1 (PI)) (* tau (PI))) 6)) (* (pow x 2) (- (* 1/40320 (pow (+ (* -1 (PI)) (* tau (PI))) 8)) (* 1/40320 (pow (+ (PI) (* tau (PI))) 8))))) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (+ (* -1 (* x (PI))) (* tau (* x (PI))))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (pow (+ (* -1 (PI)) (* tau (PI))) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (pow (+ (* -1 (PI)) (* tau (PI))) 2)) (* 1/24 (* (pow x 2) (pow (+ (* -1 (PI)) (* tau (PI))) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (pow (+ (* -1 (PI)) (* tau (PI))) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (+ (* -1 (PI)) (* tau (PI))) 6))) (* 1/24 (pow (+ (* -1 (PI)) (* tau (PI))) 4)))))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (* -1 (* x (PI))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (cos (+ (* -1 (* x (PI))) (* tau (* x (PI)))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<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 (* 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 (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<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))))>
Calls

120 calls:

TimeVariablePointExpression
3.0ms
tau
@inf
(* (sin (* x (* (PI) tau))) (neg (sin (* x (PI)))))
3.0ms
tau
@-inf
(/ (- (cos (+ (* (neg (PI)) x) (* x (* (PI) tau)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* (PI) (* (PI) (* x tau)))) 2))
2.0ms
tau
@inf
(/ (- (cos (+ (* (neg (PI)) x) (* x (* (PI) tau)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* (PI) (* (PI) (* x tau)))) 2))
2.0ms
x
@inf
(/ (- (cos (+ (* (neg (PI)) x) (* x (* (PI) tau)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* (PI) (* (PI) (* x tau)))) 2))
2.0ms
x
@-inf
(/ (- (cos (+ (* (neg (PI)) x) (* x (* (PI) tau)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* (PI) (* (PI) (* x tau)))) 2))

rewrite668.0ms (4.5%)

Memory
-108.1MiB live, 824.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 794×lower-/.f64
5 786×lower-/.f32
4 592×lower-fma.f64
4 588×lower-fma.f32
4 246×lower-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040240
078235
1284200
22193189
08954189
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
23 → 1 148
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (PI.f32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32))))
(*.f32 (PI.f32) (*.f32 x tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Outputs
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -2 binary32))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.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)))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))))
(pow.f32 (/.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))))) #s(literal -1 binary32))
(fma.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (/.f32 (-.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) (neg.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))))
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(/.f32 #s(literal 1 binary32) (/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))))) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau)))) (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)))))
(/.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))))))
(/.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32))) (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau)))))
(/.f32 (-.f32 (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau))))) (-.f32 (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (fma.f32 (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32) (*.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 3 binary32)))) (neg.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (+.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))))))))
(/.f32 (neg.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)))) (neg.f32 (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau))))))
(/.f32 (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 3 binary32))) (+.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (-.f32 (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))))))
(neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))))
(*.f32 x (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (*.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (*.f32 x tau) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 x (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (neg.f32 (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau))
(*.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (neg.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) tau)
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) tau)
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) x) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))) #s(literal -1 binary32)) (PI.f32))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))

simplify484.0ms (3.3%)

Memory
15.1MiB live, 762.2MiB allocated
Algorithm
1×egg-herbie
Rules
13 474×lower-fma.f64
13 474×lower-fma.f32
8 084×lower-*.f64
8 084×lower-*.f32
2 802×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05076698
116926536
266786352
083186150
Stop Event
1×iter limit
1×node limit
Counts
480 → 480
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 (* tau (* (pow x 2) (pow (PI) 2))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 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 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (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 (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* tau (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (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))))))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI)))))))))))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* 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)))
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(* -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 (* 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)))
(* 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))))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* 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))))
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) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.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 (*.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 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (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))
(/ (* (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 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))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.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)))))) (* (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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (fma.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 (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)))
(/ (* (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)))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
(*.f32 (*.f32 x x) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 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 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (fma.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) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/120 binary32)))) (neg.f32 (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (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 (+ (* 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 (*.f32 x x) (neg.f32 (fma.f32 x (*.f32 x (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/720 binary32)) tau (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (fma.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) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 tau (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/120 binary32)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32))))
(* -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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.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)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* tau (* x (* (PI) (sin (* x (PI)))))))
(*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(*.f32 tau (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (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))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.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 -1/120 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 (neg.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI)))))))))))))
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1
#s(literal 1 binary32)
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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))))))))
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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))))
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(sin (* tau (* x (PI))))
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(sin (* tau (* x (PI))))
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(* 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))))))))
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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))))
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(* x (pow (PI) 2))
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(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32))))
(* 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))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 tau (PI.f32))))
(* 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)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
(* 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))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (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 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(* 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)))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.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 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))

eval283.0ms (1.9%)

Memory
7.7MiB live, 621.7MiB allocated
Compiler

Compiled 91 349 to 6 690 computations (92.7% saved)

prune493.0ms (3.3%)

Memory
14.5MiB live, 916.6MiB allocated
Pruning

118 alts after pruning (112 fresh and 6 done)

PrunedKeptTotal
New2 893592 952
Fresh195372
Picked505
Done066
Total2 9171183 035
Accuracy
99.7%
Counts
3 035 → 118
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
80.5%
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
75.5%
(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))
66.4%
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
67.9%
(fma.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))))))
70.0%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (PI.f32) (*.f32 x tau)) (neg.f32 (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) #s(literal 2 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
69.9%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) #s(literal 2 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
97.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) (*.f32 x tau))
68.1%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
68.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
68.1%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
50.5%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
50.5%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
66.0%
(/.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32))) (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
71.3%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
66.8%
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 2 binary32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 (*.f32 x (PI.f32)) tau))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.7%
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.8%
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (/.f32 (*.f32 x (PI.f32)) x) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.6%
(/.f32 (-.f32 (cos.f32 (fma.f32 (neg.f32 (PI.f32)) x (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
70.0%
(/.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
✓69.9%
(/.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
69.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
32.4%
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
76.3%
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
81.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
✓97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
69.9%
(/.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))
60.3%
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
60.1%
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
81.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) tau)
96.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) (*.f32 x tau)))
68.1%
(/.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)))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.0%
(/.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)))))
68.3%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
96.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
81.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
94.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (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 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (PI.f32)))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x tau)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) x) (*.f32 (PI.f32) tau)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau)))
96.8%
(/.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)))
74.7%
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
60.2%
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
60.2%
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
60.1%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
60.2%
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
61.2%
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
70.0%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
60.0%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
60.0%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
68.3%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
61.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
68.3%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
70.0%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32))) (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) x)))
68.2%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32))))) (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
68.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
74.0%
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))))
76.2%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
75.7%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
66.4%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
87.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.9%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
81.3%
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
81.2%
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.1%
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.1%
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
70.0%
(*.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))))
81.0%
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
80.9%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
81.0%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
67.9%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
66.0%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
65.9%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
60.2%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
68.0%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
67.9%
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
81.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
81.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
✓97.6%
(*.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))))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
95.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32)))) tau)))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
68.2%
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.9%
(*.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)))))
68.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))))
68.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
68.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
71.4%
(*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
96.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
96.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.2%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
68.0%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
4.8%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
96.7%
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
96.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
96.4%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
68.2%
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
68.0%
(*.f32 x (*.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
95.9%
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (fma.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (neg.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (fma.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
✓60.3%
#s(literal 1 binary32)
✓6.3%
#s(literal 0 binary32)
Compiler

Compiled 7 833 to 2 493 computations (68.2% saved)

regimes204.0ms (1.4%)

Memory
16.6MiB live, 359.5MiB allocated
Counts
178 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
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(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32)))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.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 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) x)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(*.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) #s(literal 2 binary32))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (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 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (/.f32 (-.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)) (pow.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) #s(literal 2 binary32))) (cos.f32 (*.f32 x (-.f32 (neg.f32 (PI.f32)) (*.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 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))))
Calls

4 calls:

52.0ms
(*.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))))
48.0ms
(*.f32 x (PI.f32))
48.0ms
x
48.0ms
tau
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%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))))
97.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes160.0ms (1.1%)

Memory
6.6MiB live, 195.2MiB allocated
Counts
113 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (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 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.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 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
(/.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 (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) x) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (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 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
Calls

4 calls:

52.0ms
x
32.0ms
(*.f32 x (PI.f32))
30.0ms
tau
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
97.5%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))))
97.5%1x
97.5%1(*.f32 x (PI.f32))
97.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes144.0ms (1%)

Memory
-16.1MiB live, 199.2MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (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 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.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 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
(/.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 (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) x) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 x tau)) (PI.f32)))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
Calls

4 calls:

30.0ms
tau
29.0ms
x
28.0ms
(*.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
97.5%1x
97.5%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))))
97.5%1(*.f32 x (PI.f32))
97.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes110.0ms (0.7%)

Memory
17.0MiB live, 208.2MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
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(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.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 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
(/.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 (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (neg.f32 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:

28.0ms
x
26.0ms
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))))
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.0%1x
97.0%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))))
97.0%1(*.f32 x (PI.f32))
97.0%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes122.0ms (0.8%)

Memory
45.0MiB live, 239.5MiB allocated
Counts
97 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
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(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (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 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (sin.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 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/.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 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
Calls

4 calls:

39.0ms
(*.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))))
27.0ms
tau
27.0ms
x
25.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.8%1x
96.8%1tau
96.8%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))))
96.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes127.0ms (0.9%)

Memory
-32.7MiB live, 211.2MiB allocated
Counts
89 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
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(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
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(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (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 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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:

38.0ms
x
32.0ms
(*.f32 x (PI.f32))
26.0ms
tau
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))))
Results
AccuracySegmentsBranch
96.8%1x
96.8%1tau
96.8%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))))
96.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes104.0ms (0.7%)

Memory
16.6MiB live, 212.5MiB allocated
Counts
84 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
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(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x 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 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
Calls

4 calls:

30.0ms
tau
24.0ms
(*.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))))
24.0ms
x
24.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.6%1x
96.6%1tau
96.6%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))))
96.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes101.0ms (0.7%)

Memory
13.9MiB live, 209.2MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
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(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
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(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
Outputs
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
Calls

4 calls:

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))))
24.0ms
tau
24.0ms
x
23.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
96.4%1x
96.4%1tau
96.4%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))))
96.4%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes102.0ms (0.7%)

Memory
-19.0MiB live, 175.7MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Outputs
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
Calls

4 calls:

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))))
23.0ms
(*.f32 x (PI.f32))
23.0ms
tau
20.0ms
x
Results
AccuracySegmentsBranch
87.9%1x
87.9%1tau
87.9%1(*.f32 x (PI.f32))
87.9%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))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes121.0ms (0.8%)

Memory
25.0MiB live, 147.8MiB allocated
Counts
79 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.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 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (PI.f32)) x) (PI.f32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.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 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #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))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.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 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.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)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
Calls

4 calls:

52.0ms
tau
24.0ms
x
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))))
20.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
81.8%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))))
81.8%1x
81.8%1tau
81.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes69.0ms (0.5%)

Memory
-10.7MiB live, 108.2MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (PI.f32) (+.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 #s(literal 1 binary32) tau))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 x (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 tau (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.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)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) tau)
(*.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau)))
(/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(*.f32 x (*.f32 (/.f32 (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) (*.f32 x tau))) x) (/.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(*.f32 (/.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 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(/.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)))))
Outputs
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
Calls

4 calls:

18.0ms
(*.f32 x (PI.f32))
17.0ms
(*.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))))
17.0ms
tau
14.0ms
x
Results
AccuracySegmentsBranch
76.2%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))))
76.2%1x
76.2%1(*.f32 x (PI.f32))
76.2%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes53.0ms (0.4%)

Memory
3.0MiB live, 39.3MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (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 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) x)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (neg.f32 tau)) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
Outputs
(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))
Calls

4 calls:

39.0ms
(*.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
(*.f32 x (PI.f32))
4.0ms
x
4.0ms
tau
Results
AccuracySegmentsBranch
75.5%1x
75.5%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))))
75.5%1(*.f32 x (PI.f32))
75.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes12.0ms (0.1%)

Memory
-11.9MiB live, 27.2MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
Calls

4 calls:

4.0ms
x
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
Results
AccuracySegmentsBranch
66.4%1x
66.4%1(*.f32 x (PI.f32))
66.4%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))))
66.4%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes10.0ms (0.1%)

Memory
27.5MiB live, 27.5MiB allocated
Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
Outputs
#s(literal 1 binary32)
Calls

4 calls:

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
2.0ms
tau
Results
AccuracySegmentsBranch
60.3%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))))
60.3%1x
60.3%1tau
60.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes8.0ms (0.1%)

Memory
-29.2MiB live, 15.3MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
Outputs
#s(literal 0 binary32)
Calls

4 calls:

4.0ms
(*.f32 x (PI.f32))
1.0ms
(*.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))))
1.0ms
x
1.0ms
tau
Results
AccuracySegmentsBranch
6.3%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))))
6.3%1x
6.3%1(*.f32 x (PI.f32))
6.3%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify57.0ms (0.4%)

Memory
22.2MiB live, 61.3MiB allocated
Algorithm
1×egg-herbie
Rules
714×distribute-lft-neg-in_binary32
422×neg-mul-1_binary32
414×neg-sub0_binary32
334×cancel-sign-sub_binary32
286×distribute-lft-neg-out_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
078287
1141287
2196285
3274283
4412283
5621283
6927283
71356283
81674283
91927283
102030283
112048283
122050283
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 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
(/.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))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) 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 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (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 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 0 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 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32)))))
(/.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 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.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 (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 (*.f32 x 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 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) x))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 0 binary32)

soundness2.4s (16.1%)

Memory
-52.1MiB live, 1 455.2MiB allocated
Rules
18 342×lower-fma.f64
18 342×lower-fma.f32
13 474×lower-fma.f64
13 474×lower-fma.f32
12 816×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
040240
078235
1284200
22193189
08954189
042248
080248
1268242
21924232
08354230
02131650
16881630
226421606
344961606
452301606
559211606
663111606
763421606
863421606
093201548
05076698
116926536
266786352
083186150
01056
01856
16356
248354
3648554
0811454
032215
061215
1229215
21792205
08172205
05156749
116906572
263676314
084786085
05387091
117556930
267066746
082406493
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×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×iter limit
1×node limit
1×iter limit
Compiler

Compiled 652 to 283 computations (56.6% saved)

preprocess122.0ms (0.8%)

Memory
-21.7MiB live, 262.2MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 812 to 684 computations (62.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...