Lanczos kernel

Time bar (total: 14.8s)

analyze21.0ms (0.1%)

Memory
7.1MiB live, 46.1MiB 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)

sample1.5s (10.4%)

Memory
26.0MiB live, 2 525.8MiB allocated
Samples
1.2s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 911.0ms
ival-sin: 235.0ms (25.8% of total)
ival-mult: 226.0ms (24.8% of total)
ival-div: 145.0ms (15.9% of total)
const: 119.0ms (13.1% of total)
ival-<=: 113.0ms (12.4% of total)
ival-pi: 41.0ms (4.5% 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

preprocess80.0ms (0.5%)

Memory
-16.4MiB live, 98.8MiB 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
12321
28021
328421
467821
5105821
6109321
7109321
0109321
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
Symmetry

(abs tau)

(abs x)

explain131.0ms (0.9%)

Memory
-0.1MiB live, 308.2MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+00
-0256
Precision
0/0
Recall
0/0
Confusion?
Predicted +Predicted MaybePredicted -
+000
-00256
Precision?
0/0
Recall?
0/0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+000
-001
Precision?
0/0
Recall?
0/0
Samples
46.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 29.0ms
ival-sin: 11.0ms (38.5% of total)
ival-mult: 9.0ms (31.5% of total)
ival-div: 6.0ms (21% of total)
ival-pi: 2.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify30.0ms (0.2%)

Memory
19.9MiB live, 65.0MiB 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×*-lowering-*.f32
578×*-lowering-*.f64
540×/-lowering-/.f32
540×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
12362
28062
328462
467862
5105862
6109362
7109362
0109362
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (* x (PI)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))

localize35.0ms (0.2%)

Memory
-17.4MiB live, 99.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.2%
(*.f32 x (PI.f32))
✓accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
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 (37.4% of total)
ival-mult: 4.0ms (24.9% of total)
ival-div: 3.0ms (18.7% of total)
ival-pi: 2.0ms (12.5% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series30.0ms (0.2%)

Memory
19.8MiB live, 68.3MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
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
6.0ms
tau
@-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))))
3.0ms
x
@0
(/ (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))))

rewrite309.0ms (2.1%)

Memory
21.0MiB live, 519.5MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×*-lowering-*.f32
4 760×*-lowering-*.f64
3 316×/-lowering-/.f32
3 316×/-lowering-/.f64
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
15555
247553
3647553
0810853
Stop Event
1×iter limit
1×node limit
Counts
6 → 670
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
Outputs
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau))))
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(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 2/9 binary32))) (pow.f32 (PI.f32) #s(literal 1/9 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal -1/3 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (cbrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)))
(*.f32 (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1/2 binary32)) (pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1/2 binary32)))
(neg.f32 (neg.f32 (*.f32 x (PI.f32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32))
(*.f32 x (PI.f32))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 x (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 x (cbrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 x (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (cbrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (/.f32 (sqrt.f32 (PI.f32)) #s(literal 1 binary32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.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))))

simplify608.0ms (4.1%)

Memory
-38.9MiB live, 755.7MiB allocated
Algorithm
1×egg-herbie
Rules
16 966×accelerator-lowering-fma.f32
16 966×accelerator-lowering-fma.f64
6 828×+-lowering-+.f64
6 828×+-lowering-+.f32
6 246×*-lowering-*.f32
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))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
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(sin (* tau (* x (PI))))
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(sin (* tau (* x (PI))))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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eval87.0ms (0.6%)

Memory
-3.3MiB live, 184.0MiB allocated
Compiler

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

prune145.0ms (1%)

Memory
16.4MiB live, 369.6MiB allocated
Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New984291 013
Fresh000
Picked011
Done000
Total984301 014
Accuracy
100.0%
Counts
1 014 → 30
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
97.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
▶98.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
67.9%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
98.2%
(/.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)))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
65.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
82.4%
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
✓98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32)))))
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
▶97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
▶64.9%
#s(literal 1 binary32)
Compiler

Compiled 1 413 to 772 computations (45.4% saved)

simplify252.0ms (1.7%)

Memory
-27.8MiB live, 254.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
✓cost-diff352
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
✓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 (PI.f32) tau) x))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 tau (PI.f32))
✓cost-diff0
(*.f32 x (*.f32 tau (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
✓cost-diff0
(*.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)))))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
✓cost-diff320
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
Rules
3 890×*-lowering-*.f32
3 890×*-lowering-*.f64
2 362×--lowering--.f32
2 362×--lowering--.f64
2 172×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034316
1109316
2445308
33051308
44385308
56642308
08079308
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI)))) (neg (* x (* (PI) tau))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (PI)))
(* x (PI))
(neg (* x (PI)))
(neg (* x (* (PI) tau)))
1
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(sin (* x (* tau (PI))))
(* x (* tau (PI)))
x
(* tau (PI))
tau
(PI)
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))
(sin (* x (PI)))
(* x (PI))
(* (PI) (* (* (* x x) tau) (PI)))
(* (* (* x x) tau) (PI))
(* (* x x) tau)
(* x x)
(* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(* (* (PI) tau) x)
(* (PI) tau)
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (PI)) (/ 1 x)))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(* (/ (sin (* x (PI))) (PI)) (/ 1 x))
(/ (sin (* x (PI))) (PI))
(sin (* x (PI)))
(/ 1 x)
1
Outputs
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI)))) (neg (* x (* (PI) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (neg.f32 x))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(neg (* x (PI)))
(*.f32 (PI.f32) (neg.f32 x))
(neg (* x (* (PI) tau)))
(neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))
1
#s(literal 1 binary32)
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(sin (* x (* tau (PI))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* tau (PI)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* tau (PI))
(*.f32 (PI.f32) tau)
tau
(PI)
(PI.f32)
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (PI) (* (* (* x x) tau) (PI)))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(* (* (* x x) tau) (PI))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x x) tau)
(*.f32 x (*.f32 x tau))
(* x x)
(*.f32 x x)
(* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x (PI)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(* (* (PI) tau) x)
(*.f32 x (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (PI)) (/ 1 x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x (PI)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(* (/ (sin (* x (PI))) (PI)) (/ 1 x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)

localize124.0ms (0.8%)

Memory
52.5MiB live, 279.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
✓accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))
✓accuracy98.8%
(*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))
✓accuracy98.6%
(*.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)))))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
Samples
70.0ms256×0valid
Compiler

Compiled 316 to 36 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 49.0ms
ival-mult: 21.0ms (43.2% of total)
ival-div: 13.0ms (26.7% of total)
ival-sin: 11.0ms (22.6% of total)
ival-neg: 2.0ms (4.1% of total)
ival-pi: 1.0ms (2.1% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series27.0ms (0.2%)

Memory
-17.7MiB live, 63.2MiB allocated
Counts
21 → 444
Calls
Call 1
Inputs
#<alt (/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI)))) (neg (* x (* (PI) tau))))>
#<alt (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI))))>
#<alt (* (sin (* x (* (PI) tau))) (sin (* x (PI))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))>
#<alt (sin (* x (* tau (PI))))>
#<alt (* x (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (* (/ (sin (* x (PI))) (PI)) (/ 1 x))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (PI)) (/ 1 x)))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (* (PI) tau)>
#<alt (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))>
#<alt (* (* (* x x) tau) (PI))>
#<alt (* (PI) (* (* (* x x) tau) (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (PI))>
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 (* x (PI))))>
#<alt (* x (+ (* -1 (* tau (PI))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))))>
#<alt (* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))>
#<alt (* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* (pow x 2) (+ (* -1 (* (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)))))))) (* -1 (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (* tau (sin (* x (PI)))))>
#<alt (* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))>
#<alt (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))>
#<alt (* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -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 (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt 1>
#<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 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 (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<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 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>
#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (* x (+ 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))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
Calls

111 calls:

TimeVariablePointExpression
3.0ms
x
@0
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI)))) (neg (* x (* (PI) tau))))
1.0ms
tau
@inf
(* (* (* x x) tau) (PI))
1.0ms
x
@inf
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI))))
1.0ms
x
@0
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI))))
1.0ms
tau
@0
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))

rewrite350.0ms (2.4%)

Memory
-0.3MiB live, 749.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 184×*-lowering-*.f32
4 184×*-lowering-*.f64
3 538×/-lowering-/.f32
3 538×/-lowering-/.f64
2 438×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
034229
1193221
21596209
08041209
Stop Event
1×iter limit
1×node limit
Counts
21 → 1 654
Calls
Call 1
Inputs
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI)))) (neg (* x (* (PI) tau))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (PI))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(sin (* x (* tau (PI))))
(* x (* tau (PI)))
(* tau (PI))
(* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* (/ (sin (* x (PI))) (PI)) (/ 1 x))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ (sin (* x (PI))) (PI)) (/ 1 x)))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(* (PI) tau)
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))
(* (* (* x x) tau) (PI))
(* (PI) (* (* (* x x) tau) (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (PI))
Outputs
(neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 tau (*.f32 (PI.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 0 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (/.f32 (*.f32 tau (*.f32 (PI.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 0 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
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(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (neg.f32 (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 #s(literal -1 binary32) x) (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))) #s(literal -1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 #s(literal -1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (cbrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (cbrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))
(*.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 x (PI.f32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (cbrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32)))))
(/.f32 #s(literal -1 binary32) (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
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(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (cbrt.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32)))) (neg.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (cbrt.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (/.f32 (cbrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32))) (pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)))

simplify663.0ms (4.5%)

Memory
-12.3MiB live, 1 394.4MiB allocated
Algorithm
1×egg-herbie
Rules
24 608×accelerator-lowering-fma.f32
24 608×accelerator-lowering-fma.f64
7 290×*-lowering-*.f32
7 290×*-lowering-*.f64
5 758×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03716718
112646567
250996399
083036202
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* x (PI))))
(* x (+ (* -1 (* tau (PI))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* (pow x 2) (+ (* -1 (* (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)))))))) (* -1 (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (* tau (sin (* x (PI)))))
(* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
(* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* 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))))
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(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* x (+ 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))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.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 -1/720 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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (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))))))
(* -1 (* tau (* x (PI))))
(*.f32 x (*.f32 tau (neg.f32 (PI.f32))))
(* x (+ (* -1 (* tau (PI))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))))
(*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (neg.f32 (*.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 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (neg.f32 (PI.f32)))))
(* x (+ (* -1 (* tau (PI))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))) (* (pow x 2) (+ (* -1 (* (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)))))))) (* -1 (+ (* 1/120 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))))
(*.f32 x (fma.f32 x (*.f32 x (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 (neg.f32 (*.f32 x x)) (fma.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 (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 tau (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (* tau (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau))
(* tau (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32))))
(* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))))
(*.f32 tau (fma.f32 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/120 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI)))))))))))))
(*.f32 tau (fma.f32 tau (*.f32 tau (*.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 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 #s(literal -1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal -1 binary32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))))
(* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.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))) (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 1/36 binary32) (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (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 (*.f32 x 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 1/36 binary32) (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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#s(literal 1 binary32)
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#s(literal 1 binary32)
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(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) (*.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))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(/ 1 (* tau (* x (PI))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (+ (* (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)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau) #s(literal -1/5040 binary32)) (/.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 (* 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))))))
(/ (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))))))
(/ (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 (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
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
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x)
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (*.f32 x (*.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)))) x)
(* x (+ 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 (*.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)))) x)
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))

eval261.0ms (1.8%)

Memory
56.6MiB live, 470.5MiB allocated
Compiler

Compiled 58 996 to 2 980 computations (94.9% saved)

prune201.0ms (1.4%)

Memory
-32.1MiB live, 464.6MiB allocated
Pruning

37 alts after pruning (34 fresh and 3 done)

PrunedKeptTotal
New2 348242 372
Fresh141024
Picked325
Done011
Total2 365372 402
Accuracy
100.0%
Counts
2 402 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
82.0%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
▶82.0%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
64.7%
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
68.2%
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
65.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
81.1%
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
▶97.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
65.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
82.4%
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.1%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
▶72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
✓98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
✓97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (sin.f32 (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
▶97.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
68.2%
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
93.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
87.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) (*.f32 x tau))))
97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
72.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
✓64.9%
#s(literal 1 binary32)
Compiler

Compiled 1 713 to 988 computations (42.3% saved)

simplify497.0ms (3.4%)

Memory
-8.4MiB live, 511.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))
✓cost-diff0
(*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
✓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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
✓cost-diff320
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓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 (PI.f32) tau) x))
✓cost-diff160
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
✓cost-diff0
(*.f32 (PI.f32) (PI.f32))
✓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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
✓cost-diff0
(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))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff192
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
Rules
11 980×accelerator-lowering-fma.f32
11 980×accelerator-lowering-fma.f64
5 640×*-lowering-*.f32
5 640×*-lowering-*.f64
5 268×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047444
1141434
2502424
32364424
45297424
55432424
65444424
75444424
08133404
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
(/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))
(* x (* (PI) tau))
(* (PI) tau)
tau
(sin (* x (* (PI) tau)))
(+ (* x (* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
x
(* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(PI)
(+ (* -1/6 (* tau tau)) -1/6)
-1/6
(* tau tau)
tau
1
(* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) 1)
(/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(* (* (PI) tau) x)
(* (PI) tau)
1
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(* x x)
x
(+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(pow (PI) 4)
(PI)
4
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* tau tau) (* tau tau)) 1)
(* tau tau)
tau
1
1/120
(* (* tau tau) 1/36)
1/36
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(+ (* -1/6 (* tau tau)) -1/6)
-1/6
(* (/ 1 (* tau (* (PI) (* (PI) (* x x))))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))
(/ 1 (* tau (* (PI) (* (PI) (* x x)))))
1
(* tau (* (PI) (* (PI) (* x x))))
tau
(* (PI) (* (PI) (* x x)))
(PI)
(* (PI) (* x x))
(* x x)
x
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(sin (* x (PI)))
(* x (PI))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
Outputs
(/ (sin (* x (PI))) (* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
(/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(+ (* x (* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
x
(* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(+ (* -1/6 (* tau tau)) -1/6)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
(* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) 1)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (* x (PI)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(* (* (PI) tau) x)
(*.f32 (PI.f32) (*.f32 x tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
1
#s(literal 1 binary32)
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(fma.f32 (*.f32 x 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 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(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 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
(* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(*.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 (PI) 4)
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI)
(PI.f32)
4
#s(literal 4 binary32)
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(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))
(+ (* (* tau tau) (* tau tau)) 1)
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
1/120
#s(literal 1/120 binary32)
(* (* tau tau) 1/36)
(*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))
1/36
#s(literal 1/36 binary32)
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(+ (* -1/6 (* tau tau)) -1/6)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* (/ 1 (* tau (* (PI) (* (PI) (* x x))))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(/ 1 (* tau (* (PI) (* (PI) (* x x)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
1
#s(literal 1 binary32)
(* tau (* (PI) (* (PI) (* x x))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
tau
(* (PI) (* (PI) (* x x)))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(PI)
(PI.f32)
(* (PI) (* x x))
(*.f32 x (*.f32 x (PI.f32)))
(* x x)
(*.f32 x x)
x
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)

localize269.0ms (1.8%)

Memory
9.6MiB live, 284.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x x))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
✓accuracy98.6%
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓accuracy98.6%
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy95.0%
(pow.f32 (PI.f32) #s(literal 4 binary32))
✓accuracy99.1%
(*.f32 (*.f32 (PI.f32) tau) x)
✓accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.6%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x))
✓accuracy99.2%
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
✓accuracy98.8%
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓accuracy98.7%
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.1%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
Samples
180.0ms256×0valid
Compiler

Compiled 429 to 49 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 160.0ms
ival-mult: 80.0ms (50.1% of total)
ival-sin: 34.0ms (21.3% of total)
const: 24.0ms (15% of total)
ival-add: 7.0ms (4.4% of total)
ival-div: 6.0ms (3.8% of total)
exact: 5.0ms (3.1% of total)
ival-pow: 2.0ms (1.3% of total)
ival-pi: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series69.0ms (0.5%)

Memory
2.1MiB live, 38.7MiB allocated
Counts
29 → 504
Calls
Call 1
Inputs
#<alt (/ (sin (* x (PI))) (* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (PI)>
#<alt (+ (* x (* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)>
#<alt (* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))>
#<alt (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))>
#<alt (* (PI) (PI))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) 1)>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))>
#<alt (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)>
#<alt (* x x)>
#<alt (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))>
#<alt (* (/ 1 (* tau (* (PI) (* (PI) (* x x))))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))>
#<alt (/ 1 (* tau (* (PI) (* (PI) (* x x)))))>
#<alt (* tau (* (PI) (* (PI) (* x x))))>
#<alt (* (PI) (* (PI) (* x x)))>
#<alt (* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))>
#<alt (* (PI) tau)>
#<alt (sin (* x (* (PI) tau)))>
#<alt (+ (* -1/6 (* tau tau)) -1/6)>
#<alt (* (* (PI) tau) x)>
#<alt (pow (PI) 4)>
#<alt (+ (* (* tau tau) (* tau tau)) 1)>
#<alt (* (sin (* x (PI))) (sin (* x (* (PI) tau))))>
#<alt (* (PI) (* x x))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (* (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))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (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)))))>
#<alt (* (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)))))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* x (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* -1/6 (* x (pow (PI) 2)))>
#<alt (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))))>
#<alt (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))))>
#<alt (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* x (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* x (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2)))))>
#<alt (* -1/6 (pow (PI) 2))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (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 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)))>
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#<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 -1/6>
#<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 (* 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 tau 4))>
#<alt (+ 1 (pow tau 4))>
#<alt (+ 1 (pow tau 4))>
#<alt (pow tau 4)>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (pow tau 4)>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
#<alt (* (pow x 2) (PI))>
Calls

126 calls:

TimeVariablePointExpression
34.0ms
x
@-inf
(* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
7.0ms
tau
@inf
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
1.0ms
tau
@0
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
1.0ms
tau
@inf
(+ (* x (* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
1.0ms
tau
@-inf
(* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))

rewrite597.0ms (4%)

Memory
8.7MiB live, 706.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 852×accelerator-lowering-fma.f32
5 852×accelerator-lowering-fma.f64
4 414×*-lowering-*.f32
4 414×*-lowering-*.f64
3 536×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
047313
1274291
22235287
08143271
Stop Event
1×iter limit
1×node limit
Counts
29 → 995
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau))))))
(sin (* x (PI)))
(* x (PI))
(PI)
(+ (* x (* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(* x (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(* (/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x)) 1)
(/ (sin (* (* x (PI)) tau)) (* (* (PI) tau) x))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(* x x)
(+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* (/ 1 (* tau (* (PI) (* (PI) (* x x))))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))
(/ 1 (* tau (* (PI) (* (PI) (* x x)))))
(* tau (* (PI) (* (PI) (* x x))))
(* (PI) (* (PI) (* x x)))
(* (* x (PI)) (/ (* x (* (PI) tau)) (sin (* x (* (PI) tau)))))
(* (PI) tau)
(sin (* x (* (PI) tau)))
(+ (* -1/6 (* tau tau)) -1/6)
(* (* (PI) tau) x)
(pow (PI) 4)
(+ (* (* tau tau) (* tau tau)) 1)
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(* (PI) (* x x))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 tau (*.f32 (PI.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 tau (*.f32 (PI.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 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.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 (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.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 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) tau) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) 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 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x x)) (/.f32 (*.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) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.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) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal -1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) (*.f32 (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 2 binary32)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal -1 binary32)) (*.f32 #s(literal 2 binary32) (neg.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))))
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(*.f32 (*.f32 x x) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x x)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x x)))
(*.f32 (*.f32 (sqrt.f32 (PI.f32)) x) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify777.0ms (5.2%)

Memory
-6.9MiB live, 986.2MiB allocated
Algorithm
1×egg-herbie
Rules
20 270×accelerator-lowering-fma.f32
20 270×accelerator-lowering-fma.f64
8 514×*-lowering-*.f32
8 514×*-lowering-*.f64
5 276×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04487808
115287576
259097312
090486981
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
1
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(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
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(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
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(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))
(+ (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(+ (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(+ (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
(/ (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 (* (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))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (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))
(* x (PI))
(* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(* x (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3)))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* x (PI))
(+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(+ (* x (PI)) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
-1/6
(- (* -1/6 (pow tau 2)) 1/6)
(- (* -1/6 (pow tau 2)) 1/6)
(- (* -1/6 (pow tau 2)) 1/6)
(* -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))))))
(* -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))))))
(* 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 (pow tau 4))
(+ 1 (pow tau 4))
(+ 1 (pow tau 4))
(pow tau 4)
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(pow tau 4)
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
(* (pow x 2) (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (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 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(+ 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))))))))))))))
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(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (*.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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
-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))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 x 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 (*.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 (*.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 1/36 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 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 (*.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 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 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.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)))))) (* 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 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.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 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 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))))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))
(* (pow x 2) (PI))
(*.f32 x (*.f32 x (PI.f32)))

eval240.0ms (1.6%)

Memory
3.6MiB live, 547.2MiB allocated
Compiler

Compiled 78 666 to 5 545 computations (93% saved)

prune402.0ms (2.7%)

Memory
-7.9MiB live, 726.2MiB allocated
Pruning

71 alts after pruning (69 fresh and 2 done)

PrunedKeptTotal
New2 315512 366
Fresh111829
Picked505
Done123
Total2 332712 403
Accuracy
100.0%
Counts
2 403 → 71
Alt Table
Click to see full alt table
StatusAccuracyProgram
88.1%
(fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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)))) (*.f32 x x) #s(literal 1 binary32))
82.0%
(fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
88.0%
(fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32)))
65.8%
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))) x #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
87.3%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
▶88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (*.f32 x (*.f32 x (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))
88.1%
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))
88.1%
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
71.9%
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
82.0%
(fma.f32 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
71.9%
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)))))) #s(literal 1 binary32))
71.9%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
71.9%
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
▶65.8%
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
72.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
72.3%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
96.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
81.1%
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
87.8%
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
72.3%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
97.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
80.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
72.3%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
81.3%
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
87.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))
87.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
71.8%
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
71.6%
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
87.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
✓97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
72.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (sin.f32 (*.f32 x (PI.f32))))
72.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
▶72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
▶97.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
72.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
87.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
72.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
68.2%
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))))
13.7%
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
4.1%
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
93.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
87.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) (*.f32 x tau))))
▶97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
✓64.9%
#s(literal 1 binary32)
Compiler

Compiled 3 832 to 2 208 computations (42.4% saved)

simplify617.0ms (4.2%)

Memory
9.2MiB live, 599.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 tau (PI.f32))
✓cost-diff0
(*.f32 x (*.f32 tau (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
✓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))) tau)
✓cost-diff352
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
✓cost-diff320
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓cost-diff320
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
✓cost-diff0
(*.f32 (PI.f32) (PI.f32))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
✓cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
✓cost-diff0
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
Rules
11 826×accelerator-lowering-fma.f32
11 826×accelerator-lowering-fma.f64
5 046×*-lowering-*.f32
5 046×*-lowering-*.f64
3 544×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048422
1150398
2575388
32650388
46005388
56666388
66689388
76689388
87771388
08097372
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ 1 (* (* x (* (PI) tau)) (* x (PI)))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))
(/ 1 (* (* x (* (PI) tau)) (* x (PI))))
1
(* (* x (* (PI) tau)) (* x (PI)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* x (PI))
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(sin (* x (PI)))
(sin (* x (* (PI) tau)))
(+ (* x (* -1/6 (* x (* (PI) (PI))))) 1)
x
(* -1/6 (* x (* (PI) (PI))))
-1/6
(* x (* (PI) (PI)))
(* (PI) (PI))
(PI)
1
(+ (* (* x x) (+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(* x x)
x
(+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(* (* (PI) (* (PI) (PI))) (PI))
(* (PI) (* (PI) (PI)))
(PI)
(* (PI) (PI))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* tau tau) (* tau tau)) 1)
(* tau tau)
tau
1
1/120
(* (* tau tau) 1/36)
1/36
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(+ (* -1/6 (* tau tau)) -1/6)
-1/6
(* (/ (sin (* x (* (PI) tau))) tau) (/ 1 (* x (PI))))
(/ (sin (* x (* (PI) tau))) tau)
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(/ 1 (* x (PI)))
1
(* x (PI))
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x))))
(sin (* x (* tau (PI))))
(* x (* tau (PI)))
x
(* tau (PI))
tau
(PI)
(/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x)))
(sin (* x (PI)))
(* x (PI))
(* (PI) (* (* x (* (PI) tau)) x))
(* (* x (* (PI) tau)) x)
(* x (* (PI) tau))
(* (PI) tau)
Outputs
(* (/ 1 (* (* x (* (PI) tau)) (* x (PI)))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/ 1 (* (* x (* (PI) tau)) (* x (PI))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
1
#s(literal 1 binary32)
(* (* x (* (PI) tau)) (* x (PI)))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* x (PI))
(*.f32 x (PI.f32))
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(+ (* x (* -1/6 (* x (* (PI) (PI))))) 1)
(fma.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
x
(* -1/6 (* x (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))
-1/6
#s(literal -1/6 binary32)
(* x (* (PI) (PI)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
1
#s(literal 1 binary32)
(+ (* (* x x) (+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (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)))
(* (* (PI) (* (PI) (PI))) (PI))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(PI)
(PI.f32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(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))
(+ (* (* tau tau) (* tau tau)) 1)
(fma.f32 tau (*.f32 tau (*.f32 tau tau)) #s(literal 1 binary32))
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
1/120
#s(literal 1/120 binary32)
(* (* tau tau) 1/36)
(*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))
1/36
#s(literal 1/36 binary32)
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(+ (* -1/6 (* tau tau)) -1/6)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* (/ (sin (* x (* (PI) tau))) tau) (/ 1 (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/ (sin (* x (* (PI) tau))) tau)
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau)
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(* x (PI))
(*.f32 x (PI.f32))
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(sin (* x (* tau (PI))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* tau (PI)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* tau (PI))
(*.f32 (PI.f32) tau)
tau
(PI)
(PI.f32)
(/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (PI) (* (* x (* (PI) tau)) x))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(* (* x (* (PI) tau)) x)
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)

localize374.0ms (2.5%)

Memory
-6.1MiB live, 317.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 tau (PI.f32))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x)))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
✓accuracy99.1%
(*.f32 x (*.f32 (PI.f32) tau))
✓accuracy99.1%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
✓accuracy98.6%
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓accuracy98.6%
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
✓accuracy96.9%
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.8%
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
✓accuracy98.8%
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
✓accuracy98.8%
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.9%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
Samples
247.0ms256×0valid
Compiler

Compiled 415 to 50 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 227.0ms
ival-mult: 128.0ms (56.4% of total)
const: 74.0ms (32.6% of total)
ival-sin: 9.0ms (4% of total)
ival-div: 8.0ms (3.5% of total)
ival-add: 6.0ms (2.6% 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)

series44.0ms (0.3%)

Memory
0.3MiB live, 39.4MiB allocated
Counts
25 → 456
Calls
Call 1
Inputs
#<alt (* (/ 1 (* (* x (* (PI) tau)) (* x (PI)))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))>
#<alt (/ 1 (* (* x (* (PI) tau)) (* x (PI))))>
#<alt (* (* x (* (PI) tau)) (* x (PI)))>
#<alt (* x (* (PI) tau))>
#<alt (+ (* x (* -1/6 (* x (* (PI) (PI))))) 1)>
#<alt (* -1/6 (* x (* (PI) (PI))))>
#<alt (* x (* (PI) (PI)))>
#<alt (* (PI) (PI))>
#<alt (+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))>
#<alt (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))>
#<alt (+ (* (* x x) (+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)>
#<alt (* x x)>
#<alt (* (/ (sin (* x (* (PI) tau))) tau) (/ 1 (* x (PI))))>
#<alt (/ (sin (* x (* (PI) tau))) tau)>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x))))>
#<alt (sin (* x (* tau (PI))))>
#<alt (* x (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* (sin (* x (PI))) (sin (* x (* (PI) tau))))>
#<alt (* (PI) tau)>
#<alt (* (* (PI) (* (PI) (PI))) (PI))>
#<alt (+ (* (* tau tau) (* tau tau)) 1)>
#<alt (/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x)))>
#<alt (* (PI) (* (* x (* (PI) tau)) x))>
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 (/ 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 (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 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* x (pow (PI) 2)))>
#<alt (* -1/6 (* x (pow (PI) 2)))>
#<alt (* -1/6 (* x (pow (PI) 2)))>
#<alt (* -1/6 (* x (pow (PI) 2)))>
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#<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 (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt 1>
#<alt (+ 1 (pow tau 4))>
#<alt (+ 1 (pow tau 4))>
#<alt (+ 1 (pow tau 4))>
#<alt (pow tau 4)>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (pow tau 4)>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* 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)))>
Calls

114 calls:

TimeVariablePointExpression
0.0ms
x
@0
(* -1/6 (* x (* (PI) (PI))))
0.0ms
x
@inf
(* -1/6 (* x (* (PI) (PI))))
0.0ms
x
@inf
(/ (sin (* x (* (PI) tau))) tau)
0.0ms
x
@0
(/ (sin (* x (* (PI) tau))) tau)
0.0ms
x
@-inf
(/ (sin (* x (* (PI) tau))) tau)

rewrite966.0ms (6.5%)

Memory
20.5MiB live, 963.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 880×accelerator-lowering-fma.f32
5 880×accelerator-lowering-fma.f64
4 578×*-lowering-*.f32
4 578×*-lowering-*.f64
3 830×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048284
1278266
22377252
08546240
Stop Event
1×iter limit
1×node limit
Counts
25 → 900
Calls
Call 1
Inputs
(* (/ 1 (* (* x (* (PI) tau)) (* x (PI)))) (* (sin (* x (PI))) (sin (* x (* (PI) tau)))))
(/ 1 (* (* x (* (PI) tau)) (* x (PI))))
(* (* x (* (PI) tau)) (* x (PI)))
(* x (* (PI) tau))
(+ (* x (* -1/6 (* x (* (PI) (PI))))) 1)
(* -1/6 (* x (* (PI) (PI))))
(* x (* (PI) (PI)))
(* (PI) (PI))
(+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* x x) (+ (* (* x x) (* (* (* (PI) (* (PI) (PI))) (PI)) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
(* x x)
(* (/ (sin (* x (* (PI) tau))) tau) (/ 1 (* x (PI))))
(/ (sin (* x (* (PI) tau))) tau)
(sin (* x (* (PI) tau)))
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x))))
(sin (* x (* tau (PI))))
(* x (* tau (PI)))
(* tau (PI))
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(* (PI) tau)
(* (* (PI) (* (PI) (PI))) (PI))
(+ (* (* tau tau) (* tau tau)) 1)
(/ (sin (* x (PI))) (* (PI) (* (* x (* (PI) tau)) x)))
(* (PI) (* (* x (* (PI) tau)) x))
Outputs
(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))
(-.f32 (/.f32 (/.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 (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 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32))))
(/.f32 #s(literal 1 binary32) (/.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)))))))
(/.f32 #s(literal 1 binary32) (/.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)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)) (*.f32 #s(literal 1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 #s(literal -1 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 2 binary32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32))))) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (PI.f32))) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.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))))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.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 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.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 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (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 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (neg.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))))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
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(*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) x)
(*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x tau) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)
(*.f32 (*.f32 (*.f32 x (PI.f32)) x) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify517.0ms (3.5%)

Memory
15.1MiB live, 1 306.0MiB allocated
Algorithm
1×egg-herbie
Rules
20 244×accelerator-lowering-fma.f32
20 244×accelerator-lowering-fma.f64
7 192×*-lowering-*.f32
7 192×*-lowering-*.f64
6 446×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03996768
113126614
248576420
083326152
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (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))))
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(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
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(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
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(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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1
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(* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
1/120
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(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
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(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* 1/120 (pow tau 4))
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(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
1
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
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(+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))
(* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(* (pow x 4) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
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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))))
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(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
1
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(+ 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))))
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(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))))))
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(* x (PI))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))
(+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))))
(+ (* 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)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(/ (sin (* tau (* x (PI)))) tau)
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (PI)))
(* x (+ (* -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)))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
1
(+ 1 (pow tau 4))
(+ 1 (pow tau 4))
(+ 1 (pow tau 4))
(pow tau 4)
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(pow tau 4)
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(/ 1 (* tau (* x (PI))))
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)
(/ (+ (* (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)
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
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 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #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 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 tau 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 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 (*.f32 x #s(literal -1/6 binary32)) (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 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
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1/120
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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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#s(literal 1 binary32)
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) (fma.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 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))))
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 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.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))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #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 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 tau 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 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 (*.f32 x #s(literal -1/6 binary32)) (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 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(* 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 (*.f32 #s(literal -1/6 binary32) (*.f32 tau 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 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau))) (*.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 7 binary32))) (pow.f32 tau #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 (*.f32 #s(literal -1/6 binary32) (*.f32 tau 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 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (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 #s(literal -1/6 binary32) (*.f32 x (*.f32 x 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)))))))))
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(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(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)))
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(* 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)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
(* tau (PI))
(*.f32 tau (PI.f32))
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(*.f32 tau (PI.f32))
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(*.f32 tau (PI.f32))
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(* tau (PI))
(*.f32 tau (PI.f32))
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(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
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(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (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))) (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 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (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))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (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 x (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.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 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x)))))))))
(* 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))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 7 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #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 (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
1
#s(literal 1 binary32)
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(/ 1 (* tau (* x (PI))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32))))
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (+ (* (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)
(/.f32 (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (/.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau))) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (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))))))
(/ (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))))))
(/ (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 (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.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)))))

eval161.0ms (1.1%)

Memory
-3.9MiB live, 382.0MiB allocated
Compiler

Compiled 54 514 to 3 159 computations (94.2% saved)

prune220.0ms (1.5%)

Memory
-27.0MiB live, 625.6MiB allocated
Pruning

61 alts after pruning (57 fresh and 4 done)

PrunedKeptTotal
New1 591231 614
Fresh303464
Picked325
Done022
Total1 624611 685
Accuracy
100.0%
Counts
1 685 → 61
Alt Table
Click to see full alt table
StatusAccuracyProgram
82.0%
(fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
65.8%
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))) x #s(literal 1 binary32))
65.8%
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
87.3%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
88.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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))
83.6%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
82.1%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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))
83.1%
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (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))
71.9%
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
71.9%
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
82.0%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
71.9%
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
65.8%
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
✓65.8%
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
71.9%
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
72.1%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
96.9%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
98.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
81.1%
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
87.8%
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
72.3%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
80.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
72.3%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
81.3%
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
87.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
87.7%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))))
71.6%
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
88.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
87.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
✓97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
72.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
72.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
72.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (sin.f32 (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
68.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)))
72.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
87.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
72.2%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
71.8%
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
65.0%
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.2%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
93.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
93.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
87.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
✓97.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
97.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
4.3%
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
✓64.9%
#s(literal 1 binary32)
Compiler

Compiled 4 608 to 1 346 computations (70.8% saved)

regimes141.0ms (1%)

Memory
8.4MiB live, 244.0MiB allocated
Counts
128 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x x) tau) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 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 (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (/.f32 #s(literal 1 binary32) (*.f32 #s(literal 2 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (/.f32 (-.f32 (cos.f32 (-.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (PI.f32) tau))))) #s(literal 2 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.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 (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:

37.0ms
x
34.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
33.0ms
(*.f32 x (PI.f32))
33.0ms
tau
Results
AccuracySegmentsBranch
98.3%1x
98.3%1tau
98.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes120.0ms (0.8%)

Memory
3.2MiB live, 200.7MiB allocated
Counts
104 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
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(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
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(fma.f32 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (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))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (*.f32 x (*.f32 x (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))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (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 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
Calls

4 calls:

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

Compiled 34 to 18 computations (47.1% saved)

regimes240.0ms (1.6%)

Memory
-3.4MiB live, 171.8MiB allocated
Counts
96 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (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 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
Outputs
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))
Calls

4 calls:

115.0ms
(*.f32 x (PI.f32))
50.0ms
tau
41.0ms
x
30.0ms
(*.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
97.8%1x
97.8%1tau
97.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes117.0ms (0.8%)

Memory
-10.4MiB live, 109.0MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))) x #s(literal 1 binary32))
(fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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)))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (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))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (*.f32 x (*.f32 x (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))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Calls

4 calls:

38.0ms
x
31.0ms
(*.f32 x (PI.f32))
24.0ms
tau
20.0ms
(*.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
93.6%1x
93.6%1tau
93.6%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))))
93.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes105.0ms (0.7%)

Memory
30.7MiB live, 107.4MiB allocated
Counts
82 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))) x #s(literal 1 binary32))
(fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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)))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (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))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (*.f32 x (*.f32 x (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))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Calls

4 calls:

38.0ms
tau
22.0ms
(*.f32 x (PI.f32))
20.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
20.0ms
x
Results
AccuracySegmentsBranch
93.6%1x
93.6%1(*.f32 x (PI.f32))
93.6%1tau
93.6%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)

regimes127.0ms (0.9%)

Memory
-12.4MiB live, 106.4MiB allocated
Counts
81 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))) x #s(literal 1 binary32))
(fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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)))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (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))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (*.f32 x (*.f32 x (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))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (*.f32 x x) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal -1/6 binary32)) x) (/.f32 #s(literal 1 binary32) x)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.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 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

45.0ms
tau
29.0ms
x
20.0ms
(*.f32 x (PI.f32))
20.0ms
(*.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
88.3%1x
88.3%1(*.f32 x (PI.f32))
88.3%1tau
88.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes93.0ms (0.6%)

Memory
14.9MiB live, 94.7MiB allocated
Counts
66 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))) x #s(literal 1 binary32))
(fma.f32 (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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)))) (*.f32 x x) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (+.f32 (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))) (*.f32 x x)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(fma.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 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))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (/.f32 #s(literal 1 binary32) x)))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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:

33.0ms
x
24.0ms
(*.f32 x (PI.f32))
17.0ms
tau
17.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
88.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.1%1x
88.1%1tau
88.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes53.0ms (0.4%)

Memory
-32.6MiB live, 44.7MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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))
Calls

4 calls:

13.0ms
tau
8.0ms
(*.f32 x (PI.f32))
8.0ms
x
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
83.6%1tau
83.6%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))))
83.6%1x
83.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes38.0ms (0.3%)

Memory
4.7MiB live, 43.3MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 x (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) x)) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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))
Calls

4 calls:

13.0ms
x
8.0ms
tau
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.1%1x
83.1%1(*.f32 x (PI.f32))
83.1%1tau
83.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes37.0ms (0.3%)

Memory
-5.2MiB live, 37.3MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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))
Calls

4 calls:

16.0ms
x
7.0ms
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))
Results
AccuracySegmentsBranch
82.1%1x
82.1%1(*.f32 x (PI.f32))
82.1%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))))
82.1%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes26.0ms (0.2%)

Memory
34.8MiB live, 34.8MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.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 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(/.f32 #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 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
Outputs
(fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

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

Compiled 34 to 18 computations (47.1% saved)

regimes35.0ms (0.2%)

Memory
-8.7MiB live, 30.2MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Outputs
(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:

21.0ms
(*.f32 x (PI.f32))
5.0ms
tau
5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
82.0%1x
82.0%1tau
82.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.0%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes27.0ms (0.2%)

Memory
-9.3MiB live, 29.4MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
Outputs
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
Calls

4 calls:

13.0ms
(*.f32 x (PI.f32))
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
tau
4.0ms
x
Results
AccuracySegmentsBranch
71.9%1x
71.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.9%1(*.f32 x (PI.f32))
71.9%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes37.0ms (0.2%)

Memory
-16.0MiB live, 22.8MiB allocated
Counts
9 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
Outputs
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
Calls

4 calls:

26.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
tau
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
71.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
71.9%1tau
71.9%1x
71.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes12.0ms (0.1%)

Memory
20.6MiB live, 20.6MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x #s(literal -1/6 binary32)) (*.f32 x (PI.f32))) (PI.f32) #s(literal 1 binary32))
(*.f32 (*.f32 x (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
Outputs
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
Calls

4 calls:

3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
3.0ms
tau
Results
AccuracySegmentsBranch
65.8%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))))
65.8%1tau
65.8%1x
65.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes6.0ms (0%)

Memory
12.7MiB live, 12.7MiB allocated
Accuracy

Total -19.7b remaining (-175.3%)

Threshold costs -19.7b (-175.3%)

Counts
2 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
Outputs
#s(literal 1 binary32)
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
1.0ms
(*.f32 x (PI.f32))
1.0ms
tau
1.0ms
x
Results
AccuracySegmentsBranch
64.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
64.9%1tau
64.9%1x
64.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify103.0ms (0.7%)

Memory
-12.6MiB live, 65.2MiB allocated
Algorithm
1×egg-herbie
Rules
758×distribute-lft-neg-in_binary32
446×neg-mul-1_binary32
438×neg-sub0_binary32
354×cancel-sign-sub_binary32
314×distribute-lft-neg-out_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
090364
1147364
2174364
3205362
4250362
5331362
6426362
7638362
81085362
91518362
101901362
112187362
122323362
132360362
142365362
152365362
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 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (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 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 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))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (sin.f32 (*.f32 x (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 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 (*.f32 x x) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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))) (*.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 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (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))) (*.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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #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 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 tau (*.f32 #s(literal 1/120 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))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) (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 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (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 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32)) #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 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 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))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
#s(literal 1 binary32)

soundness2.6s (17.8%)

Memory
-29.8MiB live, 1 616.5MiB allocated
Rules
24 608×accelerator-lowering-fma.f32
24 608×accelerator-lowering-fma.f64
20 270×accelerator-lowering-fma.f32
20 270×accelerator-lowering-fma.f64
20 244×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
04487808
115287576
259097312
090486981
03716718
112646567
250996399
083036202
047313
1274291
22235287
08143271
048284
1278266
22377252
08546240
01055
15555
247553
3647553
0810853
03996768
113126614
248576420
083326152
034229
1193221
21596209
08041209
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 926 to 402 computations (56.6% saved)

preprocess213.0ms (1.4%)

Memory
-0.4MiB live, 318.3MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 786 to 632 computations (64.6% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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