Lanczos kernel

Time bar (total: 14.5s)

analyze21.0ms (0.1%)

Memory
-21.2MiB live, 56.6MiB 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)

sample1.6s (10.9%)

Memory
24.1MiB live, 2 056.6MiB allocated
Samples
1.3s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 329.0ms (32.4% of total)
ival-mult: 172.0ms (16.9% of total)
ival-<=: 163.0ms (16% of total)
const: 155.0ms (15.2% of total)
ival-div: 133.0ms (13.1% of total)
ival-pi: 33.0ms (3.2% of total)
ival-and: 20.0ms (2% of total)
exact: 7.0ms (0.7% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess99.0ms (0.7%)

Memory
-19.4MiB live, 75.7MiB allocated
Algorithm
2×egg-herbie
Rules
1 002×distribute-neg-frac
956×neg-sub0
894×neg-mul-1
844×distribute-frac-neg2
840×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032136
1106136
2488128
32592128
45193128
56775128
67594128
77888128
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)))))
Call 2
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* x (* (PI) (* (PI) tau))))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* x (* (PI) (* (PI) tau))))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* x (* (PI) (* (PI) tau))))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* tau (neg x)))))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* tau (neg x)))))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* (PI) tau)) (* (PI) (* tau (* (PI) (* x tau))))))
Symmetry

(abs x)

(abs tau)

explain126.0ms (0.9%)

Memory
10.9MiB live, 208.4MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
sin.f32(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))cancellation10
Confusion
Predicted +Predicted -
+12
-0253
Precision
1.0
Recall
0.3333333333333333
Confusion?
Predicted +Predicted MaybePredicted -
+102
-01252
Precision?
0.5
Recall?
0.3333333333333333
Freqs
test
numberfreq
0255
11
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
46.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 32.0ms
ival-sin: 14.0ms (44.2% of total)
ival-mult: 8.0ms (25.2% of total)
ival-div: 6.0ms (18.9% of total)
ival-pi: 2.0ms (6.3% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.0%
(*.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))))
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify39.0ms (0.3%)

Memory
-19.8MiB live, 19.0MiB 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)))

localize48.0ms (0.3%)

Memory
-3.9MiB live, 33.8MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy99.0%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Samples
21.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 6.0ms (41.7% of total)
ival-mult: 4.0ms (27.8% of total)
ival-div: 3.0ms (20.9% of total)
ival-pi: 1.0ms (7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series31.0ms (0.2%)

Memory
-3.6MiB live, 37.4MiB 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
9.0ms
x
@0
(/ (sin (* x (PI))) (* x (PI)))
3.0ms
tau
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
2.0ms
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))))
2.0ms
x
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite402.0ms (2.8%)

Memory
21.9MiB live, 471.1MiB 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))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.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))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
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(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (sin.f32 (*.f32 x (PI.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))
(pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.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 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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))) (*.f32 x (sqrt.f32 (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.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 1/3 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32)))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (*.f32 #s(literal 1 binary32) (/.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 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) (sqrt.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 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 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) (neg.f32 (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 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 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)))) (pow.f32 (PI.f32) #s(literal 1/3 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)))) (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))) (-.f32 #s(literal 0 binary32) (*.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) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (/.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 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.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 (-.f32 #s(literal 0 binary32) (*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #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) (-.f32 #s(literal 0 binary32) (*.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))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (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)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.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))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (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))))

simplify570.0ms (3.9%)

Memory
7.9MiB live, 990.8MiB 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))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal -1/5040 binary32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (*.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x)) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) x))) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))

eval92.0ms (0.6%)

Memory
-9.9MiB live, 220.7MiB allocated
Compiler

Compiled 24 542 to 2 295 computations (90.6% saved)

prune395.0ms (2.7%)

Memory
-125.2MiB live, 436.2MiB allocated
Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New977361 013
Fresh000
Picked011
Done000
Total977371 014
Accuracy
99.8%
Counts
1 014 → 37
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(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))
79.7%
(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))
97.4%
(/.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))
67.8%
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
▶97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
97.5%
(/.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))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
67.8%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (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))
97.3%
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))))
97.3%
(/.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))))))
64.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.3%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))))
80.6%
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.7%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.1%
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.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))))
85.7%
(*.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)))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
✓98.0%
(*.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))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
▶97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
97.1%
(*.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))))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
97.1%
(*.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))))
▶97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
97.1%
(*.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)))))
▶97.0%
(*.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))))))))
97.0%
(*.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
97.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
▶63.9%
#s(literal 1 binary32)
Compiler

Compiled 1 799 to 998 computations (44.5% saved)

simplify125.0ms (0.9%)

Memory
24.8MiB live, 143.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) tau)
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff352
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
✓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))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓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))) (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
Rules
2 088×*-lowering-*.f32
2 088×*-lowering-*.f64
1 176×associate-*l/
1 140×times-frac
956×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029306
181306
2272306
31229306
42699306
53266306
63293306
73293306
83293306
93358306
103363306
113363306
124075306
134189306
144189306
04189306
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))))
(/ (sin (* x (* (PI) tau))) (* x (* (PI) tau)))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (PI)))
(* x (PI))
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))) (* x (* x (* (PI) tau)))) (/ (sin (* x (PI))) (PI)))
(/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* x (* x (* (PI) tau)))
(/ (sin (* x (PI))) (PI))
(sin (* x (PI)))
(* x (PI))
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))))
(/ 1 (* x (* (PI) tau)))
1
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI))))
(sin (* x (* (PI) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(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)))))
(* (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x 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) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
1
#s(literal 1 binary32)
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (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 (* tau (PI))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* tau (PI)))
(*.f32 (PI.f32) (*.f32 x 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 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 x) tau) (PI)))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(* (* (* x x) tau) (PI))
(*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))
(* (* x x) tau)
(*.f32 x (*.f32 x tau))
(* x x)
(*.f32 x x)
(* (/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau)))) (/ (sin (* x (PI))) (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 (* x (* (PI) tau))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.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) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* x (* x (* (PI) tau)))
(*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (/ 1 (* x (* (PI) tau))) (* (sin (* 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)))))
(/ 1 (* x (* (PI) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
1
#s(literal 1 binary32)
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x 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)))
(* x (PI))
(*.f32 x (PI.f32))

localize132.0ms (0.9%)

Memory
-17.5MiB live, 217.1MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
✓accuracy98.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))
✓accuracy98.8%
(*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))
✓accuracy98.8%
(*.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)))))
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
Samples
73.0ms256×0valid
Compiler

Compiled 310 to 31 computations (90% saved)

Precisions
Click to see histograms. Total time spent on operations: 41.0ms
ival-mult: 19.0ms (46.8% of total)
ival-div: 10.0ms (24.7% of total)
ival-sin: 10.0ms (24.7% of total)
ival-pi: 1.0ms (2.5% 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
13.7MiB live, 51.1MiB allocated
Counts
20 → 420
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))) (sin (* x (PI))))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (* (PI) tau)))>
#<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))) (* x (* x (* (PI) tau)))) (/ (sin (* x (PI))) (PI)))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau))))>
#<alt (* x (* (PI) tau))>
#<alt (* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))))>
#<alt (/ 1 (* x (* (PI) tau)))>
#<alt (* (PI) tau)>
#<alt (* x (PI))>
#<alt (* (PI) (* (* (* x x) tau) (PI)))>
#<alt (* (* (* x x) tau) (PI))>
#<alt (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (* 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 (* x (PI))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (sin (* x (PI)))>
#<alt (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))>
#<alt (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))>
#<alt (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 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)))>
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#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<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 (* 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 x)>
#<alt (/ (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) x)>
#<alt (/ (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) x)>
#<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)))))))) x)>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ 1 x)>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 4)))))) (/ 1 x))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 6)))) (* 1/120 (* (pow x 3) (pow (PI) 4))))))) (/ 1 x))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* 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))>
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#<alt (* x (PI))>
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#<alt (* x (PI))>
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#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* 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) (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 (/ 1 (* tau (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt x>
#<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))>
#<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)))>
Calls

105 calls:

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

rewrite340.0ms (2.3%)

Memory
13.6MiB live, 650.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 566×*-lowering-*.f32
4 566×*-lowering-*.f64
3 782×/-lowering-/.f32
3 782×/-lowering-/.f64
1 388×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
029209
1141209
21074209
37050209
08078209
Stop Event
1×iter limit
1×node limit
Counts
20 → 1 917
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))))
(/ (sin (* x (* (PI) tau))) (* x (* (PI) tau)))
(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))) (* x (* x (* (PI) tau)))) (/ (sin (* x (PI))) (PI)))
(/ (sin (* x (* (PI) tau))) (* x (* x (* (PI) tau))))
(* x (* (PI) tau))
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x (PI)))))
(/ 1 (* x (* (PI) tau)))
(* (PI) tau)
(* x (PI))
(* (PI) (* (* (* x x) tau) (PI)))
(* (* (* x x) tau) (PI))
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (* x (PI)))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))))
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x)))) (*.f32 (PI.f32) (*.f32 x tau))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (neg.f32 x))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x x)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (sqrt.f32 (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))) (sqrt.f32 (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 (PI.f32) (neg.f32 x)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau))))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (neg.f32 x)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (neg.f32 x))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x)) (neg.f32 (*.f32 (*.f32 (PI.f32) tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x)) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x)) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 x)) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 tau))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))) (/.f32 (*.f32 (PI.f32) (neg.f32 x)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))) (*.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 x)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (PI.f32))))
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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))
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(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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))) (*.f32 x (sqrt.f32 (PI.f32))))))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (neg.f32 x)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (neg.f32 x)))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))
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(*.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 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal -1 binary32) (PI.f32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 #s(literal 1 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 (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)))

simplify595.0ms (4.1%)

Memory
-6.6MiB live, 976.9MiB allocated
Algorithm
1×egg-herbie
Rules
17 266×accelerator-lowering-fma.f32
17 266×accelerator-lowering-fma.f64
6 426×*-lowering-*.f32
6 426×*-lowering-*.f64
5 254×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03165976
110125872
238605746
371585742
080425566
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
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))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))) x)
(/ (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))) x)
(/ (+ 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)))))))) x)
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
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(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
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(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
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(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ 1 x)
(+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 4)))))) (/ 1 x))
(+ (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 6)))) (* 1/120 (* (pow x 3) (pow (PI) 4))))))) (/ 1 x))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (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)))
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(* tau (* x (PI)))
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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))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
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(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
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(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(* tau (PI))
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(* tau (PI))
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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)))
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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)))
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(/ 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))))
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))
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)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 tau tau)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 tau (*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(* x (PI))
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(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
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(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
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(sin (* x (PI)))
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(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
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#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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1
#s(literal 1 binary32)
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1
#s(literal 1 binary32)
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x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
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1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
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eval256.0ms (1.8%)

Memory
51.8MiB live, 578.2MiB allocated
Compiler

Compiled 74 372 to 4 236 computations (94.3% saved)

prune306.0ms (2.1%)

Memory
0.4MiB live, 734.2MiB allocated
Pruning

45 alts after pruning (40 fresh and 5 done)

PrunedKeptTotal
New3 081253 106
Fresh161531
Picked145
Done011
Total3 098453 143
Accuracy
99.9%
Counts
3 143 → 45
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.1%
(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))
▶79.7%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
67.8%
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
▶80.5%
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
✓97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
67.8%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
97.3%
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
▶96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 x x))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
78.9%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
64.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
80.6%
(*.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))))
85.7%
(*.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)))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
✓98.0%
(*.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))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
✓97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
85.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))))
70.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
97.1%
(*.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))))
▶97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
85.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
✓97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
70.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
64.7%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
79.7%
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.7%
(*.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.8%
(*.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)))))
▶96.8%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
91.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
85.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
97.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (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))))))))
97.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
✓63.9%
#s(literal 1 binary32)
Compiler

Compiled 2 075 to 1 187 computations (42.8% saved)

simplify248.0ms (1.7%)

Memory
-12.5MiB live, 340.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
✓cost-diff192
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 x x))
✓cost-diff0
(*.f32 x tau)
✓cost-diff0
(*.f32 (*.f32 x tau) (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓cost-diff0
(*.f32 tau tau)
✓cost-diff0
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
✓cost-diff0
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
✓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 x)
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
✓cost-diff704
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
Rules
4 466×*-lowering-*.f32
4 466×*-lowering-*.f64
2 928×accelerator-lowering-fma.f32
2 928×accelerator-lowering-fma.f64
2 918×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043404
1137396
2442388
31675388
43560388
53748388
63979388
74732388
84933388
95009388
105245388
115245388
125335388
135384388
145433388
155433388
165433388
177580388
08033381
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI))))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* x (PI))
(/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI)))))
(/ 1 (* x (* (PI) tau)))
1
(/ 1 (sin (* x (PI))))
(sin (* x (PI)))
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
(* x x)
x
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(PI)
(+ (* -1/6 (* tau tau)) -1/6)
-1/6
(* tau tau)
tau
1
(/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))
(* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI))))
(+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1)
(* tau tau)
tau
(* (* x x) (* -1/6 (* (PI) (PI))))
(* x x)
x
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(PI)
1
(sin (* x (PI)))
(* x (PI))
(* (sin (* (* x tau) (PI))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(sin (* (* x tau) (PI)))
(* (* x tau) (PI))
(* x tau)
x
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 (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau)))) (* x x))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (sin (* x (PI))) (* (PI) (* (PI) tau)))
(sin (* x (PI)))
(* x (PI))
(* (PI) (* (PI) tau))
(* (PI) tau)
(* x x)
Outputs
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.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))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* x (PI))
(*.f32 x (PI.f32))
(/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ 1 (* x (* (PI) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
1
#s(literal 1 binary32)
(/ 1 (sin (* x (PI))))
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
(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))
(* x x)
(*.f32 x x)
x
(* (* (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))))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(+ (* -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)
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
(/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)))
(+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1)
(fma.f32 (*.f32 x x) (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(* tau tau)
(*.f32 tau tau)
tau
(* (* x x) (* -1/6 (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(* x x)
(*.f32 x x)
x
(* -1/6 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
1
#s(literal 1 binary32)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (sin (* (* x tau) (PI))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(sin (* (* x tau) (PI)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (* x tau) (PI))
(*.f32 (PI.f32) (*.f32 x tau))
(* x tau)
(*.f32 x tau)
x
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 (PI.f32) (*.f32 x 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 (PI.f32) (*.f32 x tau))))
(* (* (* x x) tau) (PI))
(*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))
(* (* x x) tau)
(*.f32 tau (*.f32 x x))
(* x x)
(*.f32 x x)
(/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau)))) (* x x))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(sin (* (PI) (* x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (PI) (* x tau))
(*.f32 (PI.f32) (*.f32 x tau))
(PI)
(PI.f32)
(* x tau)
(*.f32 x tau)
x
tau
(/ (sin (* x (PI))) (* (PI) (* (PI) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (PI) (* (PI) tau))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(* x x)
(*.f32 x x)

localize185.0ms (1.3%)

Memory
6.6MiB live, 288.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 x x))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
✓accuracy98.8%
(*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))
✓accuracy98.8%
(*.f32 (*.f32 x tau) (PI.f32))
✓accuracy98.6%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓accuracy99.2%
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy98.6%
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.7%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓accuracy98.9%
(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)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
✓accuracy98.9%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
Samples
94.0ms256×0valid
Compiler

Compiled 391 to 45 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 75.0ms
ival-mult: 31.0ms (41.5% of total)
ival-sin: 13.0ms (17.4% of total)
ival-pi: 12.0ms (16.1% of total)
ival-div: 12.0ms (16.1% of total)
const: 4.0ms (5.4% of total)
ival-add: 3.0ms (4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series42.0ms (0.3%)

Memory
0.6MiB live, 74.2MiB allocated
Counts
25 → 504
Calls
Call 1
Inputs
#<alt (/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI)))))>
#<alt (* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI))))))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (PI)))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)>
#<alt (* x x)>
#<alt (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))>
#<alt (* (PI) (PI))>
#<alt (/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))>
#<alt (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI))))>
#<alt (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1)>
#<alt (* tau tau)>
#<alt (* (sin (* (* x tau) (PI))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))>
#<alt (sin (* (* x tau) (PI)))>
#<alt (* (* x tau) (PI))>
#<alt (* x tau)>
#<alt (/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau)))) (* x x))>
#<alt (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau))))>
#<alt (sin (* (PI) (* x tau)))>
#<alt (* (PI) (* x tau))>
#<alt (+ (* -1/6 (* tau tau)) -1/6)>
#<alt (* x (PI))>
#<alt (* (PI) (* (* (* x x) tau) (PI)))>
#<alt (* (* (* x x) tau) (PI))>
#<alt (* (PI) (* (PI) tau))>
Outputs
#<alt (/ 1 tau)>
#<alt (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))>
#<alt (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))>
#<alt (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* tau (* x (PI))))>
#<alt (/ (sin (* x (PI))) (* 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>
#<alt (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt tau>
#<alt (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))>
#<alt (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))>
#<alt (* tau (+ 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)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 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 (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 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 (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (/ (sin (* x (PI))) (* (pow tau 2) (* x (PI))))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
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#<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 -1/6>
#<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 (* 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 (* 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) (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 (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
Calls

126 calls:

TimeVariablePointExpression
10.0ms
x
@-inf
(/ (sin (* x (* (PI) tau))) (* x (PI)))
3.0ms
tau
@0
(* (PI) (* (PI) tau))
1.0ms
x
@inf
(/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))
1.0ms
x
@-inf
(/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))
1.0ms
tau
@0
(/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))

rewrite347.0ms (2.4%)

Memory
5.8MiB live, 795.8MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 952×*-lowering-*.f32
4 952×*-lowering-*.f64
4 774×accelerator-lowering-fma.f32
4 774×accelerator-lowering-fma.f64
3 624×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
043266
1246250
21870244
08233237
Stop Event
1×iter limit
1×node limit
Counts
25 → 943
Calls
Call 1
Inputs
(/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI)))))
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (/ 1 (* x (* (PI) tau))) (/ 1 (sin (* x (PI))))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(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))
(/ (* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI)))) (* x (PI)))
(* (+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1) (sin (* x (PI))))
(+ (* (* tau tau) (* (* x x) (* -1/6 (* (PI) (PI))))) 1)
(* tau tau)
(* (sin (* (* x tau) (PI))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(sin (* (* x tau) (PI)))
(* (* x tau) (PI))
(* x tau)
(/ (* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau)))) (* x x))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* (PI) (* (PI) tau))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(+ (* -1/6 (* tau tau)) -1/6)
(* x (PI))
(* (PI) (* (* (* x x) tau) (PI)))
(* (* (* x x) tau) (PI))
(* (PI) (* (PI) tau))
Outputs
(neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(exp.f32 (-.f32 (*.f32 (log.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal -1 binary32)) (*.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) x)) (neg.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 x (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 #s(literal -1 binary32) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) x) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x tau)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(pow.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
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(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (+.f32 #s(literal 1/36 binary32) (*.f32 #s(literal -1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (neg.f32 (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32)) (pow.f32 (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (fma.f32 (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))))
(/.f32 (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (*.f32 (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) (+.f32 (/.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1/36 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(*.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal 1/36 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(*.f32 (neg.f32 (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32)))))))
(*.f32 (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(*.f32 (+.f32 #s(literal 1/36 binary32) (*.f32 #s(literal -1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (+.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)))))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) x))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(neg.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))
(*.f32 (*.f32 x (*.f32 x tau)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32))
(/.f32 x (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 x x))
(*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 x tau))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 x tau))))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) (*.f32 x x)) tau)
(*.f32 (*.f32 (*.f32 x (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 x (*.f32 x tau)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (neg.f32 tau)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) tau)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) tau)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) tau)

simplify761.0ms (5.2%)

Memory
17.0MiB live, 1 409.7MiB allocated
Algorithm
1×egg-herbie
Rules
22 010×accelerator-lowering-fma.f32
22 010×accelerator-lowering-fma.f64
7 228×*-lowering-*.f32
7 228×*-lowering-*.f64
5 678×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03497074
111576888
243576717
080416458
Stop Event
1×iter limit
1×node limit
Counts
504 → 504
Calls
Call 1
Inputs
(/ 1 tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/ (sin (* x (PI))) (* 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
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 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)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
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(pow x 2)
(* (pow x 2) (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(* (pow x 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)))))))))))
(* (pow x 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))) (* (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 (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* x (sin (* x (PI)))) (PI))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (PI) (sin (* x (PI))))))) (/ (* x (sin (* x (PI)))) (PI)))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (* x (sin (* x (PI)))) (PI)))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (* x (sin (* x (PI)))) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (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)))
-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))))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* 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) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (* (pow x 2) (PI)))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
Outputs
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau) (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau)))) (/.f32 #s(literal 1 binary32) tau))
(+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 6)) tau)) (* 1/120 (/ (pow (PI) 4) tau)))))) (/ 1 tau))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) tau) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) tau))) (*.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau))) (/.f32 #s(literal 1 binary32) tau))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* x (PI))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (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 tau (*.f32 tau #s(literal -1/6 binary32)) #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 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #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 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 (*.f32 x x) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 #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 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
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(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
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(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
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tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
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1
#s(literal 1 binary32)
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(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 (*.f32 x x) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 #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 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(pow x 2)
(*.f32 x x)
(* (pow x 2) (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x)
(* (pow x 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)))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32)))
(* (pow x 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))) (* (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)))))))))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))))) #s(literal 1 binary32)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* x (sin (* x (PI)))) (PI))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (PI) (sin (* x (PI))))))) (/ (* x (sin (* x (PI)))) (PI)))
(fma.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (* x (sin (* x (PI)))) (PI)))
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(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (* x (sin (* x (PI)))) (PI)))
(fma.f32 tau (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 7 binary32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (PI.f32))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (pow (PI) 2)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
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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)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.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 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.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 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (fma.f32 x (PI.f32) (*.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* 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)))
-1/6
#s(literal -1/6 binary32)
(- (* -1/6 (pow tau 2)) 1/6)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(- (* -1/6 (pow tau 2)) 1/6)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(- (* -1/6 (pow tau 2)) 1/6)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* -1/6 (pow tau 2))
(*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* -1/6 (pow tau 2))
(*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.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) (PI)))
(*.f32 tau (*.f32 (*.f32 x x) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))

eval199.0ms (1.4%)

Memory
33.9MiB live, 538.1MiB allocated
Compiler

Compiled 47 626 to 3 260 computations (93.2% saved)

prune244.0ms (1.7%)

Memory
-16.7MiB live, 866.8MiB allocated
Pruning

63 alts after pruning (59 fresh and 4 done)

PrunedKeptTotal
New1 734361 770
Fresh122335
Picked325
Done325
Total1 752631 815
Accuracy
99.9%
Counts
1 815 → 63
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
79.7%
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
79.7%
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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))
79.7%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
80.9%
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (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))
86.1%
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
79.7%
(fma.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
79.7%
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
▶79.7%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
70.1%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #s(literal 1 binary32))
65.3%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
▶65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
79.2%
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
67.8%
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
80.5%
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
67.8%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
79.2%
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
97.3%
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
80.2%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
78.9%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
64.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
79.1%
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
79.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
79.7%
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
85.7%
(*.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)))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
70.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
▶97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
✓97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
85.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))))
70.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
85.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
✓97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
▶85.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
70.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
97.1%
(*.f32 (*.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) tau)) (*.f32 x x))))
4.2%
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
79.6%
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.7%
(*.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
✓96.8%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.8%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
91.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
85.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
80.5%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 x (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
97.6%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
96.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
▶97.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
4.2%
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
✓63.9%
#s(literal 1 binary32)
Compiler

Compiled 3 168 to 1 769 computations (44.2% saved)

simplify304.0ms (2.1%)

Memory
4.6MiB live, 857.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff0
(neg.f32 (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff32
(-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))
✓cost-diff128
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) tau)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
✓cost-diff128
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
✓cost-diff160
(*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))
✓cost-diff448
(-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32)))
✓cost-diff864
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32)))
✓cost-diff32
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.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))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
Rules
7 052×accelerator-lowering-fma.f32
7 052×accelerator-lowering-fma.f64
6 174×*-lowering-*.f32
6 174×*-lowering-*.f64
2 048×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049539
1166505
2658439
33352427
46482427
08406410
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau)))) (sin (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* (* x (PI)) (* x (* (PI) tau)))
(* x (PI))
(sin (* x (PI)))
(+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1)
-1/6
(* (PI) (* (* x x) (PI)))
(PI)
(* (* x x) (PI))
(* x x)
x
1
(+ (* (* x x) (* (* (PI) (PI)) (/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))))) 1)
(* x x)
x
(* (* (PI) (PI)) (/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))))
(* (PI) (PI))
(PI)
(/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6)))
(- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36))
(* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6))
(* (* tau tau) (* (* tau tau) 1/36))
(* tau tau)
tau
(* (* tau tau) 1/36)
1/36
(+ (* tau (* tau -1/6)) 1/6)
(* tau -1/6)
-1/6
1/6
(* (+ (* tau (* tau -1/6)) 1/6) 1/36)
(* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))
1
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))
(/ 1 (* x (* (PI) tau)))
1
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1))
(sin (* x (* (PI) tau)))
(+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)
(* x x)
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(* (neg (sin (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* (PI) (* x (* tau (- 0 (* x (PI))))))))
(neg (sin (* x (PI))))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(/ (sin (* x (* (PI) tau))) (* (PI) (* x (* tau (- 0 (* x (PI)))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
tau
(* (PI) (* x (* tau (- 0 (* x (PI))))))
(* x (* tau (- 0 (* x (PI)))))
(* tau (- 0 (* x (PI))))
(- 0 (* x (PI)))
0
Outputs
(* (/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau)))) (sin (* x (PI))))
(fma.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32))) (fma.f32 tau (*.f32 x (*.f32 (PI.f32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) #s(literal 0 binary32))) #s(literal 0 binary32))
(/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau))))
(/.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))) (fma.f32 tau (*.f32 x (*.f32 (PI.f32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) #s(literal 0 binary32)))
(sin (* x (* (PI) tau)))
(sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32)))
(* x (* (PI) tau))
(fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* (* x (PI)) (* x (* (PI) tau)))
(fma.f32 tau (*.f32 x (*.f32 (PI.f32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) #s(literal 0 binary32))
(* x (PI))
(fma.f32 x (PI.f32) #s(literal 0 binary32))
(sin (* x (PI)))
(sin.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)))
(+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1)
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
-1/6
#s(literal -1/6 binary32)
(* (PI) (* (* x x) (PI)))
(*.f32 x (*.f32 (PI.f32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))
(PI)
(PI.f32)
(* (* x x) (PI))
(*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))
(* x x)
(*.f32 x x)
x
1
#s(literal 1 binary32)
(+ (* (* x x) (* (* (PI) (PI)) (/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))))) 1)
(fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 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
(* (* (PI) (PI)) (/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6)))
(/.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36))
(*.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/216 binary32) #s(literal 1/216 binary32)) (fma.f32 tau (*.f32 tau (*.f32 tau tau)) #s(literal -1 binary32)))
(* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6))
(fma.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/216 binary32) #s(literal 1/216 binary32)) (*.f32 tau (*.f32 tau (*.f32 tau tau))) #s(literal 0 binary32))
(* (* tau tau) (* (* tau tau) 1/36))
(*.f32 (*.f32 tau tau) (*.f32 tau (*.f32 tau #s(literal 1/36 binary32))))
(* tau tau)
(*.f32 tau tau)
tau
(* (* tau tau) 1/36)
(*.f32 tau (*.f32 tau #s(literal 1/36 binary32)))
1/36
#s(literal 1/36 binary32)
(+ (* tau (* tau -1/6)) 1/6)
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
(* tau -1/6)
(*.f32 tau #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
1/6
#s(literal 1/6 binary32)
(* (+ (* tau (* tau -1/6)) 1/6) 1/36)
(fma.f32 (*.f32 tau tau) #s(literal -1/216 binary32) #s(literal 1/216 binary32))
(* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))
(*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
1
#s(literal 1 binary32)
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))
(/.f32 (*.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32)))
(/ 1 (* x (* (PI) tau)))
(/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32)))
1
#s(literal 1 binary32)
(* x (* (PI) tau))
(fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1))
(*.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(sin (* x (* (PI) tau)))
(sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32)))
(+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
(* -1/6 (* (PI) (PI)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (neg (sin (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* (PI) (* x (* tau (- 0 (* x (PI))))))))
(fma.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))) (/.f32 (sin.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32))) (fma.f32 tau (*.f32 x (*.f32 (PI.f32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) #s(literal 0 binary32))) #s(literal 0 binary32))
(neg (sin (* x (PI))))
(neg.f32 (sin.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32))))
(sin (* x (PI)))
(sin.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)))
(* x (PI))
(fma.f32 x (PI.f32) #s(literal 0 binary32))
x
(PI)
(PI.f32)
(/ (sin (* x (* (PI) tau))) (* (PI) (* x (* tau (- 0 (* x (PI)))))))
(/.f32 (sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))) (fma.f32 x (fma.f32 (*.f32 (PI.f32) tau) (fma.f32 (PI.f32) (neg.f32 x) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32)))
(sin (* x (* (PI) tau)))
(sin.f32 (fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32)))
(* x (* (PI) tau))
(fma.f32 x (*.f32 (PI.f32) tau) #s(literal 0 binary32))
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(* (PI) (* x (* tau (- 0 (* x (PI))))))
(fma.f32 x (fma.f32 (*.f32 (PI.f32) tau) (fma.f32 (PI.f32) (neg.f32 x) #s(literal 0 binary32)) #s(literal 0 binary32)) #s(literal 0 binary32))
(* x (* tau (- 0 (* x (PI)))))
(fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (*.f32 x (neg.f32 tau)) #s(literal 0 binary32))
(* tau (- 0 (* x (PI))))
(fma.f32 x (*.f32 (PI.f32) (neg.f32 tau)) #s(literal 0 binary32))
(- 0 (* x (PI)))
(fma.f32 (PI.f32) (neg.f32 x) #s(literal 0 binary32))
0
#s(literal 0 binary32)

localize182.0ms (1.3%)

Memory
12.8MiB live, 283.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
✓accuracy98.7%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
✓accuracy99.1%
(*.f32 (PI.f32) tau)
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.7%
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
✓accuracy98.4%
(*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
✓accuracy98.2%
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy100.0%
(PI.f32)
✓accuracy99.8%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32)))
✓accuracy98.8%
(*.f32 (*.f32 x x) (PI.f32))
✓accuracy99.0%
(*.f32 x (PI.f32))
✓accuracy99.0%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy99.0%
(*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
Samples
91.0ms256×0valid
Compiler

Compiled 525 to 51 computations (90.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 71.0ms
ival-mult: 36.0ms (51% of total)
ival-div: 9.0ms (12.8% of total)
const: 9.0ms (12.8% of total)
ival-sin: 7.0ms (9.9% of total)
ival-add: 4.0ms (5.7% of total)
ival-sub: 2.0ms (2.8% of total)
ival-pi: 1.0ms (1.4% of total)
ival-neg: 1.0ms (1.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-1.3MiB live, 36.2MiB allocated
Counts
25 → 372
Calls
Call 1
Inputs
#<alt (/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (PI) tau)>
#<alt (PI)>
#<alt (+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1)>
#<alt (* (PI) (* (* x x) (PI)))>
#<alt (* x x)>
#<alt (/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6)))>
#<alt (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36))>
#<alt (* (+ (* tau (* tau -1/6)) 1/6) 1/36)>
#<alt (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6))>
#<alt (* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))>
#<alt (/ 1 (* x (* (PI) tau)))>
#<alt (* (neg (sin (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* (PI) (* x (* tau (- 0 (* x (PI))))))))>
#<alt (- 0 (* x (PI)))>
#<alt (neg (sin (* x (PI))))>
#<alt (sin (* x (PI)))>
#<alt (* (/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau)))) (sin (* x (PI))))>
#<alt (* (* x (PI)) (* x (* (PI) tau)))>
#<alt (* x (PI))>
#<alt (* (* x x) (PI))>
#<alt (* (PI) (PI))>
#<alt (+ (* tau (* tau -1/6)) 1/6)>
#<alt (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))>
#<alt (* (PI) (* x (* tau (- 0 (* x (PI))))))>
Outputs
#<alt (/ 1 (* x (PI)))>
#<alt (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (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 (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 (* -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 (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (* (pow x 2) (pow (PI) 2))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt -1/6>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt -1/216>
#<alt (- (* 1/216 (pow tau 2)) 1/216)>
#<alt (- (* (pow tau 2) (+ 1/216 (* 1/216 (pow tau 2)))) 1/216)>
#<alt (- (* (pow tau 2) (+ 1/216 (* (pow tau 2) (+ 1/216 (* -1/216 (pow tau 2)))))) 1/216)>
#<alt (* -1/216 (pow tau 6))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) 1/216))>
#<alt (* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) (+ 1/216 (* 1/216 (/ 1 (pow tau 6))))))>
#<alt (* -1/216 (pow tau 6))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) 1/216))>
#<alt (* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) (+ 1/216 (* 1/216 (/ 1 (pow tau 6))))))>
#<alt 1/216>
#<alt (+ 1/216 (* -1/216 (pow tau 2)))>
#<alt (+ 1/216 (* -1/216 (pow tau 2)))>
#<alt (+ 1/216 (* -1/216 (pow tau 2)))>
#<alt (* -1/216 (pow tau 2))>
#<alt (* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* -1/216 (pow tau 2))>
#<alt (* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* 1/216 (pow tau 4))>
#<alt (* (pow tau 4) (+ 1/216 (* -1/216 (pow tau 2))))>
#<alt (* (pow tau 4) (+ 1/216 (* -1/216 (pow tau 2))))>
#<alt (* (pow tau 4) (+ 1/216 (* -1/216 (pow tau 2))))>
#<alt (* -1/216 (pow tau 6))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* -1/216 (pow tau 6))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<alt (* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))>
#<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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))>
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* -1 (* x (PI)))>
#<alt (* x (- (* 1/6 (* (pow x 2) (pow (PI) 3))) (PI)))>
#<alt (* x (- (* (pow x 2) (- (* -1/120 (* (pow x 2) (pow (PI) 5))) (* -1/6 (pow (PI) 3)))) (PI)))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))) (* -1/6 (pow (PI) 3)))) (PI)))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* 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 (* 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 (* (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))>
#<alt 1/6>
#<alt (+ 1/6 (* -1/6 (pow tau 2)))>
#<alt (+ 1/6 (* -1/6 (pow tau 2)))>
#<alt (+ 1/6 (* -1/6 (pow tau 2)))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))>
#<alt (* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))>
#<alt (* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))>
#<alt (* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))>
#<alt (* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))>
#<alt 1/36>
#<alt (+ 1/36 (* -1/18 (pow tau 2)))>
#<alt (+ 1/36 (* (pow tau 2) (- (* 1/36 (pow tau 2)) 1/18)))>
#<alt (+ 1/36 (* (pow tau 2) (- (* 1/36 (pow tau 2)) 1/18)))>
#<alt (* 1/36 (pow tau 4))>
#<alt (* (pow tau 4) (- 1/36 (* 1/18 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))>
#<alt (* 1/36 (pow tau 4))>
#<alt (* (pow tau 4) (- 1/36 (* 1/18 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 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))))>
Calls

93 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau))))
1.0ms
tau
@-inf
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))
1.0ms
tau
@inf
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))
1.0ms
x
@-inf
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))
1.0ms
tau
@0
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))

rewrite450.0ms (3.1%)

Memory
-0.7MiB live, 745.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 402×accelerator-lowering-fma.f32
5 402×accelerator-lowering-fma.f64
4 550×*-lowering-*.f32
4 550×*-lowering-*.f64
4 130×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046275
1257225
22225223
08245212
Stop Event
1×iter limit
1×node limit
Counts
25 → 1 254
Calls
Call 1
Inputs
(/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau))))
(sin (* x (* (PI) tau)))
(* (PI) tau)
(PI)
(+ (* -1/6 (* (PI) (* (* x x) (PI)))) 1)
(* (PI) (* (* x x) (PI)))
(* x x)
(/ (- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36)) (* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6)))
(- (* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6)) (* (+ (* tau (* tau -1/6)) 1/6) 1/36))
(* (+ (* tau (* tau -1/6)) 1/6) 1/36)
(* (* (* tau tau) (* (* tau tau) 1/36)) (+ (* tau (* tau -1/6)) 1/6))
(* (/ 1 (* x (* (PI) tau))) (* (sin (* x (* (PI) tau))) (+ (* (* x x) (* -1/6 (* (PI) (PI)))) 1)))
(/ 1 (* x (* (PI) tau)))
(* (neg (sin (* x (PI)))) (/ (sin (* x (* (PI) tau))) (* (PI) (* x (* tau (- 0 (* x (PI))))))))
(- 0 (* x (PI)))
(neg (sin (* x (PI))))
(sin (* x (PI)))
(* (/ (sin (* x (* (PI) tau))) (* (* x (PI)) (* x (* (PI) tau)))) (sin (* x (PI))))
(* (* x (PI)) (* x (* (PI) tau)))
(* x (PI))
(* (* x x) (PI))
(* (PI) (PI))
(+ (* tau (* tau -1/6)) 1/6)
(* (+ (* tau (* tau -1/6)) 1/6) (+ (* tau (* tau -1/6)) 1/6))
(* (PI) (* x (* tau (- 0 (* x (PI))))))
Outputs
(neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
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(*.f32 (*.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal 1/216 binary32)) (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32)))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(*.f32 (*.f32 (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal 1/216 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32)))))))
(*.f32 (*.f32 (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau)))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (*.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (-.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32)))))))
(*.f32 (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (neg.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32))))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (neg.f32 (fma.f32 (*.f32 tau tau) #s(literal -1/36 binary32) #s(literal 1/36 binary32))))))
(*.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal 1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))))
(*.f32 (*.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal 1/216 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))))
(*.f32 (*.f32 (fma.f32 tau (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))
(*.f32 (exp.f32 (log.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) (exp.f32 (log.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(neg.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))))
(+.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))))))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))))
(/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))))
(/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (*.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32))))))))
(*.f32 x (neg.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 (PI.f32) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))))
(*.f32 x (*.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))
(*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))))
(*.f32 (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32))) (neg.f32 (*.f32 (PI.f32) tau)))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))))))
(*.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) (PI.f32))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))))))
(*.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (fma.f32 x (PI.f32) #s(literal 0 binary32)))
(*.f32 (neg.f32 x) (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x tau) (*.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (PI.f32)))
(*.f32 (neg.f32 (*.f32 x (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) x)
(*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) tau)
(*.f32 (*.f32 (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify839.0ms (5.8%)

Memory
9.2MiB live, 747.3MiB allocated
Algorithm
1×egg-herbie
Rules
18 596×accelerator-lowering-fma.f32
18 596×accelerator-lowering-fma.f64
7 172×*-lowering-*.f32
7 172×*-lowering-*.f64
5 732×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03504629
111264571
242584443
080354284
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (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 (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 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))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
-1/6
(- (* -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))))))
-1/216
(- (* 1/216 (pow tau 2)) 1/216)
(- (* (pow tau 2) (+ 1/216 (* 1/216 (pow tau 2)))) 1/216)
(- (* (pow tau 2) (+ 1/216 (* (pow tau 2) (+ 1/216 (* -1/216 (pow tau 2)))))) 1/216)
(* -1/216 (pow tau 6))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) 1/216))
(* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) (+ 1/216 (* 1/216 (/ 1 (pow tau 6))))))
(* -1/216 (pow tau 6))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) 1/216))
(* (pow tau 6) (- (+ (/ 1/216 (pow tau 4)) (* 1/216 (/ 1 (pow tau 2)))) (+ 1/216 (* 1/216 (/ 1 (pow tau 6))))))
1/216
(+ 1/216 (* -1/216 (pow tau 2)))
(+ 1/216 (* -1/216 (pow tau 2)))
(+ 1/216 (* -1/216 (pow tau 2)))
(* -1/216 (pow tau 2))
(* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* -1/216 (pow tau 2))
(* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 2) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* 1/216 (pow tau 4))
(* (pow tau 4) (+ 1/216 (* -1/216 (pow tau 2))))
(* (pow tau 4) (+ 1/216 (* -1/216 (pow tau 2))))
(* (pow tau 4) (+ 1/216 (* -1/216 (pow tau 2))))
(* -1/216 (pow tau 6))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* -1/216 (pow tau 6))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
(* (pow tau 6) (- (* 1/216 (/ 1 (pow tau 2))) 1/216))
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))) (* 1/36 (* (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))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* tau (* x (PI))))
(/ 1 (* 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))))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* -1 (* x (PI)))
(* x (- (* 1/6 (* (pow x 2) (pow (PI) 3))) (PI)))
(* x (- (* (pow x 2) (- (* -1/120 (* (pow x 2) (pow (PI) 5))) (* -1/6 (pow (PI) 3)))) (PI)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* 1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))) (* -1/6 (pow (PI) 3)))) (PI)))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* -1 (sin (* x (PI))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
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 (* (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)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* 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))
1/6
(+ 1/6 (* -1/6 (pow tau 2)))
(+ 1/6 (* -1/6 (pow tau 2)))
(+ 1/6 (* -1/6 (pow tau 2)))
(* -1/6 (pow tau 2))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(* -1/6 (pow tau 2))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
1/36
(+ 1/36 (* -1/18 (pow tau 2)))
(+ 1/36 (* (pow tau 2) (- (* 1/36 (pow tau 2)) 1/18)))
(+ 1/36 (* (pow tau 2) (- (* 1/36 (pow tau 2)) 1/18)))
(* 1/36 (pow tau 4))
(* (pow tau 4) (- 1/36 (* 1/18 (/ 1 (pow tau 2)))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(* 1/36 (pow tau 4))
(* (pow tau 4) (- 1/36 (* 1/18 (/ 1 (pow tau 2)))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 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))))
Outputs
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/120 binary32))))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) x) x) #s(literal -1/5040 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x)
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/120 binary32)) x) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)))) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* -1/6 (pow tau 2))
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))
(* (pow tau 2) (- (* 1/6 (/ 1 (pow tau 2))) 1/6))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal 1/6 binary32))
1/36
#s(literal 1/36 binary32)
(+ 1/36 (* -1/18 (pow tau 2)))
(fma.f32 tau (*.f32 tau #s(literal -1/18 binary32)) #s(literal 1/36 binary32))
(+ 1/36 (* (pow tau 2) (- (* 1/36 (pow tau 2)) 1/18)))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal -1/18 binary32)) #s(literal 1/36 binary32))
(+ 1/36 (* (pow tau 2) (- (* 1/36 (pow tau 2)) 1/18)))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal -1/18 binary32)) #s(literal 1/36 binary32))
(* 1/36 (pow tau 4))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32))
(* (pow tau 4) (- 1/36 (* 1/18 (/ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 tau tau))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/36 binary32) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 #s(literal -1/18 binary32) (*.f32 tau tau)))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/36 binary32) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 #s(literal -1/18 binary32) (*.f32 tau tau)))))
(* 1/36 (pow tau 4))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32))
(* (pow tau 4) (- 1/36 (* 1/18 (/ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/36 binary32) (/.f32 #s(literal -1/18 binary32) (*.f32 tau tau))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/36 binary32) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 #s(literal -1/18 binary32) (*.f32 tau tau)))))
(* (pow tau 4) (- (+ 1/36 (/ 1/36 (pow tau 4))) (* 1/18 (/ 1 (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/36 binary32) (+.f32 (/.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (/.f32 #s(literal -1/18 binary32) (*.f32 tau tau)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))) (PI.f32))

eval534.0ms (3.7%)

Memory
49.2MiB live, 510.3MiB allocated
Compiler

Compiled 113 768 to 7 962 computations (93% saved)

prune1.0s (6.9%)

Memory
-221.5MiB live, 833.3MiB allocated
Pruning

86 alts after pruning (81 fresh and 5 done)

PrunedKeptTotal
New2 677452 722
Fresh183654
Picked325
Done134
Total2 699862 785
Accuracy
99.9%
Counts
2 785 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
79.7%
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
65.3%
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
65.3%
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
65.3%
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
79.7%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
85.4%
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
86.1%
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
69.6%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
67.9%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32)))) #s(literal 1 binary32))
62.3%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
70.1%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #s(literal 1 binary32))
85.7%
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32)))
65.3%
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 1 binary32))
✓65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
65.3%
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
65.3%
(/.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
85.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) x)
85.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (*.f32 (PI.f32) tau))
97.4%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
67.8%
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
67.8%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
79.2%
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
97.3%
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
85.6%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (PI.f32)) tau))
97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
78.9%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
64.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
79.1%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
65.3%
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))))
79.7%
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
65.3%
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
80.3%
(*.f32 (fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
86.4%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
80.3%
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
97.5%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
85.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
85.2%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
85.3%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
85.7%
(*.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)))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
70.9%
(*.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 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) tau)) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (*.f32 (PI.f32) tau)) x)) (sin.f32 (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
85.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
✓97.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
85.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
95.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))))
70.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
85.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
✓97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
70.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
84.9%
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) tau))
85.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
79.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
85.1%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
85.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
84.9%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
84.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
97.1%
(*.f32 (*.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) tau)) (*.f32 x x))))
84.8%
(*.f32 (*.f32 x (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
79.6%
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.7%
(*.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
96.8%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
85.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
91.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
70.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
97.6%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
96.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
70.5%
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
4.4%
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
4.2%
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
✓63.9%
#s(literal 1 binary32)
Compiler

Compiled 5 605 to 1 776 computations (68.3% saved)

regimes175.0ms (1.2%)

Memory
8.9MiB live, 317.5MiB allocated
Counts
143 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) tau)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.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 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))))
(*.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 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.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))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 x x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(/.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))) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(*.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (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 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (*.f32 (PI.f32) (neg.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 (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32)))) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.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:

51.0ms
(*.f32 x (PI.f32))
40.0ms
tau
40.0ms
(*.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))))
39.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1tau
98.0%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))))
98.0%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes130.0ms (0.9%)

Memory
24.5MiB live, 295.5MiB allocated
Counts
113 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
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(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) tau)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.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 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))))
(*.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 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
Calls

4 calls:

33.0ms
tau
32.0ms
x
31.0ms
(*.f32 x (PI.f32))
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
97.9%1tau
97.9%1x
97.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes153.0ms (1.1%)

Memory
-31.8MiB live, 256.4MiB allocated
Counts
96 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32)))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 x (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
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(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (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))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) tau))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.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 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x 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 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
(*.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 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(*.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))))
Calls

4 calls:

47.0ms
x
42.0ms
(*.f32 x (PI.f32))
28.0ms
tau
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.1%1x
97.1%1(*.f32 x (PI.f32))
97.1%1tau
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes111.0ms (0.8%)

Memory
21.4MiB live, 256.0MiB allocated
Counts
94 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 x (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.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 (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 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (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))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) tau))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.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 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x 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 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
(*.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)))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
Calls

4 calls:

28.0ms
x
27.0ms
(*.f32 x (PI.f32))
26.0ms
tau
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.1%1x
97.1%1tau
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes106.0ms (0.7%)

Memory
-25.7MiB live, 250.4MiB allocated
Counts
88 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.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 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x tau)))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
Calls

4 calls:

30.0ms
tau
24.0ms
(*.f32 x (PI.f32))
24.0ms
x
23.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.0%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%1x
97.0%1tau
97.0%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes99.0ms (0.7%)

Memory
2.6MiB live, 239.4MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 x (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.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 (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 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (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))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) tau))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.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 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
Calls

4 calls:

24.0ms
tau
24.0ms
(*.f32 x (PI.f32))
24.0ms
x
23.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
96.7%1tau
96.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%1x
96.7%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes108.0ms (0.7%)

Memory
20.4MiB live, 250.9MiB allocated
Counts
85 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 x (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.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 (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 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (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))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) tau))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.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 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Calls

4 calls:

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))))
27.0ms
x
25.0ms
tau
23.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
91.4%1x
91.4%1tau
91.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
91.4%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes128.0ms (0.9%)

Memory
14.5MiB live, 230.9MiB allocated
Counts
83 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
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(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
Outputs
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
Calls

4 calls:

48.0ms
tau
26.0ms
x
26.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
25.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.4%1x
86.4%1(*.f32 x (PI.f32))
86.4%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes145.0ms (1%)

Memory
-20.7MiB live, 213.9MiB allocated
Counts
80 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal -1/216 binary32) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (+.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal -1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (fma.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal -1 binary32)) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/36 binary32)))) #s(literal 1 binary32))
(-.f32 (/.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) #s(literal 1/36 binary32)) (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (log.f32 (E.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))))) #s(literal 1 binary32)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (fma.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 x (*.f32 x tau))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.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 (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 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (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))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) x)
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))) tau))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (fma.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal -1 binary32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.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)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
Calls

4 calls:

44.0ms
x
43.0ms
(*.f32 x (PI.f32))
26.0ms
tau
23.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
86.1%1tau
86.1%1x
86.1%1(*.f32 x (PI.f32))
86.1%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)

regimes40.0ms (0.3%)

Memory
10.0MiB live, 91.8MiB allocated
Counts
29 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
Calls

4 calls:

11.0ms
x
11.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
tau
8.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
85.4%1tau
85.4%1x
85.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
85.4%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes41.0ms (0.3%)

Memory
-14.8MiB live, 99.0MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) x) x) (*.f32 x x))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 #s(literal -1/216 binary32) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 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 (fma.f32 #s(literal 1/36 binary32) (*.f32 (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32)) (fma.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 0 binary32))) #s(literal -1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)))
Outputs
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
Calls

4 calls:

11.0ms
(*.f32 x (PI.f32))
11.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
tau
8.0ms
x
Results
AccuracySegmentsBranch
80.3%1x
80.3%1(*.f32 x (PI.f32))
80.3%1tau
80.3%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)

regimes31.0ms (0.2%)

Memory
24.4MiB live, 77.2MiB allocated
Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) tau)) #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))) (/.f32 #s(literal 1 binary32) (-.f32 #s(literal 0 binary32) (fma.f32 x (PI.f32) #s(literal 0 binary32))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))))
Outputs
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
Calls

4 calls:

11.0ms
x
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
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
79.7%1tau
79.7%1x
79.7%1(*.f32 x (PI.f32))
79.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes25.0ms (0.2%)

Memory
-9.0MiB live, 68.1MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
Outputs
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
Calls

4 calls:

7.0ms
(*.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))))
5.0ms
x
Results
AccuracySegmentsBranch
79.7%1x
79.7%1(*.f32 x (PI.f32))
79.7%1tau
79.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes25.0ms (0.2%)

Memory
-26.3MiB live, 53.7MiB allocated
Counts
14 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #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))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Calls

4 calls:

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))))
5.0ms
tau
5.0ms
x
5.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
79.7%1x
79.7%1(*.f32 x (PI.f32))
79.7%1tau
79.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes20.0ms (0.1%)

Memory
15.5MiB live, 54.5MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #s(literal 1 binary32))
Calls

4 calls:

6.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
70.1%1x
70.1%1(*.f32 x (PI.f32))
70.1%1tau
70.1%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)

regimes19.0ms (0.1%)

Memory
15.9MiB live, 54.7MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x (*.f32 x #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) (PI.f32) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (fma.f32 x (PI.f32) #s(literal 0 binary32)) (PI.f32)) x) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) x) (fma.f32 x (PI.f32) #s(literal 0 binary32)) #s(literal 1 binary32))
(+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau))
Outputs
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
Calls

4 calls:

6.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
65.3%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))))
65.3%1x
65.3%1tau
65.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes11.0ms (0.1%)

Memory
-11.7MiB live, 27.7MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
Outputs
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
Calls

4 calls:

4.0ms
x
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
2.0ms
tau
Results
AccuracySegmentsBranch
65.3%1tau
65.3%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))))
65.3%1x
65.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes8.0ms (0.1%)

Memory
18.3MiB live, 18.3MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
Outputs
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
Results
AccuracySegmentsBranch
65.3%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))))
65.3%1tau
65.3%1x
65.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes108.0ms (0.7%)

Memory
-22.2MiB live, 21.6MiB allocated
Accuracy

Total -19.3b remaining (-167.4%)

Threshold costs -19.3b (-167.4%)

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

4 calls:

103.0ms
x
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
1.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
63.9%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))))
63.9%1tau
63.9%1x
63.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify108.0ms (0.7%)

Memory
-7.6MiB live, 31.8MiB allocated
Algorithm
1×egg-herbie
Rules
96×*-commutative_binary32
2×1-exp_binary64
2×+-commutative_binary32
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0104395
1160395
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (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 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.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 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (*.f32 x 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 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal -1/6 binary32) (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (/.f32 (*.f32 x x) tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau tau #s(literal 1 binary32))) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(+.f32 (*.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32))) #s(literal 1 binary32))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x x) (PI.f32)) (PI.f32)) #s(literal 1 binary32))
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) tau)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) (PI.f32))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
#s(literal 1 binary32)

soundness2.3s (15.7%)

Memory
21.8MiB live, 1 663.8MiB allocated
Rules
22 010×accelerator-lowering-fma.f32
22 010×accelerator-lowering-fma.f64
18 596×accelerator-lowering-fma.f32
18 596×accelerator-lowering-fma.f64
17 266×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
046275
1257225
22225223
08245212
043266
1246250
21870244
08233237
029209
1141209
21074209
37050209
08078209
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
03504629
111264571
242584443
080354284
01055
15555
247553
3647553
0810853
03165976
110125872
238605746
371585742
080425566
03497074
111576888
243576717
080416458
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 739 to 331 computations (55.2% saved)

preprocess101.0ms (0.7%)

Memory
8.0MiB live, 200.9MiB allocated
Remove

(abs tau)

(abs x)

Compiler

Compiled 2 128 to 772 computations (63.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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