Lanczos kernel

Time bar (total: 14.6s)

analyze22.0ms (0.1%)

Memory
5.8MiB live, 46.1MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.8s (12.5%)

Memory
-214.0MiB live, 2 757.1MiB allocated
Samples
1.5s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.3s
ival-div: 380.0ms (29.2% of total)
ival-sin: 293.0ms (22.5% of total)
const: 211.0ms (16.2% of total)
ival-mult: 208.0ms (16% of total)
ival-<=: 104.0ms (8% of total)
ival-pi: 72.0ms (5.5% of total)
ival-and: 22.0ms (1.7% of total)
exact: 8.0ms (0.6% of total)
ival-assert: 3.0ms (0.2% of total)
Bogosity

preprocess94.0ms (0.6%)

Memory
37.8MiB live, 109.9MiB 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
-8.5MiB live, 314.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(*.f32 x (PI.f32))
00-0-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+01
-0255
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+001
-00255
Precision?
0/0
Recall?
0.0
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+001
-000
Precision?
0/0
Recall?
0.0
Samples
49.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 34.0ms
ival-mult: 13.0ms (38.3% of total)
ival-sin: 12.0ms (35.4% of total)
ival-div: 6.0ms (17.7% of total)
ival-pi: 2.0ms (5.9% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.7MiB live, 2.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify43.0ms (0.3%)

Memory
-11.3MiB live, 30.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Rules
598×times-frac
578×*-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)))

localize64.0ms (0.4%)

Memory
16.2MiB live, 54.9MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Samples
22.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (40.5% of total)
ival-mult: 4.0ms (27% of total)
ival-div: 3.0ms (20.3% of total)
ival-pi: 1.0ms (6.8% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-27.4MiB live, 47.6MiB 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
3.0ms
x
@0
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms
tau
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
3.0ms
x
@0
(/ (sin (* x (PI))) (* x (PI)))
2.0ms
x
@inf
(* x (PI))
2.0ms
x
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))

rewrite236.0ms (1.6%)

Memory
33.2MiB live, 433.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×*-lowering-*.f32
4 760×*-lowering-*.f64
3 316×/-lowering-/.f32
3 316×/-lowering-/.f64
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

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

simplify550.0ms (3.8%)

Memory
-23.0MiB live, 589.6MiB 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))
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(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))

eval133.0ms (0.9%)

Memory
6.4MiB live, 117.0MiB allocated
Compiler

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

prune948.0ms (6.5%)

Memory
-4.8MiB live, 250.0MiB allocated
Pruning

35 alts after pruning (34 fresh and 1 done)

PrunedKeptTotal
New979341 013
Fresh000
Picked011
Done000
Total979351 014
Accuracy
99.7%
Counts
1 014 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(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))
77.1%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
▶98.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
▶64.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)
97.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (sqrt.f32 (PI.f32))))
97.5%
(/.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))))))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
78.2%
(*.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))))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) x) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
77.9%
(*.f32 (/.f32 (*.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)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x (cbrt.f32 (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
84.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.4%
(*.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))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
✓98.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.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)))
97.4%
(*.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))))
▶97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
97.3%
(*.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))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
97.3%
(*.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)))))
97.3%
(*.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)))))) (/.f32 #s(literal 1 binary32) x))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
▶97.1%
(*.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)))))
97.3%
(*.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))))))))
▶63.9%
#s(literal 1 binary32)
Compiler

Compiled 1 675 to 924 computations (44.8% saved)

simplify250.0ms (1.7%)

Memory
-20.3MiB live, 209.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))
✓cost-diff0
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
✓cost-diff0
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓cost-diff0
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
✓cost-diff0
(*.f32 tau (PI.f32))
✓cost-diff0
(*.f32 x (*.f32 tau (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓cost-diff320
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
Rules
3 428×*-lowering-*.f32
3 428×*-lowering-*.f64
3 170×/-lowering-/.f32
3 170×/-lowering-/.f64
2 056×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039367
1114367
2418361
32400361
45155361
57846361
08292356
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau)))) (neg (* x (PI))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (PI)))
(* x (PI))
(neg (* x (* (PI) tau)))
(neg (* 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 (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* x (PI))
(/ (sin (* x (PI))) (* x (* (PI) tau)))
(sin (* x (PI)))
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
(cos (* x (- (* (PI) tau) (PI))))
(* x (- (* (PI) tau) (PI)))
x
(- (* (PI) tau) (PI))
(* (PI) tau)
(PI)
tau
(cos (* x (+ (* (PI) tau) (PI))))
(* x (+ (* (PI) tau) (PI)))
(+ (* (PI) tau) (PI))
(* (* x (* tau (* (PI) (* x (PI))))) 2)
(* x (* tau (* (PI) (* x (PI)))))
(* tau (* (PI) (* x (PI))))
(* (PI) (* x (PI)))
(* x (PI))
2
Outputs
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau)))) (neg (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (neg.f32 (PI.f32))))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(neg (* x (* (PI) tau)))
(*.f32 x (*.f32 tau (neg.f32 (PI.f32))))
(neg (* x (PI)))
(*.f32 (PI.f32) (neg.f32 x))
1
#s(literal 1 binary32)
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(sin (* x (* tau (PI))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* tau (PI)))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* tau (PI))
(*.f32 (PI.f32) tau)
tau
(PI)
(PI.f32)
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (PI) (* (* (* x x) tau) (PI)))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(* (* (* x x) tau) (PI))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x x) tau)
(*.f32 x (*.f32 x tau))
(* x x)
(*.f32 x x)
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* x (PI))
(*.f32 x (PI.f32))
(/ (sin (* x (PI))) (* x (* (PI) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
(-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos (* x (- (* (PI) tau) (PI))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(* x (- (* (PI) tau) (PI)))
(*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
x
(- (* (PI) tau) (PI))
(fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(cos (* x (+ (* (PI) tau) (PI))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(* x (+ (* (PI) tau) (PI)))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(+ (* (PI) tau) (PI))
(fma.f32 (PI.f32) tau (PI.f32))
(* (* x (* tau (* (PI) (* x (PI))))) 2)
(*.f32 x (*.f32 x (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(* x (* tau (* (PI) (* x (PI)))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(* tau (* (PI) (* x (PI))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(* (PI) (* x (PI)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
2
#s(literal 2 binary32)

localize247.0ms (1.7%)

Memory
17.1MiB live, 216.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(fma.f32 (PI.f32) tau (PI.f32))
✓accuracy98.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
✓accuracy97.8%
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
✓accuracy66.3%
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓accuracy99.0%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32))))
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
✓accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
Samples
148.0ms256×0valid
Compiler

Compiled 360 to 41 computations (88.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 108.0ms
ival-div: 52.0ms (48% of total)
ival-mult: 24.0ms (22.1% of total)
ival-sin: 20.0ms (18.4% of total)
ival-cos: 6.0ms (5.5% of total)
ival-sub: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
ival-add: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series88.0ms (0.6%)

Memory
-2.8MiB live, 71.7MiB allocated
Counts
23 → 492
Calls
Call 1
Inputs
#<alt (/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau)))) (neg (* x (PI))))>
#<alt (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau))))>
#<alt (* (sin (* x (* (PI) tau))) (sin (* x (PI))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))>
#<alt (sin (* x (* tau (PI))))>
#<alt (* x (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (PI)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))>
#<alt (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))>
#<alt (cos (* x (- (* (PI) tau) (PI))))>
#<alt (* x (- (* (PI) tau) (PI)))>
#<alt (* x (PI))>
#<alt (* (PI) (* (* (* x x) tau) (PI)))>
#<alt (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))>
#<alt (* (* (* x x) tau) (PI))>
#<alt (/ (sin (* x (PI))) (* x (* (PI) tau)))>
#<alt (* (PI) tau)>
#<alt (- (* (PI) tau) (PI))>
#<alt (+ (* (PI) tau) (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 (* x (PI)))>
#<alt (* x (+ (* -1 (PI)) (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))))>
#<alt (* x (+ (* -1 (PI)) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))>
#<alt (* x (+ (* -1 (PI)) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (sin (* x (PI))))>
#<alt (+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))>
#<alt (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))>
#<alt (+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))))))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* -1 (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI)))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
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#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (* tau (* (pow x 2) (PI)))>
#<alt (/ 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 (* 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 (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (PI)>
#<alt (+ (PI) (* tau (PI)))>
#<alt (+ (PI) (* tau (PI)))>
#<alt (+ (PI) (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
Calls

123 calls:

TimeVariablePointExpression
27.0ms
x
@inf
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))
7.0ms
x
@0
(* x (- (* (PI) tau) (PI)))
2.0ms
tau
@0
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))
2.0ms
x
@0
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))
2.0ms
tau
@-inf
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))

rewrite643.0ms (4.4%)

Memory
35.5MiB live, 1 056.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 700×/-lowering-/.f32
5 700×/-lowering-/.f64
4 552×*-lowering-*.f32
4 552×*-lowering-*.f64
2 830×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038244
1213236
21867224
08576222
Stop Event
1×iter limit
1×node limit
Counts
23 → 2 387
Calls
Call 1
Inputs
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau)))) (neg (* x (PI))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (neg (* x (* (PI) tau))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* (sin (* x (* tau (PI)))) (/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI)))))
(sin (* x (* tau (PI))))
(* x (* tau (PI)))
(* tau (PI))
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(* x (* (PI) tau))
(/ (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (* (* x (* tau (* (PI) (* x (PI))))) 2))
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
(cos (* x (- (* (PI) tau) (PI))))
(* x (- (* (PI) tau) (PI)))
(* x (PI))
(* (PI) (* (* (* x x) tau) (PI)))
(/ (sin (* x (PI))) (* (PI) (* (* (* x x) tau) (PI))))
(* (* (* x x) tau) (PI))
(/ (sin (* x (PI))) (* x (* (PI) tau)))
(* (PI) tau)
(- (* (PI) tau) (PI))
(+ (* (PI) tau) (PI))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -2 binary32))))
(neg.f32 (/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(+.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(fma.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(fma.f32 #s(literal 1 binary32) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(fma.f32 (neg.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -2 binary32))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1/2 binary32) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) x) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(fma.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))))
(-.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -2 binary32))) (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))) (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))))
(-.f32 (/.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 3 binary32)) (fma.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))) (/.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 3 binary32)) (fma.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))))
(-.f32 (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x)))))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))) (/.f32 (/.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) (+.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)))))
(-.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (*.f32 (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
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(*.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (PI.f32) tau) (neg.f32 (PI.f32)))))
(*.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) tau (PI.f32)))))
(*.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(+.f32 (PI.f32) (*.f32 (PI.f32) tau))
(+.f32 (*.f32 (PI.f32) tau) (PI.f32))
(pow.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (PI.f32))) #s(literal -1 binary32))
(fma.f32 (PI.f32) tau (PI.f32))
(fma.f32 (PI.f32) #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(fma.f32 (PI.f32) (log.f32 (E.f32)) (*.f32 (PI.f32) tau))
(fma.f32 tau (PI.f32) (PI.f32))
(fma.f32 #s(literal 1 binary32) (PI.f32) (*.f32 (PI.f32) tau))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau) (PI.f32))
(fma.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (*.f32 (PI.f32) tau))
(fma.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) tau) (PI.f32))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) tau))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) tau) (PI.f32))
(fma.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))) (*.f32 (PI.f32) tau))
(fma.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 tau #s(literal 1 binary32)) (PI.f32) (PI.f32))
(fma.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)) (PI.f32))
(fma.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))) (*.f32 (PI.f32) tau))
(fma.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (*.f32 (PI.f32) tau))
(fma.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (*.f32 (PI.f32) tau))
(fma.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (sqrt.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) tau))
(fma.f32 (sqrt.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (PI.f32) tau))
(-.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(-.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (-.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (-.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (PI.f32))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (PI.f32)))))
(/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 3 binary32)) (pow.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (/.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))))
(*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))
(*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (PI.f32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(*.f32 (neg.f32 (fma.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))
(*.f32 (-.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) (-.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (+.f32 tau #s(literal 1 binary32)) (PI.f32))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (-.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (fma.f32 (PI.f32) tau (PI.f32)))

simplify494.0ms (3.4%)

Memory
8.8MiB live, 1 129.9MiB allocated
Algorithm
1×egg-herbie
Rules
11 788×accelerator-lowering-fma.f32
11 788×accelerator-lowering-fma.f64
7 712×*-lowering-*.f32
7 712×*-lowering-*.f64
3 166×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05887683
119567483
261447296
082197059
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
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 (* x (PI)))
(* x (+ (* -1 (PI)) (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))))
(* x (+ (* -1 (PI)) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
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(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* (pow x 2) (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (+ (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* (pow x 2) (- (* 1/40320 (pow (- (* tau (PI)) (PI)) 8)) (* 1/40320 (pow (+ (PI) (* tau (PI))) 8))))) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* -1 (* x (PI)))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
1
(+ 1 (* -1/2 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* -1 (* x (PI))))
(+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* x (- (* tau (PI)) (PI)))
(* -1 (* x (PI)))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(+ (* -1 (* x (PI))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (+ (* -1 (/ (* x (PI)) tau)) (* x (PI))))
(* tau (* x (PI)))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* -1 (* tau (+ (* -1 (* x (PI))) (/ (* x (PI)) tau))))
(* 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)))
(/ 1 (* tau (* x (PI))))
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (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)))
(/ 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))))
(* 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 (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(* tau (PI))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (PI))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(PI)
(+ (PI) (* tau (PI)))
(+ (PI) (* tau (PI)))
(+ (PI) (* tau (PI)))
(* tau (PI))
(* tau (+ (PI) (/ (PI) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(* tau (PI))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (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 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (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 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 tau tau))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* -1 (* x (PI)))
(neg.f32 (*.f32 x (PI.f32)))
(* x (+ (* -1 (PI)) (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))))))
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(* x (+ (* -1 (PI)) (* (pow x 2) (+ (* -1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))) (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))))
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(* x (+ (* -1 (PI)) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3)))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* 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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(* -1 (sin (* x (PI))))
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(+ (* -1 (sin (* x (PI)))) (* 1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))
(+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
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(+ (* -1 (sin (* x (PI)))) (* (pow tau 2) (+ (* 1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 #s(literal 1/5040 binary32) (*.f32 (pow.f32 x #s(literal 6 binary32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau tau))))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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(sin (* tau (* x (PI))))
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tau
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tau
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(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(* tau (* (pow x 2) (PI)))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(/ 1 tau)
(/.f32 #s(literal 1 binary32) tau)
(+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (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 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) 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 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) tau)) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.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))))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* -1 (PI))
(neg.f32 (PI.f32))
(- (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
(- (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
(- (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(PI)
(PI.f32)
(+ (PI) (* tau (PI)))
(fma.f32 tau (PI.f32) (PI.f32))
(+ (PI) (* tau (PI)))
(fma.f32 tau (PI.f32) (PI.f32))
(+ (PI) (* tau (PI)))
(fma.f32 tau (PI.f32) (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (+ (PI) (/ (PI) tau)))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))

eval311.0ms (2.1%)

Memory
14.3MiB live, 856.2MiB allocated
Compiler

Compiled 105 143 to 4 246 computations (96% saved)

prune330.0ms (2.3%)

Memory
29.9MiB live, 777.2MiB allocated
Pruning

52 alts after pruning (50 fresh and 2 done)

PrunedKeptTotal
New3 211333 244
Fresh121729
Picked325
Done101
Total3 227523 279
Accuracy
99.8%
Counts
3 279 → 52
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(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))
77.1%
(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))
63.5%
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
97.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
46.1%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
62.2%
(/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) x) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
63.9%
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
64.8%
(/.f32 (-.f32 (cos.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (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)))
64.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (PI.f32)))) (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)))
64.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
30.7%
(/.f32 (-.f32 #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)))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
97.5%
(/.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))))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
76.5%
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
▶64.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
63.5%
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
63.5%
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
78.2%
(*.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))))
77.4%
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x (cbrt.f32 (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶84.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.4%
(*.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))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
70.8%
(*.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 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
70.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
97.3%
(*.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)))))) (/.f32 #s(literal 1 binary32) x))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
96.9%
(*.f32 (sin.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))) (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.0%
(*.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)))))
90.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
83.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau)))
97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x x)))))
70.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
▶98.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))))
64.4%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
✓63.9%
#s(literal 1 binary32)
▶6.3%
#s(literal 0 binary32)
Compiler

Compiled 2 774 to 1 488 computations (46.4% saved)

simplify219.0ms (1.5%)

Memory
-46.6MiB live, 429.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))))
✓cost-diff0
(-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))
✓cost-diff0
(*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))))
✓cost-diff0
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓cost-diff0
(*.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))))
✓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-diff0
(*.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)))
✓cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))))
✓cost-diff128
(*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
Rules
3 912×*-lowering-*.f32
3 912×*-lowering-*.f64
3 844×/-lowering-/.f32
3 844×/-lowering-/.f64
3 194×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
046378
1149378
2546366
32754366
44771366
08109358
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI))))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
tau
(* x (PI))
x
(PI)
(/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI)))))
(sin (* x (PI)))
(* (neg (* tau (* x (PI)))) (neg (* x (PI))))
(neg (* tau (* x (PI))))
(neg (* x (PI)))
0
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1)
(* (PI) (PI))
(* (* x x) -1/6)
(* x x)
-1/6
1
(* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* x (* tau (* (PI) (* x (PI)))))
(* tau (* (PI) (* x (PI))))
(* (PI) (* x (PI)))
(* x (PI))
(sin (* x (PI)))
(/ (* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))) (* (* (PI) (PI)) (* tau (* x x))))
(* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI))))))
1/2
(- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))
(cos (* x (+ (* tau (PI)) (neg (PI)))))
(* x (+ (* tau (PI)) (neg (PI))))
x
(+ (* tau (PI)) (neg (PI)))
tau
(PI)
(neg (PI))
(cos (* x (+ (* tau (PI)) (PI))))
(* x (+ (* tau (PI)) (PI)))
(+ (* tau (PI)) (PI))
(* (* (PI) (PI)) (* tau (* x x)))
(* (PI) (PI))
(* tau (* x x))
(* x x)
Outputs
(* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 x (PI.f32))
x
(PI)
(PI.f32)
(/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* (neg (* tau (* x (PI)))) (neg (* x (PI))))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(neg (* tau (* x (PI))))
(*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))
(neg (* x (PI)))
(neg.f32 (*.f32 x (PI.f32)))
0
#s(literal 0 binary32)
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* (* x (PI)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1)
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
1
#s(literal 1 binary32)
(* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* x (* (PI) tau))
(*.f32 tau (*.f32 x (PI.f32)))
x
(* (PI) tau)
(*.f32 tau (PI.f32))
(PI)
(PI.f32)
tau
(* x (* tau (* (PI) (* x (PI)))))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* tau (* (PI) (* x (PI))))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* x (PI)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ (* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))) (* (* (PI) (PI)) (* tau (* x x))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))) (/.f32 #s(literal 1/2 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI))))))
(*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))))
1/2
#s(literal 1/2 binary32)
(- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))
(-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))
(cos (* x (+ (* tau (PI)) (neg (PI)))))
(cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))))
(* x (+ (* tau (PI)) (neg (PI))))
(*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))
x
(+ (* tau (PI)) (neg (PI)))
(fma.f32 tau (PI.f32) (neg.f32 (PI.f32)))
tau
(PI)
(PI.f32)
(neg (PI))
(neg.f32 (PI.f32))
(cos (* x (+ (* tau (PI)) (PI))))
(cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32))))
(* x (+ (* tau (PI)) (PI)))
(*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))
(+ (* tau (PI)) (PI))
(fma.f32 tau (PI.f32) (PI.f32))
(* (* (PI) (PI)) (* tau (* x x)))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* tau (* x x))
(*.f32 tau (*.f32 x x))
(* x x)
(*.f32 x x)

localize203.0ms (1.4%)

Memory
-6.7MiB live, 314.2MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
✓accuracy98.7%
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy66.3%
(-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.6%
(*.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))))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))))
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))))
Samples
134.0ms256×0valid
Compiler

Compiled 366 to 48 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-cos: 46.0ms (39.9% of total)
ival-mult: 37.0ms (32.1% of total)
ival-sin: 13.0ms (11.3% of total)
ival-div: 6.0ms (5.2% of total)
const: 4.0ms (3.5% of total)
ival-add: 3.0ms (2.6% of total)
ival-neg: 3.0ms (2.6% of total)
ival-pi: 1.0ms (0.9% of total)
ival-sub: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series28.0ms (0.2%)

Memory
28.5MiB live, 66.9MiB allocated
Counts
22 → 468
Calls
Call 1
Inputs
#<alt (* (neg (* tau (* x (PI)))) (neg (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))) (* (* (PI) (PI)) (* tau (* x x))))>
#<alt (* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI))))))>
#<alt (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))>
#<alt (cos (* x (+ (* tau (PI)) (neg (PI)))))>
#<alt (/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI)))))>
#<alt (* x (PI))>
#<alt (* (PI) (PI))>
#<alt (* (* x x) -1/6)>
#<alt (* (PI) (* x (PI)))>
#<alt (* (* (PI) (PI)) (* tau (* x x)))>
Outputs
#<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 (/ (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>
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#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
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#<alt (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (/ (+ (* 1/2 (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)>
#<alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau)>
#<alt (/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau)>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
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#<alt (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* 1/2 (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/2 (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))))))>
#<alt (* (pow x 2) (+ (* 1/2 (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2)))) (* (pow x 2) (+ (* 1/2 (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/40320 (pow (- (* tau (PI)) (PI)) 8)) (* 1/40320 (pow (+ (PI) (* tau (PI))) 8))))) (* 1/2 (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))))))))>
#<alt (* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))>
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#<alt (* 1/2 (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))))>
#<alt (+ (* 1/2 (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (* 1/2 (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))))>
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#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))>
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#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* -1 (* x (PI))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
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#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (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 (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
Calls

117 calls:

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

rewrite360.0ms (2.5%)

Memory
9.0MiB live, 800.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 638×*-lowering-*.f32
4 638×*-lowering-*.f64
4 586×/-lowering-/.f32
4 586×/-lowering-/.f64
4 388×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
045258
1251238
22033232
08986228
Stop Event
1×iter limit
1×node limit
Counts
22 → 945
Calls
Call 1
Inputs
(* (neg (* tau (* x (PI)))) (neg (* x (PI))))
(* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI))))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))) (* (* (PI) (PI)) (* tau (* x x))))
(* 1/2 (- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI))))))
(- (cos (* x (+ (* tau (PI)) (neg (PI))))) (cos (* x (+ (* tau (PI)) (PI)))))
(cos (* x (+ (* tau (PI)) (neg (PI)))))
(/ (sin (* x (PI))) (* (neg (* tau (* x (PI)))) (neg (* x (PI)))))
(* x (PI))
(* (PI) (PI))
(* (* x x) -1/6)
(* (PI) (* x (PI)))
(* (* (PI) (PI)) (* tau (* x x)))
Outputs
(neg.f32 (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (neg.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x)))
(*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x))
(*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))) x)
(*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (PI.f32)) x))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (neg.f32 tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)
(*.f32 (*.f32 tau x) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))) (PI.f32))
(*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)) x)
(*.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) x) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (neg.f32 x)) (PI.f32))
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (*.f32 (*.f32 tau x) (*.f32 x (PI.f32))) (PI.f32))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(pow.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x))) (neg.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 (*.f32 tau x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 tau x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(+.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(+.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(pow.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal -1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
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(fma.f32 (cos.f32 (fma.f32 tau (*.f32 x (PI.f32)) #s(literal 0 binary32))) (cos.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (fma.f32 tau (*.f32 x (PI.f32)) #s(literal 0 binary32))) (sin.f32 (*.f32 x (PI.f32)))))
(-.f32 (*.f32 (cos.f32 (*.f32 tau (*.f32 x (PI.f32)))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (neg.f32 (*.f32 x (PI.f32))))))
(-.f32 (*.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (neg.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) x) (neg.f32 (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (neg.f32 x)) (PI.f32))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))) (neg.f32 (neg.f32 (neg.f32 (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) x)) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) #s(literal -1 binary32))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (neg.f32 x))) (neg.f32 (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (neg.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (pow.f32 (/.f32 (neg.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) x))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) x))
(*.f32 (*.f32 x #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(neg.f32 (*.f32 (neg.f32 (PI.f32)) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (log.f32 (neg.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (neg.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (PI.f32) (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (neg.f32 (PI.f32))))
(*.f32 #s(literal -1 binary32) (pow.f32 (*.f32 (PI.f32) (neg.f32 (PI.f32))) #s(literal 1 binary32)))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) (pow.f32 (neg.f32 (cbrt.f32 (PI.f32))) #s(literal 2 binary32)))
(*.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1 binary32)) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (*.f32 (neg.f32 (PI.f32)) #s(literal -1 binary32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (pow.f32 (neg.f32 (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (PI.f32))
(*.f32 (pow.f32 (neg.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 #s(literal -1 binary32) (sqrt.f32 (PI.f32))) #s(literal 2 binary32)) (PI.f32))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) x)
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(neg.f32 (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(-.f32 #s(literal 0 binary32) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (neg.f32 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x)))
(*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x))
(*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))) x)
(*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (PI.f32)) x))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x x)))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 #s(literal -1 binary32) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (neg.f32 tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 x) (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)
(*.f32 (*.f32 tau x) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x x))) (PI.f32))
(*.f32 (neg.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)) x)
(*.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) x) (neg.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (neg.f32 x)) (PI.f32))
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 (neg.f32 (*.f32 x (PI.f32))) (neg.f32 tau)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (*.f32 (*.f32 tau x) (*.f32 x (PI.f32))) (PI.f32))

simplify449.0ms (3.1%)

Memory
-22.9MiB live, 850.7MiB allocated
Algorithm
1×egg-herbie
Rules
11 550×accelerator-lowering-fma.f32
11 550×accelerator-lowering-fma.f64
8 826×*-lowering-*.f32
8 826×*-lowering-*.f64
2 288×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05397767
117537581
269137581
080187309
Stop Event
1×iter limit
1×node limit
Counts
468 → 468
Calls
Call 1
Inputs
(* 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)))
(/ (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))))
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(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2)))))
(/ (+ (* 1/2 (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))) (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2))))) tau)
(/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))) (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI)))))))) tau)
(/ (+ (* 1/2 (/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (* tau (+ (* 1/2 (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI))))))))))) tau)
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))
(* 1/2 (* (pow x 2) (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2)))))
(* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* 1/2 (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))))
(* (pow x 2) (+ (* 1/2 (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/2 (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))))))
(* (pow x 2) (+ (* 1/2 (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2)))) (* (pow x 2) (+ (* 1/2 (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* 1/40320 (pow (- (* tau (PI)) (PI)) 8)) (* 1/40320 (pow (+ (PI) (* tau (PI))) 8))))) (* 1/2 (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))))
(+ (* 1/2 (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (* 1/2 (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))))
(+ (* 1/2 (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))) (* tau (+ (* 1/2 (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI))))))))) (* 1/2 (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))))
(+ (* 1/2 (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))) (* tau (+ (* 1/2 (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))) (* tau (+ (* 1/2 (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* 1/2 (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* 1/2 (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))))
(* (pow x 2) (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (+ (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* (pow x 2) (- (* 1/40320 (pow (- (* tau (PI)) (PI)) 8)) (* 1/40320 (pow (+ (PI) (* tau (PI))) 8))))) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* -1 (* x (PI)))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
(- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))
1
(+ 1 (* -1/2 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 2))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* -1 (* x (PI))))
(+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(cos (* x (- (* tau (PI)) (PI))))
(/ 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 (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
Outputs
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 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 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1/6 binary32)) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(cos (* x (- (* tau (PI)) (PI))))
(cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(cos (* x (- (* tau (PI)) (PI))))
(cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(cos (* x (- (* tau (PI)) (PI))))
(cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32))))
(/ 1 (* tau (* x (PI))))
(/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) tau) #s(literal -1/5040 binary32)) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))

eval166.0ms (1.1%)

Memory
-6.5MiB live, 316.0MiB allocated
Compiler

Compiled 53 933 to 3 301 computations (93.9% saved)

prune247.0ms (1.7%)

Memory
7.3MiB live, 627.9MiB allocated
Pruning

87 alts after pruning (82 fresh and 5 done)

PrunedKeptTotal
New1 616461 662
Fresh93645
Picked235
Done022
Total1 627871 714
Accuracy
99.8%
Counts
1 714 → 87
Alt Table
Click to see full alt table
StatusAccuracyProgram
83.8%
(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))
77.1%
(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))
▶64.7%
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
77.1%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
78.4%
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
63.5%
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
83.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)
83.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (*.f32 tau x)) (PI.f32))
46.1%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
62.2%
(/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) x) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
63.9%
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
64.8%
(/.f32 (-.f32 (cos.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (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)))
64.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (PI.f32)))) (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)))
64.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
30.7%
(/.f32 (-.f32 #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)))
84.1%
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
83.9%
(/.f32 (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) tau)
63.4%
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
97.5%
(/.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))))))
84.2%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (*.f32 tau (*.f32 x (PI.f32))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
76.5%
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
46.1%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (-.f32 (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
64.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (*.f32 tau (*.f32 x x))))
64.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) (*.f32 tau (*.f32 x x))))
✓64.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
64.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
30.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
63.5%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
77.8%
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
78.2%
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
78.2%
(*.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))))
84.1%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
77.7%
(*.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 x x)))) (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
83.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (*.f32 tau (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
77.3%
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.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)))
77.7%
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.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)))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x (cbrt.f32 (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (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 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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)))
▶83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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)))
✓97.4%
(*.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))))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
70.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
83.9%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) tau))
▶97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) x))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (PI.f32)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
84.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
83.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.3%
(*.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)))))) (/.f32 #s(literal 1 binary32) x))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
84.1%
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
96.9%
(*.f32 (sin.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))) (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.0%
(*.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)))))
90.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau)))
97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x x)))))
70.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
90.4%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
84.3%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
▶83.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.2%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)) x)))
▶98.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
84.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
64.7%
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
60.5%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x (neg.f32 x)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))))) #s(literal -1 binary32)))
✓63.9%
#s(literal 1 binary32)
✓6.3%
#s(literal 0 binary32)
Compiler

Compiled 4 694 to 2 628 computations (44% saved)

simplify293.0ms (2%)

Memory
16.5MiB live, 288.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓cost-diff512
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
✓cost-diff0
(*.f32 (*.f32 tau x) (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 (*.f32 tau x) (PI.f32)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff128
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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)))
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(*.f32 tau (*.f32 x (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
Rules
6 398×associate-/r*
6 332×/-lowering-/.f32
6 332×/-lowering-/.f64
5 086×*-lowering-*.f32
5 086×*-lowering-*.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040351
1116351
2364351
31393351
42778347
52856343
63086343
73112343
83114343
93114343
103523343
113796343
124243343
134619343
144737343
154737343
164737343
176514343
186520343
196805343
206812343
217136343
227136343
237136343
247136343
08445337
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI)))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
tau
(* x (PI))
x
(PI)
(/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI))))
(sin (* x (PI)))
(* (* tau (* x (PI))) (* x (PI)))
(+ (* (* x x) (* (PI) (* (PI) -1/6))) 1)
(* x x)
x
(* (PI) (* (PI) -1/6))
(PI)
(* (PI) -1/6)
-1/6
1
(* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))
(/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau))
(sin (* (* tau x) (PI)))
(* (* tau x) (PI))
(* tau x)
tau
x
(PI)
(* (* x (PI)) tau)
(* x (PI))
(+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1)
(* (PI) (PI))
(* (* x x) -1/6)
(* x x)
-1/6
1
(* (sin (* tau (* x (PI)))) (/ (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI)))) x))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
tau
(* x (PI))
x
(PI)
(/ (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI)))) x)
(+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI))))
(* x (/ (* (PI) -1/6) tau))
(/ (* (PI) -1/6) tau)
(* (PI) -1/6)
-1/6
(/ 1 (* tau (PI)))
1
(* tau (PI))
(* (/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI))))) (/ (sin (* x (PI))) x))
(/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI)))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
tau
(* x (PI))
x
(PI)
(* tau (* x (* (PI) (PI))))
(* x (* (PI) (PI)))
(* (PI) (PI))
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
Outputs
(* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.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 x (PI.f32))
x
(PI)
(PI.f32)
(/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* (* tau (* x (PI))) (* x (PI)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(+ (* (* x x) (* (PI) (* (PI) -1/6))) 1)
(fma.f32 (PI.f32) (*.f32 x (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(* (PI) (* (PI) -1/6))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(PI)
(PI.f32)
(* (PI) -1/6)
(*.f32 (PI.f32) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
1
#s(literal 1 binary32)
(* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))) tau)
(/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.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)
(*.f32 tau x)
tau
x
(PI)
(PI.f32)
(* (* x (PI)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1)
(fma.f32 (PI.f32) (*.f32 x (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
-1/6
#s(literal -1/6 binary32)
1
#s(literal 1 binary32)
(* (sin (* tau (* x (PI)))) (/ (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI)))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))) tau)
(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 x (PI.f32))
x
(PI)
(PI.f32)
(/ (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI)))) x)
(/.f32 (fma.f32 x (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x)
(+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI))))
(fma.f32 x (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(* x (/ (* (PI) -1/6) tau))
(/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau)
(/ (* (PI) -1/6) tau)
(/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)
(* (PI) -1/6)
(*.f32 (PI.f32) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(/ 1 (* tau (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))
1
#s(literal 1 binary32)
(* tau (PI))
(*.f32 tau (PI.f32))
(* (/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI))))) (/ (sin (* x (PI))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI)))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.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 x (PI.f32))
x
(PI)
(PI.f32)
(* tau (* x (* (PI) (PI))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(* x (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))

localize169.0ms (1.2%)

Memory
-31.1MiB live, 242.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.0%
(*.f32 tau (PI.f32))
✓accuracy99.0%
(fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
✓accuracy98.9%
(*.f32 (*.f32 tau x) (PI.f32))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.7%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(PI.f32)
✓accuracy99.7%
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
Samples
86.0ms256×0valid
Compiler

Compiled 347 to 42 computations (87.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 67.0ms
ival-mult: 33.0ms (49.3% of total)
ival-sin: 13.0ms (19.4% of total)
ival-div: 11.0ms (16.4% of total)
ival-add: 4.0ms (6% of total)
const: 4.0ms (6% of total)
ival-pi: 1.0ms (1.5% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
4.4MiB live, 41.3MiB allocated
Counts
22 → 384
Calls
Call 1
Inputs
#<alt (* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI)))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (PI))>
#<alt (+ (* (* x x) (* (PI) (* (PI) -1/6))) 1)>
#<alt (* x x)>
#<alt (* (PI) (* (PI) -1/6))>
#<alt (PI)>
#<alt (* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))>
#<alt (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau))>
#<alt (sin (* (* tau x) (PI)))>
#<alt (* (* tau x) (PI))>
#<alt (* (sin (* tau (* x (PI)))) (/ (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI)))) x))>
#<alt (* (/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI))))) (/ (sin (* x (PI))) x))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI)))))>
#<alt (/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI))))>
#<alt (* (* tau (* x (PI))) (* x (PI)))>
#<alt (* (PI) (PI))>
#<alt (* (* x x) -1/6)>
#<alt (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI))))>
#<alt (* tau (PI))>
#<alt (* x (* (PI) (PI)))>
Outputs
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -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)>
#<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 (* -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>
#<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)))))))))>
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#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
Calls

96 calls:

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

rewrite422.0ms (2.9%)

Memory
19.0MiB live, 603.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 014×/-lowering-/.f32
5 014×/-lowering-/.f64
4 712×*-lowering-*.f32
4 712×*-lowering-*.f64
3 812×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
040215
1220203
21795203
08565199
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 425
Calls
Call 1
Inputs
(* (sin (* tau (* x (PI)))) (/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI)))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (PI))
(+ (* (* x x) (* (PI) (* (PI) -1/6))) 1)
(* x x)
(* (PI) (* (PI) -1/6))
(PI)
(* (/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau)) (+ (* (* (PI) (PI)) (* (* x x) -1/6)) 1))
(/ (sin (* (* tau x) (PI))) (* (* x (PI)) tau))
(sin (* (* tau x) (PI)))
(* (* tau x) (PI))
(* (sin (* tau (* x (PI)))) (/ (+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI)))) x))
(* (/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI))))) (/ (sin (* x (PI))) x))
(/ (sin (* tau (* x (PI)))) (* tau (* x (* (PI) (PI)))))
(/ (sin (* x (PI))) (* (* tau (* x (PI))) (* x (PI))))
(* (* tau (* x (PI))) (* x (PI)))
(* (PI) (PI))
(* (* x x) -1/6)
(+ (* x (* x (/ (* (PI) -1/6) tau))) (/ 1 (* tau (PI))))
(* tau (PI))
(* x (* (PI) (PI)))
Outputs
(pow.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (neg.f32 x)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 x)) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) x) (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) (neg.f32 x)) (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 x)) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau))) (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (neg.f32 x) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) #s(literal 1 binary32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 tau x))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (*.f32 x (PI.f32)) x)))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) x)
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (/.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (neg.f32 x)))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x))
(/.f32 (*.f32 #s(literal 1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (neg.f32 x)))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau)) (/.f32 x (sin.f32 (*.f32 x (PI.f32))))))
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(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (PI.f32))) tau (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (PI.f32))) tau (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (sqrt.f32 (PI.f32)) tau))
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (PI.f32))) (neg.f32 tau) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal 1/6 binary32))))) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 tau)))
(/.f32 (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (sqrt.f32 (PI.f32))) tau (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x))) (*.f32 (sqrt.f32 (PI.f32)) tau))
(/.f32 (-.f32 (*.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))))) (*.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau) (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))))))) (neg.f32 (neg.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) tau) (*.f32 tau (PI.f32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))))))) (neg.f32 (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau))))
(/.f32 (neg.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))))) (neg.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) tau)))
(/.f32 (-.f32 (pow.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) #s(literal 3 binary32)) (pow.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) #s(literal 3 binary32))) (fma.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (fma.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (*.f32 (/.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau))))))
(*.f32 #s(literal 1 binary32) (fma.f32 x (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau) (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (fma.f32 x (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) tau) (*.f32 tau (PI.f32))))))
(*.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau) (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (-.f32 (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau) (*.f32 tau (PI.f32)))))))
(*.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)))
(*.f32 (neg.f32 (fma.f32 (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau) (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)) (/.f32 (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) tau) (*.f32 tau (PI.f32)))))))
(*.f32 (neg.f32 (fma.f32 x (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32))))))) (/.f32 #s(literal 1 binary32) (neg.f32 (/.f32 (-.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (PI.f32))) tau))))
(*.f32 (-.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 tau (PI.f32)))) (*.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (*.f32 x (/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) x) tau)))) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) tau)))
(exp.f32 (log.f32 (*.f32 tau (PI.f32))))
(pow.f32 (*.f32 tau (PI.f32)) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 tau (PI.f32)) #s(literal -1 binary32)))
(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) #s(literal 1 binary32)))
(/.f32 (*.f32 tau (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 (PI.f32) (neg.f32 tau)) #s(literal -1 binary32))
(/.f32 (neg.f32 (*.f32 (PI.f32) (neg.f32 tau))) #s(literal 1 binary32))
(/.f32 (neg.f32 (PI.f32)) (neg.f32 (/.f32 #s(literal 1 binary32) tau)))
(*.f32 tau (PI.f32))
(*.f32 (PI.f32) tau)
(*.f32 (PI.f32) (*.f32 tau #s(literal 1 binary32)))
(*.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))
(*.f32 (*.f32 tau (PI.f32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) tau))
(*.f32 (*.f32 (PI.f32) (neg.f32 tau)) #s(literal -1 binary32))
(*.f32 (*.f32 tau #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (PI.f32)) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify508.0ms (3.5%)

Memory
48.1MiB live, 830.3MiB allocated
Algorithm
1×egg-herbie
Rules
15 780×accelerator-lowering-fma.f32
15 780×accelerator-lowering-fma.f64
8 392×*-lowering-*.f32
8 392×*-lowering-*.f64
4 446×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03545586
111805506
248995478
082155268
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* 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)))
(* 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 (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* -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 x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
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(* tau (PI))
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Outputs
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
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(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) tau))
(* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))
(fma.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) tau))
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(/ (+ (* -1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau)
(/.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) tau)
(* -1 (/ (- (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau))
(neg.f32 (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32))) tau))
(* -1 (/ (- (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau))
(neg.f32 (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32))) tau))
(* -1 (/ (- (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau))
(neg.f32 (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32))) tau))
(* -1 (/ (- (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))) tau))
(neg.f32 (/.f32 (fma.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32))) tau))
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (PI))
(*.f32 (PI.f32) tau)
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))

eval616.0ms (4.2%)

Memory
-32.9MiB live, 651.6MiB allocated
Compiler

Compiled 81 143 to 6 225 computations (92.3% saved)

prune448.0ms (3.1%)

Memory
44.3MiB live, 1 189.9MiB allocated
Pruning

102 alts after pruning (93 fresh and 9 done)

PrunedKeptTotal
New2 778462 824
Fresh304777
Picked145
Done055
Total2 8091022 911
Accuracy
99.8%
Counts
2 911 → 102
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.7%
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
64.7%
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
64.7%
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
64.7%
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
83.8%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
82.9%
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.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))
64.7%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
77.1%
(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))
64.7%
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
77.1%
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
83.3%
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
78.4%
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
78.4%
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
63.5%
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
84.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) tau)
46.1%
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
62.2%
(/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) x) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
63.9%
(/.f32 (-.f32 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
64.8%
(/.f32 (-.f32 (cos.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (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)))
64.9%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (PI.f32)))) (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)))
64.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
63.4%
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
84.2%
(/.f32 (*.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 x (*.f32 (PI.f32) tau)))
83.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32)))) (*.f32 x (neg.f32 tau)))
97.5%
(/.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))))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
97.9%
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
76.5%
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
46.1%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (-.f32 (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
64.6%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (*.f32 tau (*.f32 x x))))
✓64.9%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
64.8%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
30.7%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
63.5%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
64.7%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
97.9%
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
64.8%
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
64.7%
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
77.8%
(*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
78.2%
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
83.2%
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
84.1%
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
83.2%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
84.1%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
78.2%
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
83.8%
(*.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau)))
83.6%
(*.f32 (fma.f32 x (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
77.8%
(*.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))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
77.7%
(*.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 x x)))) (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
83.9%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
83.7%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
83.7%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
77.3%
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (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)))
64.4%
(*.f32 (/.f32 (*.f32 x (*.f32 (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)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (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)))
83.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.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 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
70.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
83.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.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)))
✓83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.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)))
✓97.4%
(*.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))))
✓97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
70.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
✓97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
83.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32)))
83.8%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
97.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
83.7%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
83.7%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
84.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.3%
(*.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)))))) (/.f32 #s(literal 1 binary32) x))
97.4%
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
77.5%
(*.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
64.5%
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
83.6%
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.0%
(*.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)))))
90.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
97.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
97.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau)))
97.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x x)))))
97.3%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
83.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
96.4%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
90.4%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
84.3%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
83.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) x))
✓83.6%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
83.4%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (fma.f32 (/.f32 tau (PI.f32)) #s(literal -6 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x x))) (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 tau #s(literal -6 binary32)) (PI.f32)))) x))
70.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) x))
96.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
97.2%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)) x)))
✓98.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
70.5%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
84.1%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
4.4%
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
60.5%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x (neg.f32 x)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))))) #s(literal -1 binary32)))
✓63.9%
#s(literal 1 binary32)
✓6.3%
#s(literal 0 binary32)
Compiler

Compiled 6 806 to 2 194 computations (67.8% saved)

regimes178.0ms (1.2%)

Memory
10.9MiB live, 354.8MiB allocated
Counts
160 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (fma.f32 (/.f32 tau (PI.f32)) #s(literal -6 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x x))) (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 tau #s(literal -6 binary32)) (PI.f32)))) x))
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(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) (*.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)))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.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))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.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 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau x)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.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)))))) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 tau (PI.f32)) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) x) (/.f32 (/.f32 #s(literal 1 binary32) tau) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (sqrt.f32 (PI.f32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) (PI.f32)))) (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 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (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 (*.f32 (*.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 1/2 binary32)) #s(literal 2 binary32)) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) x) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) x))) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 2 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (*.f32 tau (*.f32 x x))))
(*.f32 (sin.f32 (/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))) (*.f32 #s(literal 0 binary32) (neg.f32 (*.f32 tau (*.f32 x (PI.f32))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (cbrt.f32 (PI.f32)) #s(literal 6 binary32)) (*.f32 tau (*.f32 x x))))
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x (cbrt.f32 (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 tau x (neg.f32 x)))) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (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 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (cbrt.f32 (PI.f32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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:

45.0ms
tau
44.0ms
(*.f32 x (PI.f32))
41.0ms
x
41.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
98.3%1x
98.3%1tau
98.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes221.0ms (1.5%)

Memory
-1.6MiB live, 249.0MiB allocated
Counts
125 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
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(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (fma.f32 x (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) x))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (-.f32 (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (fma.f32 (/.f32 tau (PI.f32)) #s(literal -6 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x x))) (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 tau #s(literal -6 binary32)) (PI.f32)))) x))
(*.f32 (/.f32 (*.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)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.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 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x)) x)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) tau) (*.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 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) tau)))
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.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))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 (*.f32 tau (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(*.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 tau (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
Calls

4 calls:

68.0ms
x
52.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
52.0ms
(*.f32 x (PI.f32))
45.0ms
tau
Results
AccuracySegmentsBranch
98.1%1x
98.1%1(*.f32 x (PI.f32))
98.1%1tau
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes190.0ms (1.3%)

Memory
-25.1MiB live, 207.8MiB allocated
Counts
102 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
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(*.f32 (/.f32 (*.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)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Calls

4 calls:

45.0ms
(*.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))))
41.0ms
tau
30.0ms
x
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
90.8%1x
90.8%1(*.f32 x (PI.f32))
90.8%1tau
90.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes202.0ms (1.4%)

Memory
0.4MiB live, 199.4MiB allocated
Counts
101 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (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) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.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 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (-.f32 #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)))
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 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 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.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 x (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 x x)))) (PI.f32) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(*.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))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (PI.f32)))) (*.f32 x (neg.f32 tau)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 tau (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau x)) (/.f32 (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) tau))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (*.f32 tau (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) tau)
(*.f32 (fma.f32 (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) (*.f32 tau x)))
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau) (/.f32 #s(literal 1 binary32) tau)))
(*.f32 (fma.f32 x (/.f32 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) x) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #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 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) x))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (fma.f32 (*.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (-.f32 (*.f32 tau (PI.f32)) (PI.f32))) (*.f32 (*.f32 x x) #s(literal -1/2 binary32)) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (-.f32 (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) (*.f32 (fma.f32 tau (PI.f32) (neg.f32 (PI.f32))) #s(literal -1/2 binary32))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 (*.f32 (*.f32 tau x) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (fma.f32 (/.f32 tau (PI.f32)) #s(literal -6 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x x))) (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 tau #s(literal -6 binary32)) (PI.f32)))) x))
(*.f32 (/.f32 (*.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)))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Calls

4 calls:

47.0ms
tau
45.0ms
(*.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))))
43.0ms
(*.f32 x (PI.f32))
37.0ms
x
Results
AccuracySegmentsBranch
90.4%1x
90.4%1(*.f32 x (PI.f32))
90.4%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))))
90.4%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes187.0ms (1.3%)

Memory
24.5MiB live, 191.0MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
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(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 (fma.f32 (/.f32 tau (PI.f32)) #s(literal -6 binary32) (*.f32 (*.f32 tau (PI.f32)) (*.f32 x x))) (*.f32 (*.f32 tau (PI.f32)) (/.f32 (*.f32 tau #s(literal -6 binary32)) (PI.f32)))) x))
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(/.f32 (*.f32 (fma.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32)))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal -1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

66.0ms
(*.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))))
43.0ms
x
38.0ms
tau
35.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
84.3%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))))
84.3%1x
84.3%1(*.f32 x (PI.f32))
84.3%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes102.0ms (0.7%)

Memory
-11.1MiB live, 104.2MiB allocated
Counts
51 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (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) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.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 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (-.f32 #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)))
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau x) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau x) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 tau (PI.f32)) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
Calls

4 calls:

46.0ms
tau
24.0ms
(*.f32 x (PI.f32))
17.0ms
x
13.0ms
(*.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
84.3%1tau
84.3%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))))
84.3%1x
84.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes96.0ms (0.7%)

Memory
-18.8MiB live, 100.7MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (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) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (/.f32 #s(literal 1 binary32) (*.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 (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) tau) tau (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (-.f32 #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)))
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.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))
Calls

4 calls:

36.0ms
(*.f32 x (PI.f32))
24.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms
tau
12.0ms
x
Results
AccuracySegmentsBranch
83.8%1x
83.8%1(*.f32 x (PI.f32))
83.8%1tau
83.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes51.0ms (0.3%)

Memory
30.8MiB live, 69.4MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (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) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Outputs
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

21.0ms
x
9.0ms
tau
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
83.2%1tau
83.2%1x
83.2%1(*.f32 x (PI.f32))
83.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes55.0ms (0.4%)

Memory
-4.7MiB live, 74.4MiB allocated
Counts
31 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

19.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
17.0ms
(*.f32 x (PI.f32))
9.0ms
tau
9.0ms
x
Results
AccuracySegmentsBranch
83.2%1x
83.2%1(*.f32 x (PI.f32))
83.2%1tau
83.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes137.0ms (0.9%)

Memory
8.3MiB live, 75.3MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 x x))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (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)))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.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))
Calls

4 calls:

62.0ms
tau
57.0ms
(*.f32 x (PI.f32))
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
x
Results
AccuracySegmentsBranch
82.9%1tau
82.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.9%1x
82.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes96.0ms (0.7%)

Memory
5.7MiB live, 52.2MiB allocated
Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))))
(/.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 x x))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
Outputs
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
Calls

4 calls:

73.0ms
(*.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
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
Results
AccuracySegmentsBranch
78.4%1x
78.4%1(*.f32 x (PI.f32))
78.4%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))))
78.4%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes76.0ms (0.5%)

Memory
5.3MiB live, 42.9MiB allocated
Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
Outputs
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

55.0ms
tau
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
Results
AccuracySegmentsBranch
78.4%1x
78.4%1(*.f32 x (PI.f32))
78.4%1tau
78.4%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))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes81.0ms (0.6%)

Memory
-10.8MiB live, 65.2MiB allocated
Counts
22 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 x x))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (neg.f32 (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)))) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (+.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))) (-.f32 (-.f32 (*.f32 tau (PI.f32)) (PI.f32)) (fma.f32 tau (PI.f32) (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (*.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 tau (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (neg.f32 (fma.f32 tau (PI.f32) (PI.f32))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (fma.f32 x (*.f32 x (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
Outputs
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

55.0ms
(*.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))))
12.0ms
x
7.0ms
tau
6.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
78.2%1x
78.2%1(*.f32 x (PI.f32))
78.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
78.2%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes33.0ms (0.2%)

Memory
-2.8MiB live, 43.7MiB allocated
Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))))
(fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (/.f32 (*.f32 x (*.f32 (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)))
Outputs
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

18.0ms
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
(*.f32 x (PI.f32))
5.0ms
x
Results
AccuracySegmentsBranch
77.1%1x
77.1%1(*.f32 x (PI.f32))
77.1%1tau
77.1%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)

regimes15.0ms (0.1%)

Memory
17.9MiB live, 17.9MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(+.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
Calls

4 calls:

4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
64.7%1x
64.7%1tau
64.7%1(*.f32 x (PI.f32))
64.7%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)

regimes17.0ms (0.1%)

Memory
-11.2MiB live, 26.6MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (PI.f32))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
Calls

4 calls:

8.0ms
(*.f32 x (PI.f32))
3.0ms
tau
3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
x
Results
AccuracySegmentsBranch
64.7%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))))
64.7%1tau
64.7%1x
64.7%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes9.0ms (0.1%)

Memory
12.6MiB live, 12.6MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Calls

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
2.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
64.7%1tau
64.7%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))))
64.7%1x
64.7%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes11.0ms (0.1%)

Memory
-20.7MiB live, 17.4MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 0 binary32)
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
Outputs
#s(literal 1 binary32)
Calls

4 calls:

5.0ms
x
2.0ms
(*.f32 x (PI.f32))
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
Results
AccuracySegmentsBranch
63.9%1tau
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%1x
63.9%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes6.0ms (0%)

Memory
14.4MiB live, 14.4MiB allocated
Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

4 calls:

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

Compiled 34 to 18 computations (47.1% saved)

simplify14.0ms (0.1%)

Memory
-3.4MiB live, 34.8MiB allocated
Algorithm
1×egg-herbie
Rules
94×*-commutative_binary32
2×1-exp_binary64
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0103479
1153479
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 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 0 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (*.f32 #s(literal -1/6 binary32) (/.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) #s(literal 1 binary32)) (*.f32 (*.f32 x (PI.f32)) tau)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 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)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))) (PI.f32))) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 x x))))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)) (fma.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32)))
(fma.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (PI.f32) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
#s(literal 1 binary32)
#s(literal 0 binary32)

soundness2.0s (14%)

Memory
-56.9MiB live, 1 669.6MiB allocated
Rules
16 966×accelerator-lowering-fma.f32
16 966×accelerator-lowering-fma.f64
15 780×accelerator-lowering-fma.f32
15 780×accelerator-lowering-fma.f64
11 788×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
038244
1213236
21867224
08576222
040215
1220203
21795203
08565199
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
01055
15555
247553
3647553
0810853
03545586
111805506
248995478
082155268
05887683
119567483
261447296
082197059
045258
1251238
22033232
08986228
05397767
117537581
269137581
080187309
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 991 to 430 computations (56.6% saved)

preprocess195.0ms (1.3%)

Memory
0.7MiB live, 232.7MiB allocated
Remove

(abs tau)

(abs x)

Compiler

Compiled 1 928 to 622 computations (67.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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