Lanczos kernel

Time bar (total: 15.0s)

analyze21.0ms (0.1%)

Memory
8.6MiB live, 46.5MiB 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
-129.5MiB live, 3 010.4MiB allocated
Samples
1.4s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 929.0ms
ival-sin: 270.0ms (29.1% of total)
ival-mult: 189.0ms (20.3% of total)
const: 143.0ms (15.4% of total)
ival-div: 129.0ms (13.9% of total)
ival-<=: 129.0ms (13.9% of total)
ival-pi: 37.0ms (4% of total)
ival-and: 21.0ms (2.3% of total)
exact: 8.0ms (0.9% of total)
ival-assert: 4.0ms (0.4% of total)
Bogosity

preprocess140.0ms (0.9%)

Memory
11.9MiB live, 118.6MiB 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)

explain142.0ms (1%)

Memory
-22.0MiB live, 345.6MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9926653504371643 3.2855799198150635)(sin.f32 (*.f32 x (PI.f32)))
10-1(0.2725185453891754 3.6428728103637695)(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-(*.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 -
+04
-0252
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+022
-00252
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
53.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 35.0ms
ival-mult: 12.0ms (34.7% of total)
ival-sin: 12.0ms (34.7% of total)
ival-div: 7.0ms (20.2% of total)
ival-pi: 2.0ms (5.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.9MiB live, 1.9MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.1%
(*.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 23 to 10 computations (56.5% saved)

simplify28.0ms (0.2%)

Memory
6.6MiB live, 44.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

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

localize36.0ms (0.2%)

Memory
7.3MiB live, 85.3MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.9%
(*.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))
Samples
23.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 16.0ms
ival-sin: 6.0ms (38.4% of total)
ival-mult: 5.0ms (32% of total)
ival-div: 3.0ms (19.2% of total)
ival-pi: 1.0ms (6.4% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-26.4MiB live, 53.7MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
Calls

30 calls:

TimeVariablePointExpression
5.0ms
x
@0
(/ (sin (* x (PI))) (* x (PI)))
4.0ms
x
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms
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))))
2.0ms
x
@-inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

simplify451.0ms (3%)

Memory
2.5MiB live, 639.3MiB allocated
Algorithm
1×egg-herbie
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
6 828×lower-+.f64
6 828×lower-+.f32
6 246×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

rewrite317.0ms (2.1%)

Memory
-2.1MiB live, 299.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×lower-*.f64
4 754×lower-*.f32
3 316×lower-/.f64
3 312×lower-/.f32
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

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

eval137.0ms (0.9%)

Memory
16.7MiB live, 170.7MiB allocated
Compiler

Compiled 24 386 to 2 294 computations (90.6% saved)

prune341.0ms (2.3%)

Memory
5.0MiB live, 279.0MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New988251 013
Fresh000
Picked101
Done000
Total989251 014
Accuracy
99.9%
Counts
1 014 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.8%
(/.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)))
97.5%
(/.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))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.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 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
97.3%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
97.2%
(/.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)))))
▶97.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
95.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
95.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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))))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.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))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
▶97.4%
(*.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)))))
97.4%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
82.4%
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
▶65.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 1 226 to 670 computations (45.4% saved)

simplify553.0ms (3.7%)

Memory
-7.3MiB live, 273.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
✓cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
✓cost-diff320
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
✓cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff128
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
✓cost-diff192
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
Rules
5 968×lower-*.f64
5 936×lower-*.f32
5 760×lower-fma.f64
5 750×lower-fma.f32
1 966×lower-neg.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
049510
088512
1203492
2693480
33701480
08212480
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.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)))
(neg.f32 x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
#s(literal 1/120 binary32)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 tau tau)
tau
(fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 (PI.f32) tau)
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))
(/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (neg.f32 (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(neg.f32 x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
(fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 tau (*.f32 tau (*.f32 tau tau)))
(*.f32 tau tau)
tau
(fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 (*.f32 tau tau) #s(literal -1/6 binary32) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 (PI.f32) tau)

localize480.0ms (3.2%)

Memory
-18.6MiB live, 372.9MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
✓accuracy98.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.4%
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy95.0%
(pow.f32 (PI.f32) #s(literal 4 binary32))
✓accuracy87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
✓accuracy65.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
✓accuracy98.8%
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
Samples
260.0ms256×0valid
Compiler

Compiled 487 to 51 computations (89.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 240.0ms
ival-mult: 194.0ms (81% of total)
ival-div: 13.0ms (5.4% of total)
ival-sin: 11.0ms (4.6% of total)
const: 9.0ms (3.8% of total)
ival-add: 5.0ms (2.1% of total)
ival-pow: 4.0ms (1.7% of total)
ival-neg: 2.0ms (0.8% of total)
ival-pi: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series63.0ms (0.4%)

Memory
32.4MiB live, 65.6MiB allocated
Counts
22 → 420
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))>
#<alt (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))>
#<alt (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))>
#<alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))>
#<alt (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))>
#<alt (*.f32 x x)>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (pow.f32 (PI.f32) #s(literal 4 binary32))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (*.f32 tau tau) (*.f32 tau 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 (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))) (* -1 (PI))))>
#<alt (* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (* x (PI))>
#<alt (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* -1 (* x (PI))))>
#<alt (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))>
#<alt (- (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (PI))>
#<alt (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))>
#<alt (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))>
#<alt (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* tau (sin (* x (PI)))) x)>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI))))))))) (/ (sin (* x (PI))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) x)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* 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 (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))>
#<alt (+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
Calls

105 calls:

TimeVariablePointExpression
24.0ms
tau
@0
(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))
8.0ms
x
@inf
(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))
1.0ms
x
@-inf
(neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x)))
1.0ms
x
@inf
(neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x)))
1.0ms
tau
@0
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)

simplify489.0ms (3.3%)

Memory
-14.4MiB live, 981.9MiB allocated
Algorithm
1×egg-herbie
Rules
13 384×lower-fma.f64
13 384×lower-fma.f32
9 052×lower-*.f64
9 052×lower-*.f32
2 916×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04607606
115567322
261937240
083056975
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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 (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))) (* -1 (PI))))
(* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* -1 (* x (PI))))
(- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))
(- (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
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(* tau (PI))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* tau (sin (* x (PI)))) x)
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI))))))))) (/ (sin (* x (PI))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* 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)))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (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 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 #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 (*.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 (*.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 (*.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))))
(/ (* (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (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 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))) (* -1 (PI))))
(*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32)))
(* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) #s(literal 7/360 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (PI.f32)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
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(pow x 2)
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1
#s(literal 1 binary32)
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(* tau (PI))
(*.f32 tau (PI.f32))
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(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI))))))))) (/ (sin (* x (PI))) x)))
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(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))

rewrite409.0ms (2.7%)

Memory
-4.7MiB live, 755.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 664×lower-*.f64
4 632×lower-*.f32
4 316×lower-fma.f64
4 306×lower-fma.f32
3 620×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049324
088318
1354302
22772286
08269282
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 1 201
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
Outputs
(neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x x)))) (*.f32 (PI.f32) (neg.f32 tau))))
(exp.f32 (*.f32 (log.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) #s(literal -1 binary32)))
(pow.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.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 (*.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))
(pow.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.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))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (neg.f32 tau))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x x)))) (*.f32 (PI.f32) (neg.f32 tau))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (sin.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 (PI.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) (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.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) (*.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) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.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 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) 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) (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x x)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x x)))) (neg.f32 (*.f32 (PI.f32) (neg.f32 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 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(/.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 #s(literal -1 binary32) (neg.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)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.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) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (PI.f32) (neg.f32 tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x x))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) (neg.f32 tau)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))) (sin.f32 (*.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 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
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(/.f32 #s(literal 1 binary32) (/.f32 #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 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #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 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1/2 binary32))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.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)))
(neg.f32 (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal 1 binary32))))
(/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (neg.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) #s(literal 1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))) (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) #s(literal 1 binary32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x tau) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) (/.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))
(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
(exp.f32 (*.f32 #s(literal 4 binary32) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 12 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 8 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (PI.f32)))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 8 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 8 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 4 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 (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 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.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 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.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 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 4 binary32)) (pow.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) #s(literal 4 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 tau)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 tau) #s(literal 4 binary32)))
(exp.f32 (fma.f32 #s(literal 2 binary32) (log.f32 tau) (*.f32 #s(literal 2 binary32) (log.f32 tau))))
(pow.f32 tau #s(literal 4 binary32))
(pow.f32 (*.f32 tau tau) #s(literal 2 binary32))
(pow.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1 binary32))
(*.f32 tau (*.f32 tau (*.f32 tau tau)))
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 (*.f32 tau (*.f32 tau tau)) tau)

eval220.0ms (1.5%)

Memory
52.6MiB live, 397.7MiB allocated
Compiler

Compiled 58 823 to 3 012 computations (94.9% saved)

prune214.0ms (1.4%)

Memory
-43.3MiB live, 526.4MiB allocated
Pruning

47 alts after pruning (46 fresh and 1 done)

PrunedKeptTotal
New1 973342 007
Fresh81220
Picked415
Done000
Total1 985472 032
Accuracy
99.9%
Counts
2 032 → 47
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.5%
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.8%
(/.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)))
97.5%
(/.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))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
▶97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
97.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
81.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32)))))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (PI.f32))))
81.4%
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
66.2%
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x))) (*.f32 (PI.f32) tau))
88.2%
(/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
95.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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))))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.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))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
▶96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
65.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)))
96.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
87.8%
(*.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))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))))
72.9%
(*.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))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))))
65.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
81.9%
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
97.6%
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
▶87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
86.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
▶81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
13.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))))
13.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
✓65.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 2 666 to 1 433 computations (46.2% saved)

simplify314.0ms (2.1%)

Memory
41.7MiB live, 549.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
✓cost-diff0
(*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
✓cost-diff0
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
✓cost-diff0
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
✓cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
✓cost-diff640
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
✓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 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
Rules
7 300×lower-*.f64
7 246×lower-*.f32
6 696×lower-fma.f64
6 682×lower-fma.f32
2 424×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063660
0120660
1290656
2888630
34833622
08950618
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 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(*.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 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x))))
(*.f32 x (*.f32 (PI.f32) (neg.f32 x)))
(*.f32 (PI.f32) (neg.f32 x))
(neg.f32 x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 tau tau)
tau
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(*.f32 tau tau)
tau
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
x
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 x x)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(*.f32 tau #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
(*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(*.f32 x x)
(*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
#s(literal 1 binary32)
(*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
x
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x))))
(neg.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 x (*.f32 (PI.f32) (neg.f32 x)))
(*.f32 x (*.f32 x (neg.f32 (PI.f32))))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 x (neg.f32 (PI.f32)))
(neg.f32 x)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (PI.f32)) (*.f32 x (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 tau tau)
tau
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 x (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 x (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
(*.f32 tau tau)
tau
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
(fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
x
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(*.f32 x x)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(*.f32 tau #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(PI.f32)
(*.f32 x tau)
x
tau
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))
(*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))
(*.f32 x (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (PI.f32))
(*.f32 x x)
(*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
#s(literal -1/6 binary32)
(*.f32 (PI.f32) (PI.f32))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.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))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
x
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))

localize232.0ms (1.6%)

Memory
11.5MiB live, 553.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.8%
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy89.4%
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
✓accuracy98.7%
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
✓accuracy98.5%
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
✓accuracy99.0%
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓accuracy98.9%
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
✓accuracy98.9%
(*.f32 (PI.f32) (neg.f32 x))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
Samples
132.0ms256×0valid
Compiler

Compiled 563 to 66 computations (88.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 103.0ms
ival-mult: 54.0ms (52.3% of total)
ival-sin: 14.0ms (13.6% of total)
ival-div: 13.0ms (12.6% of total)
const: 10.0ms (9.7% of total)
ival-add: 9.0ms (8.7% of total)
ival-neg: 2.0ms (1.9% of total)
ival-pi: 1.0ms (1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
-46.4MiB live, 59.7MiB allocated
Counts
30 → 576
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 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))>
#<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 #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))>
#<alt (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))>
#<alt (*.f32 x x)>
#<alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))>
#<alt (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))>
#<alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))>
#<alt (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))>
#<alt (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))>
#<alt (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))>
#<alt (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)>
#<alt (*.f32 x (PI.f32))>
#<alt (*.f32 (PI.f32) (neg.f32 x))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))>
#<alt (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))>
#<alt (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))>
#<alt #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1 (* 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)))))))))>
#<alt (* 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))))))))))>
#<alt (* 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)))))))))))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* tau (* 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 (* (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 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* (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 (/ 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 (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* 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 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt -1/6>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt (* (pow x 2) (pow (PI) 4))>
#<alt 1/36>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (+ 1/36 (* 1/120 (pow tau 2)))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* 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 (* 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 (PI)>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 3)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 3)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
Calls

144 calls:

TimeVariablePointExpression
15.0ms
x
@inf
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
1.0ms
x
@0
(* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* (* x (* (PI) (PI))) (* x (* (PI) (PI)))))
1.0ms
tau
@inf
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
1.0ms
tau
@0
(+ (* (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* (* x (* (PI) (PI))) (* x (* (PI) (PI))))) (* x x)) (+ (* (* x x) (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) 1))
1.0ms
tau
@inf
(+ (* (* (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (* (* x (* (PI) (PI))) (* x (* (PI) (PI))))) (* x x)) (+ (* (* x x) (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) 1))

simplify442.0ms (3%)

Memory
14.2MiB live, 849.6MiB allocated
Algorithm
1×egg-herbie
Rules
16 578×lower-fma.f64
16 578×lower-fma.f32
8 560×lower-*.f64
8 560×lower-*.f32
3 518×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046410016
116089577
262479017
082078650
Stop Event
1×iter limit
1×node limit
Counts
576 → 576
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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1
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(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1/6 (pow tau 2))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
1/36
(+ 1/36 (* 1/120 (pow tau 2)))
(+ 1/36 (* 1/120 (pow tau 2)))
(+ 1/36 (* 1/120 (pow tau 2)))
(* 1/120 (pow tau 2))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* 1/120 (pow tau 2))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* 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)))
(* 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)))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.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 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (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 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (neg.f32 tau))
(* (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 (neg.f32 (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau 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 (neg.f32 (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 (PI.f32) (*.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 x (*.f32 x (fma.f32 (neg.f32 (*.f32 x x)) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/5040 binary32) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))) (*.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 tau (*.f32 tau tau) tau))))) (*.f32 (PI.f32) (*.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 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 tau))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 x (neg.f32 (PI.f32)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))))))
(* 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 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/120 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (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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1/120
#s(literal 1/120 binary32)
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(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
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(* 1/120 (pow tau 4))
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(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
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1
#s(literal 1 binary32)
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(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (sin (* 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 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.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 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(* tau (PI))
(*.f32 tau (PI.f32))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (PI.f32)))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 #s(literal -1/5040 binary32) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))) (*.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32)))))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (PI.f32)))
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(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x))
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x)))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI))))))))) (/ (sin (* x (PI))) x)))
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(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) x)))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
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(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x))))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/5040 binary32) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))) (*.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))) (*.f32 x (PI.f32)))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(*.f32 tau (fma.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x))))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (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))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))

rewrite558.0ms (3.7%)

Memory
6.9MiB live, 600.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 422×lower-*.f64
5 388×lower-fma.f64
5 374×lower-fma.f32
5 368×lower-*.f32
4 140×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
063481
0120465
1466427
23124421
09228415
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
30 → 1 205
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(*.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))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)))
(*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)
(*.f32 x (PI.f32))
(*.f32 (PI.f32) (neg.f32 x))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))
(*.f32 (PI.f32) (*.f32 x tau))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (neg.f32 x))) (*.f32 x (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))))
(-.f32 (/.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) tau) (neg.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))))
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(/.f32 (neg.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))))) (neg.f32 (-.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))
(*.f32 (fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))))
(*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) (neg.f32 (PI.f32)))))
(neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(pow.f32 (/.f32 #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)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)))
(-.f32 (/.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #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 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #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 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1/2 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))

eval312.0ms (2.1%)

Memory
40.8MiB live, 258.6MiB allocated
Compiler

Compiled 76 830 to 4 199 computations (94.5% saved)

prune610.0ms (4.1%)

Memory
-38.3MiB live, 446.9MiB allocated
Pruning

84 alts after pruning (80 fresh and 4 done)

PrunedKeptTotal
New2 021502 071
Fresh113041
Picked235
Done011
Total2 034842 118
Accuracy
99.9%
Counts
2 118 → 84
Alt Table
Click to see full alt table
StatusAccuracyProgram
87.5%
(/.f32 (/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) x) (*.f32 (PI.f32) tau))
87.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) tau))
✓87.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x #s(approx (+ (* (* x x) (* (PI) (* -1/6 (* (PI) (PI))))) (PI)) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x)))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
▶87.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
66.2%
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.8%
(/.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)))
97.5%
(/.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))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
87.7%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
87.6%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 (PI.f32) tau))
87.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
▶97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
87.8%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
87.8%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
81.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32)))))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (PI.f32))))
81.4%
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
66.2%
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x))) (*.f32 (PI.f32) tau))
87.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))))
87.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau)))
87.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)))
95.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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))))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.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))))
97.6%
(*.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))))
▶97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
87.7%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
87.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))))
94.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
65.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)))
✓96.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
96.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
87.8%
(*.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))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))))
72.9%
(*.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))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
87.5%
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
87.8%
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
87.9%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
87.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
87.8%
(*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
96.9%
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) 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))))
86.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
✓87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
83.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
82.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
86.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
83.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
▶87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
86.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
▶66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
13.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))))
4.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
✓65.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 5 300 to 2 728 computations (48.5% saved)

simplify807.0ms (5.4%)

Memory
47.7MiB live, 832.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓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 tau (*.f32 x (PI.f32))))))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
✓cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
✓cost-diff192
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
✓cost-diff0
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
✓cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
✓cost-diff64
(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
✓cost-diff640
(fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓cost-diff0
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
Rules
23 206×lower-fma.f64
23 194×lower-fma.f32
8 180×lower-*.f64
8 136×lower-*.f32
7 772×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057673
0102669
1223669
2644622
32320603
44941603
55549603
65790603
75890603
85892603
95892603
010212594
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
tau
(*.f32 tau #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
#s(literal 1 binary32)
(*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
(*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)))
(fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))
(*.f32 tau #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.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 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 x (*.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) (*.f32 x (*.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) x)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
tau
(*.f32 tau #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) x))) #s(literal 1 binary32))
#s(literal 1 binary32)
(*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) x))))
(fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
(fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
(*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)))
(*.f32 tau (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)))
(fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))
(fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32))
(*.f32 tau #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(*.f32 x (PI.f32))
x
(PI.f32)
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32))))
(*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32)))
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.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 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.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 tau (*.f32 x (PI.f32)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x tau))
tau
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))

localize208.0ms (1.4%)

Memory
-17.3MiB live, 379.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
✓accuracy98.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
✓accuracy98.8%
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
✓accuracy89.4%
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))
✓accuracy98.3%
(*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
✓accuracy98.1%
(*.f32 tau #s(literal 1/120 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
✓accuracy99.0%
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓accuracy23.9%
#s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
✓accuracy98.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
Samples
104.0ms256×0valid
Compiler

Compiled 564 to 58 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 43.0ms (53% of total)
ival-sin: 10.0ms (12.3% of total)
ival-add: 9.0ms (11.1% of total)
const: 9.0ms (11.1% of total)
ival-div: 8.0ms (9.9% of total)
ival-pi: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series24.0ms (0.2%)

Memory
17.4MiB live, 56.0MiB allocated
Counts
27 → 480
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))>
#<alt (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32))>
#<alt (*.f32 x x)>
#<alt (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))>
#<alt (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))>
#<alt (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))>
#<alt #s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))>
#<alt (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))>
#<alt (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))>
#<alt (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))>
#<alt (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))>
#<alt (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))>
#<alt #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 tau #s(literal 1/120 binary32))>
#<alt (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))>
#<alt #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))>
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))>
#<alt (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* 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))>
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#<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 (* (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 (/ (* tau (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))))>
#<alt (* tau (+ (* (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 (* tau (+ (* (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)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt tau>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2))))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4))))))))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (pow (PI) 6)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<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 (* 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 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))))>
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#<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 (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt -1/6>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* 1/120 tau)>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<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 (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (PI)>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 3)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 3)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))>
Calls

120 calls:

TimeVariablePointExpression
2.0ms
tau
@0
(* tau 1/120)
1.0ms
x
@0
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI)))))
1.0ms
x
@inf
(/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI))))))
1.0ms
x
@-inf
(/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI))))))
1.0ms
x
@0
(* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6)))

simplify434.0ms (2.9%)

Memory
-11.0MiB live, 896.5MiB allocated
Algorithm
1×egg-herbie
Rules
15 472×lower-fma.f64
15 472×lower-fma.f32
8 612×lower-*.f64
8 612×lower-*.f32
2 966×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04109036
113848644
251328152
369908152
081157767
Stop Event
1×iter limit
1×node limit
Counts
480 → 479
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)))
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(+ (* (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))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* 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)))
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(sin (* x (PI)))
(sin (* x (PI)))
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(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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(/ (* (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))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
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(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
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(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
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(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
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1
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
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(+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
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(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(+ 1 (* 1/120 (* (pow x 4) (pow (PI) 4))))
(+ 1 (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))
(+ 1 (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))
(+ 1 (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
1
(+ 1 (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(+ 1 (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(+ 1 (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ 1 (pow x 4))))
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1
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(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* 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)))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(* (pow x 2) (pow (PI) 2))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 tau tau)) (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) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (PI.f32)))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(*.f32 tau (fma.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (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)))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(* 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))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
1
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1
#s(literal 1 binary32)
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1
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(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
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(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32)))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32)))
(* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))
(*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32)))
(* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))))) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 x x) #s(literal 1 binary32))) #s(literal 1 binary32)))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/36 (* (pow x 4) (pow (PI) 4))))))))
(+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))
(+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))
(+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 tau tau))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 tau tau))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (+.f32 (/.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))))))
(+ 1 (* 1/120 (* (pow x 4) (pow (PI) 4))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1 binary32))
(+ 1 (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) #s(literal 1 binary32))
(+ 1 (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+ 1 (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(fma.f32 tau (*.f32 tau (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(fma.f32 tau (*.f32 tau (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(fma.f32 tau (*.f32 tau (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))
(fma.f32 tau (*.f32 tau (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(+ 1 (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))) #s(literal 1 binary32))
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(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* tau (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI)))))
(*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 tau tau)) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(* tau (+ (* (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)))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(* tau (+ (* (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)))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
tau
(+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (* -1/6 (* (pow tau 3) (pow (PI) 2))))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)
(+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (* 1/36 (* (pow tau 3) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)))) tau)
(+ tau (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 2))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 4))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 6))) (+ (* -1/5040 (* tau (pow (PI) 6))) (* -1/5040 (* (pow tau 7) (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 1/36 binary32) (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)))) tau)
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (PI.f32)))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(*.f32 tau (fma.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (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)))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.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))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
-1/6
#s(literal -1/6 binary32)
(- (* -1/6 (pow tau 2)) 1/6)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(- (* -1/6 (pow tau 2)) 1/6)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(- (* -1/6 (pow tau 2)) 1/6)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1/6 (pow tau 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1/6 (pow tau 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* 1/120 tau)
(*.f32 tau #s(literal 1/120 binary32))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (pow x 4) (pow (PI) 4))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) x))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(* 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))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (pow x 2) (pow (PI) 2))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(PI)
(PI.f32)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(* -1/6 (* (pow x 2) (pow (PI) 3)))
(*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))
(* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (/ (PI) (pow x 2))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))

rewrite378.0ms (2.5%)

Memory
48.6MiB live, 633.9MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 730×lower-fma.f64
5 718×lower-fma.f32
4 972×lower-*.f64
4 928×lower-*.f32
3 544×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
057479
0102451
1397418
22809410
08431398
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
27 → 948
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))
(fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
#s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 tau #s(literal 1/120 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
#s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau))))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))) #s(literal -1 binary32))
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(fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (sqrt.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(-.f32 (/.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))) (/.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))))))
(/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))))
(/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))))))
(/.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))))))
(/.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))))
(/.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))))) (neg.f32 (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))))) (neg.f32 (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))) (*.f32 (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (neg.f32 (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))
(*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))))
(*.f32 (*.f32 (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (neg.f32 (PI.f32)))))

eval214.0ms (1.4%)

Memory
11.5MiB live, 397.6MiB allocated
Compiler

Compiled 66 929 to 3 463 computations (94.8% saved)

prune584.0ms (3.9%)

Memory
-128.5MiB live, 811.5MiB allocated
Pruning

99 alts after pruning (93 fresh and 6 done)

PrunedKeptTotal
New1 817401 857
Fresh225375
Picked235
Done134
Total1 842991 941
Accuracy
99.9%
Counts
1 941 → 99
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.8%
(/.f32 (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
✓87.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x #s(approx (+ (* (* x x) (* (PI) (* -1/6 (* (PI) (PI))))) (PI)) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x)))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
94.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
66.2%
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
66.3%
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
87.6%
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
65.8%
(/.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)))
97.5%
(/.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))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
87.7%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
87.4%
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) tau)
87.5%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau))
87.4%
(/.f32 (*.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (PI.f32))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)))
✓97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
87.8%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
87.7%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
87.4%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) tau)
87.3%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (neg.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))) (*.f32 tau (neg.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
72.8%
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
97.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
81.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32)))))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (PI.f32))))
81.4%
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
66.2%
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x))) (*.f32 (PI.f32) tau))
81.5%
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
87.0%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))))) tau))
87.3%
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau)))
87.4%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)))
95.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
97.5%
(*.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))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
97.6%
(*.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))))
87.9%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) x))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
87.7%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))))
87.4%
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
87.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))))
94.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
87.8%
(*.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))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))))
72.9%
(*.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))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
87.8%
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))))
94.9%
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/5040 binary32)) tau) (/.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 tau (*.f32 x (PI.f32)))))
92.8%
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
87.7%
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
72.7%
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
87.8%
(*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
96.9%
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) 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))))
96.9%
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
86.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
✓87.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
83.7%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
82.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) x)) x (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 x (PI.f32))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) #s(literal 1 binary32))))
86.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
83.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) x) (*.f32 x (PI.f32)))))))
✓87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 x (PI.f32))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) #s(literal 1 binary32))))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 x (PI.f32))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) #s(literal 1 binary32))))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
86.8%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
81.9%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
✓66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
72.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
87.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))))
87.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
66.5%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
66.4%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
97.1%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
87.0%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
13.3%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))))
4.2%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
✓65.6%
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Compiler

Compiled 7 586 to 2 250 computations (70.3% saved)

regimes205.0ms (1.4%)

Memory
0.2MiB live, 434.5MiB allocated
Counts
150 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) 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 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (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 (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.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))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.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))))
(*.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 (PI.f32))) (*.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.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))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
(/.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 (-.f32 (cos.f32 (-.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -1/5040 binary32)) tau) (/.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 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (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))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) 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))))
Calls

4 calls:

53.0ms
(*.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))))
50.0ms
(*.f32 x (PI.f32))
47.0ms
x
45.0ms
tau
Results
AccuracySegmentsBranch
98.1%1x
98.1%1tau
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes169.0ms (1.1%)

Memory
16.0MiB live, 409.0MiB allocated
Counts
131 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
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(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) 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 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (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 (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) 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 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.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))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.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 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
Calls

4 calls:

42.0ms
x
41.0ms
(*.f32 x (PI.f32))
40.0ms
tau
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))))
Results
AccuracySegmentsBranch
97.7%1x
97.7%1tau
97.7%1(*.f32 x (PI.f32))
97.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes160.0ms (1.1%)

Memory
-1.0MiB live, 360.2MiB allocated
Counts
120 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
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(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) 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))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) tau)
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))))) tau))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) tau)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x #s(approx (+ (* (* x x) (* (PI) (* -1/6 (* (PI) (PI))))) (PI)) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x)))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) 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 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) tau) (PI.f32)) x))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x (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 (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 (PI.f32) (neg.f32 x)))))
Outputs
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
Calls

4 calls:

38.0ms
tau
37.0ms
x
37.0ms
(*.f32 x (PI.f32))
36.0ms
(*.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
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
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))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes173.0ms (1.2%)

Memory
-32.1MiB live, 379.4MiB allocated
Counts
107 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
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(/.f32 (*.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x #s(approx (+ (* (* x x) (* (PI) (* -1/6 (* (PI) (PI))))) (PI)) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x)))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
#s(approx (/ (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) tau) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
Calls

4 calls:

69.0ms
(*.f32 x (PI.f32))
35.0ms
tau
31.0ms
(*.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))))
30.0ms
x
Results
AccuracySegmentsBranch
97.1%1x
97.1%1(*.f32 x (PI.f32))
97.1%1tau
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes131.0ms (0.9%)

Memory
-3.9MiB live, 231.3MiB allocated
Counts
105 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
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(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) tau)
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))))) tau))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) tau)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x #s(approx (+ (* (* x x) (* (PI) (* -1/6 (* (PI) (PI))))) (PI)) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x)))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
Outputs
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
Calls

4 calls:

31.0ms
x
31.0ms
tau
30.0ms
(*.f32 x (PI.f32))
29.0ms
(*.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
92.8%1x
92.8%1tau
92.8%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))))
92.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes127.0ms (0.9%)

Memory
40.5MiB live, 233.7MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
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#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 (PI.f32) (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (PI.f32)) x))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (neg.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))) (*.f32 tau (neg.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(*.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) 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))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) tau)
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(approx (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))))) tau))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) tau)
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x x)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32)) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x #s(approx (+ (* (* x x) (* (PI) (* -1/6 (* (PI) (PI))))) (PI)) (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (/.f32 (PI.f32) (*.f32 x x)))))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (+.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
Calls

4 calls:

34.0ms
x
30.0ms
tau
29.0ms
(*.f32 x (PI.f32))
29.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
88.5%1x
88.5%1(*.f32 x (PI.f32))
88.5%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))))
88.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes86.0ms (0.6%)

Memory
-31.5MiB live, 130.9MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(approx (neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x))) (*.f32 x (PI.f32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 x x) (*.f32 x x)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x (* (* (PI) (PI)) (+ (* tau (* tau -1/6)) -1/6))) x) (+ 1 (* (+ (* tau (* tau (+ (* tau (* tau 1/120)) 1/36))) 1/120) (* (* (PI) (* x (* x (PI)))) (* (PI) (* x (* x (PI)))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(/.f32 (*.f32 #s(approx (sin (* x (PI))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(approx (sin (* x (PI))) (*.f32 x (PI.f32)))))
(*.f32 #s(approx (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
Calls

4 calls:

25.0ms
tau
19.0ms
x
19.0ms
(*.f32 x (PI.f32))
16.0ms
(*.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
87.5%1x
87.5%1tau
87.5%1(*.f32 x (PI.f32))
87.5%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))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes38.0ms (0.3%)

Memory
27.3MiB live, 65.4MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x x) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
Calls

4 calls:

12.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
tau
8.0ms
(*.f32 x (PI.f32))
8.0ms
x
Results
AccuracySegmentsBranch
87.5%1x
87.5%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))))
87.5%1(*.f32 x (PI.f32))
87.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes41.0ms (0.3%)

Memory
-24.2MiB live, 59.2MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
Calls

4 calls:

13.0ms
tau
11.0ms
x
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
82.9%1x
82.9%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))))
82.9%1(*.f32 x (PI.f32))
82.9%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes80.0ms (0.5%)

Memory
1.9MiB live, 41.1MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal -1 binary32)))))
(/.f32 (/.f32 (*.f32 #s(approx (sin (* tau (* x (PI)))) (*.f32 x (*.f32 tau (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (PI.f32))) (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 #s(approx (sin (* (PI) (* x tau))) (*.f32 tau (*.f32 x (PI.f32)))) #s(approx (sin (* x (PI))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
Calls

4 calls:

58.0ms
tau
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
Results
AccuracySegmentsBranch
81.9%1tau
81.9%1x
81.9%1(*.f32 x (PI.f32))
81.9%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)

regimes27.0ms (0.2%)

Memory
7.5MiB live, 46.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
Calls

4 calls:

7.0ms
tau
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms
x
6.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
81.9%1x
81.9%1tau
81.9%1(*.f32 x (PI.f32))
81.9%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)

regimes25.0ms (0.2%)

Memory
11.0MiB live, 49.6MiB allocated
Counts
17 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(approx (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (PI) (* x (* x (PI))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))) tau)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 (/.f32 #s(approx (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 #s(approx (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (PI.f32)))) (*.f32 (PI.f32) tau))
Outputs
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
Calls

4 calls:

8.0ms
tau
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
6.0ms
(*.f32 x (PI.f32))
5.0ms
x
Results
AccuracySegmentsBranch
81.9%1x
81.9%1(*.f32 x (PI.f32))
81.9%1tau
81.9%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)

regimes21.0ms (0.1%)

Memory
-7.3MiB live, 35.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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:

7.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
81.9%1x
81.9%1(*.f32 x (PI.f32))
81.9%1tau
81.9%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)

regimes17.0ms (0.1%)

Memory
-6.3MiB live, 32.3MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
Calls

4 calls:

5.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
72.1%1x
72.1%1(*.f32 x (PI.f32))
72.1%1tau
72.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes54.0ms (0.4%)

Memory
-13.6MiB live, 25.5MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
Calls

4 calls:

4.0ms
tau
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
x
Results
AccuracySegmentsBranch
72.1%1x
72.1%1(*.f32 x (PI.f32))
72.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
72.1%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes14.0ms (0.1%)

Memory
23.6MiB live, 23.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
Calls

4 calls:

3.0ms
tau
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
x
Results
AccuracySegmentsBranch
72.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
72.1%1x
72.1%1(*.f32 x (PI.f32))
72.1%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes72.0ms (0.5%)

Memory
-17.5MiB live, 21.5MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(approx (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau))))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
Calls

4 calls:

62.0ms
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
tau
3.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
66.5%1x
66.5%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))))
66.5%1(*.f32 x (PI.f32))
66.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes9.0ms (0.1%)

Memory
15.3MiB live, 15.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #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
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
66.5%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))))
66.5%1x
66.5%1(*.f32 x (PI.f32))
66.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes8.0ms (0.1%)

Memory
14.9MiB live, 14.9MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #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
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
66.5%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))))
66.5%1tau
66.5%1x
66.5%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes8.0ms (0.1%)

Memory
-21.8MiB live, 15.0MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 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
tau
1.0ms
x
Results
AccuracySegmentsBranch
65.6%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))))
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify115.0ms (0.8%)

Memory
26.8MiB live, 63.5MiB allocated
Algorithm
1×egg-herbie
Rules
906×distribute-lft-neg-in_binary32
552×neg-mul-1_binary32
504×neg-sub0_binary32
400×unsub-neg_binary32
368×cancel-sign-sub_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0159874
1223874
2244874
3273872
4301872
5354872
6440872
7567872
8837872
91328872
101812872
112226872
122517872
132654872
142728872
152772872
162784872
172795872
182798872
192808872
202810872
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 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
(*.f32 #s(approx (/ (sin (* x (PI))) (* x (* (PI) (* tau (* x (PI)))))) (/.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 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(approx (/ (sin (* x (PI))) (* x (PI))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (+.f32 (*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(approx (+ (* 1/120 (* tau tau)) 1/36) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 #s(approx (+ (* (* tau tau) (+ (* 1/120 (* tau tau)) 1/36)) 1/120) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32)))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (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)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(approx (+ (* -1/6 (* tau tau)) -1/6) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) tau)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x x) #s(approx (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)))) x #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(approx (+ (* -1/6 (* tau tau)) -1/6) #s(literal -1/6 binary32))) (*.f32 x x)) #s(literal 1 binary32)))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) #s(literal 1 binary32))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32)))))
#s(approx (/ (/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI)))) (* (PI) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))))
#s(approx (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))))
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soundness2.3s (15.2%)

Memory
25.8MiB live, 1 685.2MiB allocated
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
16 578×lower-fma.f64
16 578×lower-fma.f32
15 472×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
01855
16355
248353
3648553
0811453
057479
0102451
1397418
22809410
08431398
046410016
116089577
262479017
082078650
04109036
113848644
251328152
369908152
081157767
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
049324
088318
1354302
22772286
08269282
063481
0120465
1466427
23124421
09228415
04607606
115567322
261937240
083056975
Stop Event
1×fuel
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×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
Compiler

Compiled 993 to 413 computations (58.4% saved)

preprocess111.0ms (0.7%)

Memory
-18.9MiB live, 250.6MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 858 to 614 computations (67% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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