Lanczos kernel

Time bar (total: 15.4s)

analyze31.0ms (0.2%)

Algorithm
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 38 to 20 computations (47.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 4.0ms (20.8% of total)
ival-<=: 4.0ms (20.8% of total)
ival-div: 3.0ms (15.6% of total)
ival-mult: 3.0ms (15.6% of total)
...c/correct-round.rkt:119:19: 3.0ms (15.6% of total)
ival-pi: 1.0ms (5.2% of total)
ival-and: 1.0ms (5.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.7s (11.1%)

Results
1.4s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.0s
ival-sin: 301.0ms (30% of total)
ival-mult: 173.0ms (17.2% of total)
...c/correct-round.rkt:119:19: 153.0ms (15.2% of total)
ival-<=: 143.0ms (14.2% of total)
ival-div: 134.0ms (13.3% of total)
ival-pi: 53.0ms (5.3% of total)
ival-and: 35.0ms (3.5% of total)
const: 8.0ms (0.8% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess99.0ms (0.6%)

Algorithm
egg-herbie
Rules
892×fma-define
838×associate-*l*
792×fnmadd-define
760×distribute-lft-neg-in
756×distribute-frac-neg2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032136
1106136
2488128
32592110
45352110
01021
12321
28021
328418
467718
5103618
6107218
7107218
0107218
Stop Event
iter limit
saturated
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 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x 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 (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI)))))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI)))))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
(* (/ (sin (* x (* (PI) tau))) x) (/ (sin (* (PI) tau)) (square (* (PI) tau))))
Symmetry

(abs x)

(abs tau)

explain139.0ms (0.9%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
00-0-x
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
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-(sin.f32 (*.f32 x (PI.f32)))
00-0-(*.f32 x (PI.f32))
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(PI.f32)
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Results
78.0ms512×0valid
Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 37.0ms
ival-sin: 16.0ms (43.6% of total)
ival-mult: 11.0ms (30% of total)
ival-div: 7.0ms (19.1% of total)
ival-pi: 2.0ms (5.4% of total)
const: 1.0ms (2.7% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 13 computations (43.5% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
98.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 46 to 23 computations (50% saved)

simplify32.0ms (0.2%)

Algorithm
egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
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)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Rules
578×*-lowering-*.f32
578×*-lowering-*.f64
564×times-frac
540×/-lowering-/.f32
540×/-lowering-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
018135
149134
2160130
3496128
4977128
51123128
61124128
01124128
Stop Event
iter limit
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)))
(/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(/ (sin (* x (PI))) (* x x))
(sin (* x (PI)))
(* x (PI))
(* x x)
(* (PI) (* (PI) tau))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x (PI)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x)))
(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))) (* x x))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x x)
(*.f32 x x)
(* (PI) (* (PI) tau))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))

localize111.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
accuracy99.0%
(*.f32 (*.f32 x (PI.f32)) tau)
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
Results
82.0ms256×0valid
Compiler

Compiled 141 to 19 computations (86.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-mult: 16.0ms (37.6% of total)
ival-sin: 15.0ms (35.2% of total)
ival-div: 10.0ms (23.5% of total)
ival-pi: 1.0ms (2.3% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series37.0ms (0.2%)

Counts
13 → 252
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) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))>
#<alt (* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* (PI) tau)>
#<alt (/ (sin (* x (PI))) (* x x))>
#<alt (* (PI) (* (PI) tau))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<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 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (pow (PI) 2))>
#<alt (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))>
#<alt (+ (* 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 (+ (* 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)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* tau (* (PI) (sin (* x (PI))))) x)>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 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))>
#<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 (/ (PI) x)>
#<alt (/ (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) x)>
#<alt (/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) x)>
#<alt (/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))) x)>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (/ (sin (* x (PI))) (pow x 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
Calls

63 calls:

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

rewrite315.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
5606×*-lowering-*.f32
5606×*-lowering-*.f64
3046×/-lowering-/.f32
3046×/-lowering-/.f64
1034×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
018116
1101115
2803109
36742109
08052109
Stop Event
iter limit
node limit
Counts
13 → 998
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) tau))) (/ (sin (* x (PI))) (* x x))) (* (PI) (* (PI) tau)))
(* (sin (* x (* (PI) tau))) (/ (sin (* x (PI))) (* x x)))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* (PI) tau)
(/ (sin (* x (PI))) (* x x))
(* (PI) (* (PI) tau))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 x (PI.f32))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 tau) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.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 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
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(/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) #s(literal -1 binary32))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32)))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 tau (/.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 (PI.f32) tau) (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau) #s(literal 1 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (neg.f32 (neg.f32 tau)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 tau #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32))) (neg.f32 tau))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) (*.f32 (PI.f32) tau))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (PI.f32)))) tau)
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))

simplify275.0ms (1.8%)

Algorithm
egg-herbie
Rules
5302×*-lowering-*.f32
5302×*-lowering-*.f64
4992×+-lowering-+.f64
4992×+-lowering-+.f32
1182×sum3-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02863358
19803060
242452996
080862996
Stop Event
iter limit
node limit
Counts
252 → 252
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 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (pow (PI) 2))
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))
(+ (* 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))))))))))
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8)))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 3) (sin (* x (PI))))))) (/ (* (PI) (sin (* x (PI)))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI))))))))) (/ (* (PI) (sin (* x (PI)))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 5) (sin (* x (PI)))))))))) (/ (* (PI) (sin (* x (PI)))) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (pow x 2))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(/ (PI) x)
(/ (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) x)
(/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) x)
(/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))) x)
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(/ (sin (* x (PI))) (pow x 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 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))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (*.f32 x (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (+.f32 #s(literal -1/5040 binary32) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)))) (*.f32 #s(literal -1/720 binary32) (+.f32 (*.f32 tau tau) (pow.f32 tau #s(literal 4 binary32)))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 tau tau)) (PI.f32)) (sin.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))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (+.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) tau)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 4 binary32)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (pow.f32 x #s(literal 4 binary32))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 tau tau)))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
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(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 tau tau)))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 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)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 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))
(* 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))
(/ (PI) x)
(/.f32 (PI.f32) x)
(/ (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))) x)
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)
(/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))) x)
(/.f32 (+.f32 (PI.f32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))) x)
(/ (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))) x)
(/.f32 (+.f32 (PI.f32) (*.f32 x (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))) x)
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(/ (sin (* x (PI))) (pow x 2))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))

eval205.0ms (1.3%)

Compiler

Compiled 37698 to 2786 computations (92.6% saved)

prune220.0ms (1.4%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New1525321557
Fresh000
Picked112
Done000
Total1526331559
Accuracy
99.9%
Counts
1559 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
67.5%
(/.f32 (/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau)))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.0%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
79.4%
(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 tau (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
97.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))) tau)
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) tau)))
86.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
95.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
71.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
64.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
64.0%
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
65.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (*.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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
96.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
86.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.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))))
80.7%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
93.2%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
93.2%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
64.1%
#s(literal 1 binary32)
Compiler

Compiled 1557 to 873 computations (43.9% saved)

simplify347.0ms (2.2%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))
cost-diff0
(log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
cost-diff32
(*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32))
cost-diff6464
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff128
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
cost-diff0
(*.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))))
Rules
5922×*-lowering-*.f32
5922×*-lowering-*.f64
3934×/-lowering-/.f32
3934×/-lowering-/.f64
2628×*-commutative
Iterations

Useful iterations: 6 (0.0ms)

IterNodesCost
035363
1101360
2346353
31396350
43124349
53679348
63997347
74144347
84328347
94484347
106700347
116921347
126967347
136967347
146967347
156967347
167073347
177075347
187079347
197079347
207600347
08066347
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (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)))
1
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
1
(* x (* x (* -1/6 (* (PI) (PI)))))
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x)
(* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* (PI) tau))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1))
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
(log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))))
(/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))
(* (PI) (* (PI) tau))
(PI)
(* (PI) tau)
tau
(/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(/ (* x x) (sin (* x (PI))))
(* x x)
(sin (* x (PI)))
(* x (PI))
-1
Outputs
(* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))
(/ (sin (* x (* (PI) tau))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* x (PI))
(*.f32 x (PI.f32))
(/ (sin (* x (PI))) (* x (* (PI) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (/.f32 #s(literal 1 binary32) (*.f32 x (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
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
1
#s(literal 1 binary32)
(* x (* x (* -1/6 (* (PI) (PI)))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(* x (* -1/6 (* (PI) (PI))))
(*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
(* -1/6 (* (PI) (PI)))
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))
(* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/ (sin (* x (* (PI) tau))) (* (PI) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x)) (sin.f32 (*.f32 x (PI.f32)))))
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
(neg.f32 (log.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))))
(log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))))
(log.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))
(/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))
(/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)))
(* (PI) (* (PI) tau))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(PI)
(PI.f32)
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(/ (* x x) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(* x x)
(*.f32 x x)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
-1
#s(literal -1 binary32)

localize248.0ms (1.6%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
accuracy96.0%
(PI.f32)
accuracy60.8%
(log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy96.0%
(PI.f32)
accuracy99.0%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy97.0%
(*.f32 (PI.f32) (PI.f32))
accuracy96.0%
(PI.f32)
accuracy99.0%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
accuracy98.9%
(*.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))))
accuracy98.9%
(*.f32 (PI.f32) tau)
accuracy96.0%
(PI.f32)
Results
170.0ms245×0valid
6.0ms11×0invalid
Compiler

Compiled 389 to 36 computations (90.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 68.0ms
ival-mult: 24.0ms (35.2% of total)
ival-div: 14.0ms (20.5% of total)
ival-sin: 13.0ms (19.1% of total)
ival-log: 6.0ms (8.8% of total)
...c/correct-round.rkt:119:19: 5.0ms (7.3% of total)
ival-exp: 2.0ms (2.9% of total)
ival-pi: 1.0ms (1.5% of total)
ival-add: 1.0ms (1.5% of total)
const: 1.0ms (1.5% of total)
backward-pass: 0.0ms (0% of total)

series237.0ms (1.5%)

Counts
21 → 408
Calls
Call 1
Inputs
#<alt (* (/ (sin (* x (* (PI) tau))) (* x (PI))) (/ (sin (* x (PI))) (* x (* (PI) tau))))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (PI)))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x)>
#<alt (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (sin (* x (* (PI) tau))) (* (PI) tau))>
#<alt (exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1))>
#<alt (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)>
#<alt (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))))>
#<alt (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))>
#<alt (PI)>
#<alt (* (PI) tau)>
#<alt (* (PI) (PI))>
#<alt (* x (PI))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (* x x) (sin (* 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 tau>
#<alt (+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt tau>
#<alt (* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))>
#<alt (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))>
#<alt (* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
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tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 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))))))) (* tau (pow (PI) 2)))) (+ (* 1/362880 (* (pow tau 8) (pow (PI) 8))) (+ (* 1/362880 (pow (PI) 8)) (+ (* 1/30240 (* (pow tau 2) (pow (PI) 8))) (+ (* 1/30240 (* (pow tau 6) (pow (PI) 8))) (* 1/14400 (* (pow tau 4) (pow (PI) 8))))))))))) (+ (* -20160 (pow (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) 2)) (* -10080 (pow (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) 4)))))))) (* 1/720 (+ (* -720 (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))) (+ (* -720 (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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)))))))) (* -240 (pow (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) 3)))))))))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ 1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x))))>
#<alt (+ (log (/ (* tau (pow (PI) 2)) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))) (* -2 (log (/ -1 x))))>
#<alt (/ (* x (PI)) (sin (* x (PI))))>
#<alt (+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 3))) (sin (* x (PI))))) (/ (* x (PI)) (sin (* x (PI)))))>
#<alt (+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))>
#<alt (+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 7)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt 1>
#<alt (+ 1 (* -1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))>
#<alt (+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))))) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* 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 (* (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 (+ (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))))>
#<alt (* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI))))>
#<alt (* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (pow (PI) 5)) (+ (* 1/720 (pow (PI) 5)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))))))) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
#<alt (/ (pow x 2) (sin (* x (PI))))>
Calls

102 calls:

TimeVariablePointExpression
76.0ms
x
@inf
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
46.0ms
tau
@inf
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
32.0ms
tau
@-inf
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
24.0ms
x
@-inf
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
8.0ms
x
@0
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)

rewrite382.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
4446×*-lowering-*.f32
4446×*-lowering-*.f64
4332×/-lowering-/.f32
4332×/-lowering-/.f64
1062×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035243
1192237
21461226
08767226
Stop Event
iter limit
node limit
Counts
21 → 1998
Calls
Call 1
Inputs
(* (/ (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))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(/ (* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI)))) x)
(* (/ (sin (* x (* (PI) tau))) (* (PI) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* (PI) tau))
(exp (* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1))
(* (log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))) -1)
(log (/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI)))))))
(/ (* (PI) (* (PI) tau)) (/ (sin (* x (* (PI) tau))) (/ (* x x) (sin (* x (PI))))))
(PI)
(* (PI) tau)
(* (PI) (PI))
(* x (PI))
(/ (sin (* x (PI))) (* x (PI)))
(/ (* x x) (sin (* x (PI))))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (neg.f32 x) (/.f32 (*.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))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (neg.f32 tau))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) x)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (neg.f32 tau)))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (PI.f32) tau) (/.f32 (neg.f32 x) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32))))
(exp.f32 (log.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau)))))))
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(*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)))
(*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) x)
(*.f32 (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (neg.f32 x)))
(*.f32 (pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 x x)) #s(literal -1 binary32)) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x x))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))

simplify454.0ms (2.9%)

Algorithm
egg-herbie
Rules
5668×*-lowering-*.f32
5668×*-lowering-*.f64
5304×+-lowering-+.f64
5304×+-lowering-+.f32
2110×fma-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
062610717
124099138
279249138
080129138
Stop Event
iter limit
node limit
Counts
408 → 408
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))))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
tau
(+ tau (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 4)))))))
(+ tau (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 5) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
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(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
tau
(* tau (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))
(* tau (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))))))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
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(/ (sin (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* x (PI)))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* 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))))
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(sin (* tau (* x (PI))))
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(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))))
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(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
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(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
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(+ 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)))))))))))))
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1
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1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
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(sin (* tau (* x (PI))))
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(* 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))))
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1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (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))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
x
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(* x (+ 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)))))))))))
(* x (+ 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 (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (sin (* x (PI))) (PI))
(+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (PI)))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (PI)))
(+ (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (pow (PI) 2))))
x
(* x (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))))))
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(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 5)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 3)) (sin (* x (PI))))))) (/ (* x (PI)) (sin (* x (PI)))))
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(/ (* 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 (* tau (* x (PI)))) (sin (* x (PI)))))
1
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(/ (* 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)))))
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(/ (* 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 (PI))
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(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
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Outputs
1
#s(literal 1 binary32)
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tau
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1
#s(literal 1 binary32)
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x
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(+ 1 (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 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))))))))) (+ (* -1 (/ (* (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (neg.f32 (+.f32 (*.f32 (*.f32 x x) (-.f32 (-.f32 (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.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 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))))) (*.f32 (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))) (/.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* 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
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 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)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 6 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 (+ (* 1/6 (* (pow x 2) (PI))) (/ 1 (PI))))
(*.f32 x (+.f32 (*.f32 (*.f32 (*.f32 x x) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(* x (+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI))))
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 7/360 binary32))) (*.f32 (PI.f32) #s(literal 1/6 binary32))))))
(* x (+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (pow (PI) 5)) (+ (* 1/720 (pow (PI) 5)) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))))))) (+ (* -1/36 (pow (PI) 3)) (* 1/120 (pow (PI) 3))))) (* -1/6 (PI)))) (/ 1 (PI))))
(*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal -7/360 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/840 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 7/360 binary32)))) (*.f32 (PI.f32) #s(literal 1/6 binary32))))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))
(/ (pow x 2) (sin (* x (PI))))
(/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))

eval355.0ms (2.3%)

Compiler

Compiled 98313 to 8559 computations (91.3% saved)

prune580.0ms (3.8%)

Pruning

70 alts after pruning (68 fresh and 2 done)

PrunedKeptTotal
New3556553611
Fresh141327
Picked415
Done011
Total3574703644
Accuracy
99.9%
Counts
3644 → 70
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x)
86.1%
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau)
86.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (PI.f32) tau)) x)
86.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32))) tau)
86.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
97.6%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)))
64.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
97.0%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
96.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (PI.f32)))) x)
86.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) x)
71.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
86.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
71.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
64.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
91.4%
(/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
79.8%
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
64.0%
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
86.4%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
86.4%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (PI.f32) tau))))
86.1%
(/.f32 #s(literal 1 binary32) (/.f32 tau (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
81.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
86.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.0%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.1%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 #s(literal 1 binary32) tau))
80.2%
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
80.5%
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
85.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) x))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) tau))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
86.4%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
80.7%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.1%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.1%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau))
86.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
64.8%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
64.9%
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
92.6%
(exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))))) #s(literal -1 binary32)))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)))
81.8%
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
93.4%
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
93.0%
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
92.9%
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
64.1%
#s(literal 1 binary32)
Compiler

Compiled 3454 to 2096 computations (39.3% saved)

simplify451.0ms (2.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff128
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff128
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))
cost-diff64
(*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32))
cost-diff64
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)))
cost-diff0
(*.f32 x x)
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
cost-diff0
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
cost-diff0
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
Rules
4898×*-lowering-*.f32
4898×*-lowering-*.f64
1616×/-lowering-/.f32
1616×/-lowering-/.f64
1544×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
042341
1128332
2462324
32143313
45103311
08396311
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(/ (/ (sin (* x (PI))) (PI)) x)
(/ (sin (* x (PI))) (PI))
(sin (* x (PI)))
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI))))
1
(* (* -1/6 (* x x)) (* (PI) (PI)))
(* -1/6 (* x x))
-1/6
(* x x)
x
(* (PI) (PI))
(PI)
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1))
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)
(* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))))
(* x x)
x
(* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))
1/6
(* (+ (* tau tau) 1) (* (PI) (PI)))
(+ (* tau tau) 1)
(* tau tau)
tau
1
(* (PI) (PI))
(PI)
-1
(* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(/ (/ 1 (* x (PI))) tau)
(/ 1 (* x (PI)))
1
(* x (PI))
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
(* x (* x (* -1/6 (* (PI) (PI)))))
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x))
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))
(/ (sin (* x (PI))) (* (PI) tau))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(* (PI) tau)
tau
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (* x (PI)) x)
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x (PI)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(/ (/ (sin (* x (PI))) (PI)) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
1
#s(literal 1 binary32)
(* (* -1/6 (* x x)) (* (PI) (PI)))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(* -1/6 (* x x))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* x x)
(*.f32 x x)
x
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))))
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (-.f32 #s(literal -1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))))
(* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))))
(* x x)
(*.f32 x x)
x
(* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
1/6
#s(literal 1/6 binary32)
(* (+ (* tau tau) 1) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(+ (* tau tau) 1)
(+.f32 #s(literal 1 binary32) (*.f32 tau tau))
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
-1
#s(literal -1 binary32)
(* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32)))) tau)
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))) tau)
(/ (/ 1 (* x (PI))) tau)
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(* x (PI))
(*.f32 x (PI.f32))
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(* x (* x (* -1/6 (* (PI) (PI)))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(* x (* -1/6 (* (PI) (PI))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(* -1/6 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)))
(/ (sin (* x (PI))) (* (PI) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(* (* x (PI)) x)
(*.f32 (PI.f32) (*.f32 x x))

localize351.0ms (2.3%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))
accuracy98.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.8%
(*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))))
accuracy98.7%
(*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))
accuracy98.6%
(*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
accuracy98.8%
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
accuracy98.8%
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.0%
(*.f32 (*.f32 x (PI.f32)) tau)
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
Results
250.0ms256×0valid
Compiler

Compiled 383 to 43 computations (88.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 72.0ms
ival-mult: 30.0ms (41.9% of total)
ival-sin: 13.0ms (18.2% of total)
ival-div: 11.0ms (15.4% of total)
...c/correct-round.rkt:119:19: 7.0ms (9.8% of total)
ival-add: 4.0ms (5.6% of total)
ival-exp: 4.0ms (5.6% of total)
ival-pi: 1.0ms (1.4% of total)
const: 1.0ms (1.4% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.2%)

Counts
25 → 456
Calls
Call 1
Inputs
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (+ 1 (* (* -1/6 (* x x)) (* (PI) (PI))))>
#<alt (* (* -1/6 (* x x)) (* (PI) (PI)))>
#<alt (* -1/6 (* x x))>
#<alt (* x x)>
#<alt (exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1))>
#<alt (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)>
#<alt (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))))>
#<alt (* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))))>
#<alt (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x))>
#<alt (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))>
#<alt (/ (sin (* x (PI))) (* (PI) tau))>
#<alt (sin (* x (PI)))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (* x (PI))>
#<alt (* (PI) (PI))>
#<alt (* (+ (* tau tau) 1) (* (PI) (PI)))>
#<alt (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))>
#<alt (* (PI) tau)>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<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 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 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 (* -1/6 (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>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (* 1/72 (* (pow x 2) (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 2)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (* (pow x 2) (+ (* -1/1296 (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 3)))) (* 1/72 (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 2))))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))>
#<alt (+ (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/72 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))>
#<alt (+ (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/1296 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (exp (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/72 (* (pow x 4) (* (pow (PI) 4) (exp (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (exp (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
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#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (pow (PI) 2)>
#<alt (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))>
#<alt (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))>
#<alt (+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))>
#<alt (* (pow tau 2) (pow (PI) 2))>
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))>
#<alt (* 1/6 (pow (PI) 2))>
#<alt (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))>
#<alt (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))>
#<alt (+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))>
#<alt (* 1/6 (* (pow tau 2) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))>
#<alt (* 1/6 (* (pow tau 2) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))>
#<alt (* 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))>
Calls

114 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(/ (sin (* x (PI))) (PI))
3.0ms
tau
@0
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))
1.0ms
x
@0
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)
1.0ms
tau
@-inf
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))
1.0ms
tau
@0
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1))

rewrite304.0ms (2%)

Algorithm
batch-egg-rewrite
Rules
4316×*-lowering-*.f32
4316×*-lowering-*.f64
3190×/-lowering-/.f32
3190×/-lowering-/.f64
1046×sum5-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
042234
1203224
21335220
37591211
08135211
Stop Event
iter limit
node limit
Counts
25 → 1145
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (/ (sin (* x (PI))) (PI)) x))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(+ 1 (* (* -1/6 (* x x)) (* (PI) (PI))))
(* (* -1/6 (* x x)) (* (PI) (PI)))
(* -1/6 (* x x))
(* x x)
(exp (* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1))
(* (* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))) -1)
(* (* x x) (* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI)))))
(* (sin (* x (* (PI) tau))) (* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))))
(* (/ (/ 1 (* x (PI))) tau) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau)))) (* (* x (PI)) x))
(* (/ (sin (* x (PI))) (* (PI) tau)) (sin (* x (* (PI) tau))))
(/ (sin (* x (PI))) (* (PI) tau))
(sin (* x (PI)))
(/ (sin (* x (PI))) (PI))
(* x (PI))
(* (PI) (PI))
(* (+ (* tau tau) 1) (* (PI) (PI)))
(* 1/6 (* (+ (* tau tau) 1) (* (PI) (PI))))
(* (PI) tau)
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (/.f32 (/.f32 #s(literal -1 binary32) x) (PI.f32)) tau)))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 x)))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(neg.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) tau))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 (PI.f32) tau)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) (neg.f32 x))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (neg.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x tau) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 (*.f32 x (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (neg.f32 x)) (neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal -1 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (neg.f32 (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (/.f32 (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 x (PI.f32))))
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(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 #s(literal -1 binary32) x) (PI.f32)))
(/.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal -1 binary32) x))
(/.f32 (*.f32 (PI.f32) (neg.f32 x)) #s(literal -1 binary32))
(*.f32 x (PI.f32))
(*.f32 (PI.f32) x)
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 #s(literal -1 binary32) (*.f32 (PI.f32) (neg.f32 x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 x))
(*.f32 (neg.f32 (PI.f32)) (/.f32 x #s(literal -1 binary32)))
(*.f32 (neg.f32 x) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 x) (/.f32 (PI.f32) #s(literal -1 binary32)))
(*.f32 (*.f32 (PI.f32) (neg.f32 x)) #s(literal -1 binary32))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) x)) (neg.f32 (PI.f32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) (neg.f32 x))
(exp.f32 (*.f32 #s(literal 2 binary32) (log.f32 (PI.f32))))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 (PI.f32))) #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 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 6 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))
(fma.f32 (PI.f32) (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)))
(fma.f32 (*.f32 tau tau) (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (PI.f32))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))
(+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal 1/6 binary32)))
(+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 tau tau)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (*.f32 tau tau)) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) #s(literal 1/6 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(+.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))))
(+.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))) (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))))
(*.f32 (PI.f32) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))))
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) #s(literal 1/6 binary32))
(*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (*.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (PI.f32))
(*.f32 (*.f32 (PI.f32) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))) (PI.f32))
(*.f32 (*.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (/.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 tau))
(*.f32 (neg.f32 tau) (neg.f32 (PI.f32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))

simplify359.0ms (2.3%)

Algorithm
egg-herbie
Rules
6880×*-lowering-*.f32
6880×*-lowering-*.f64
2018×+-lowering-+.f64
2018×+-lowering-+.f32
1812×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04606518
116635643
272265618
086075618
Stop Event
iter limit
node limit
Counts
456 → 456
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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))))
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(/ (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))))
(* (pow x 2) (PI))
(* (pow x 2) (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* (pow x 2) (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(* (pow x 2) (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(* x (sin (* x (PI))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI))))))) (* x (sin (* x (PI)))))
(+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (* x (sin (* x (PI)))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (PI)))
(/ x tau)
(* x (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) tau)) (/ 1 tau)))
(* x (+ (* (pow x 2) (+ (* -1/6 (/ (pow (PI) 2) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) tau)))) (/ 1 tau)))
(* x (+ (* (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 (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(/ (sin (* x (PI))) (* tau (PI)))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(pow (PI) 2)
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))
(* (pow tau 2) (pow (PI) 2))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(* (pow tau 2) (pow (PI) 2))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(* 1/6 (pow (PI) 2))
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))
(* 1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(* 1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 (*.f32 tau tau) #s(literal -1/720 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -1/720 binary32))))))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 x (*.f32 tau tau)) (PI.f32)) (sin.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))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (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))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 tau tau)))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) tau)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
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(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/ (sin (* x (PI))) (* tau (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 x (+.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(*.f32 x (+.f32 (PI.f32) (*.f32 x (*.f32 x (+.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (*.f32 (*.f32 x x) #s(literal -1/5040 binary32))))))))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) #s(literal 1/120 binary32))))))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 x (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32))))))))))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(* 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))
(pow (PI) 2)
(*.f32 (PI.f32) (PI.f32))
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(+ (* (pow tau 2) (pow (PI) 2)) (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(* (pow tau 2) (pow (PI) 2))
(*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(*.f32 (*.f32 tau tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(*.f32 (*.f32 tau tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(*.f32 (*.f32 tau tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (pow (PI) 2))
(*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(*.f32 (*.f32 tau tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(*.f32 (*.f32 tau tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (/ (pow (PI) 2) (pow tau 2)) (pow (PI) 2)))
(*.f32 (*.f32 tau tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* 1/6 (pow (PI) 2))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))))
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))))
(+ (* 1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/6 (pow (PI) 2)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32))))
(* 1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 tau (*.f32 tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* 1/6 (* (pow tau 2) (pow (PI) 2)))
(*.f32 tau (*.f32 tau (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* (pow tau 2) (+ (* 1/6 (/ (pow (PI) 2) (pow tau 2))) (* 1/6 (pow (PI) 2))))
(*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau))))
(* 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))

eval242.0ms (1.6%)

Compiler

Compiled 51544 to 4302 computations (91.7% saved)

prune430.0ms (2.8%)

Pruning

105 alts after pruning (101 fresh and 4 done)

PrunedKeptTotal
New2110512161
Fresh135063
Picked235
Done112
Total21261052231
Accuracy
99.9%
Counts
2231 → 105
Alt Table
Click to see full alt table
StatusAccuracyProgram
64.9%
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
97.8%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x)
86.1%
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau)
86.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (PI.f32) tau)) x)
86.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
97.6%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)))
64.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
97.0%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
67.6%
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
86.1%
(/.f32 (*.f32 (/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
96.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
96.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (PI.f32)))) x)
86.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))) x)
71.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
64.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) x))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) x))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
71.1%
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
85.9%
(/.f32 (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
86.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
71.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
64.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
79.8%
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
64.0%
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
86.2%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 tau (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32)))))
86.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
81.3%
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))))
64.9%
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
81.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
81.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
86.1%
(*.f32 (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.2%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
97.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
86.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.1%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.0%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
97.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
86.1%
(*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))
80.2%
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
80.5%
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
96.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
85.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
86.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) x))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) tau))
80.7%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.1%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.1%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 #s(literal 1 binary32) tau))
64.7%
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
80.1%
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
80.3%
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.0%
(*.f32 (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.1%
(*.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.5%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau))))
86.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))) tau))
86.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
85.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 tau (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))) (*.f32 tau tau)))
86.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 tau (/.f32 #s(literal 1 binary32) x))) (*.f32 tau (*.f32 (PI.f32) tau))))
86.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 tau (*.f32 x (*.f32 (PI.f32) tau)))))
85.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) x) (*.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x tau)))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
86.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 #s(literal 1 binary32) x)) (*.f32 (PI.f32) tau)))
86.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
71.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
86.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)))
85.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) tau))))))
86.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
4.4%
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
64.8%
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
92.6%
(exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))))) #s(literal -1 binary32)))
81.8%
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))))
81.8%
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
81.8%
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
93.4%
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
92.9%
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
81.8%
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
64.1%
#s(literal 1 binary32)
Compiler

Compiled 5259 to 3189 computations (39.4% saved)

simplify239.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff320
(+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff320
(/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau)))
cost-diff320
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau)
cost-diff0
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x))
cost-diff256
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (PI.f32) (PI.f32))
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))
cost-diff0
(*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
cost-diff0
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
cost-diff0
(*.f32 x (PI.f32))
cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
Rules
4852×*-lowering-*.f32
4852×*-lowering-*.f64
3340×fma-define
2166×*-commutative
1988×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
035406
1111382
2403348
31990346
42968345
53655345
64232345
74320345
84432345
95314345
106035345
116276345
127246345
137772345
147900345
157900345
08180345
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))))
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
(* x (PI))
x
(PI)
(/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))
(* (PI) (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
tau
(sin (* x (* (PI) tau)))
(* x (* x (* -1/6 (* (PI) (PI)))))
x
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(PI)
(/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau)))
(* (sin (* x (PI))) (/ (* tau (PI)) x))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(/ (* tau (PI)) x)
(* tau (PI))
tau
(* (PI) (* (PI) tau))
(* (PI) tau)
(/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI)))
(/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau)
(* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
1
(* x (* x (* -1/6 (* (PI) (PI)))))
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(* x (PI))
(* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))
(+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI)))))))
(* (/ 1 (* (PI) tau)) (* x (* (PI) tau)))
(/ 1 (* (PI) tau))
1
(* x (* x (* x (* -1/6 (* (PI) (PI))))))
(* x (* x (* -1/6 (* (PI) (PI)))))
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
-1/6
(* (PI) (PI))
(* (* x (PI)) (* x tau))
(* x (PI))
(* x tau)
Outputs
(/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/ (sin (* x (PI))) x)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) x)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(* (PI) (* x (* (PI) tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* x (* -1/6 (* (PI) (PI)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
x
(* x (* -1/6 (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(* -1/6 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(* (sin (* x (PI))) (/ (* tau (PI)) x))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) x))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(/ (* tau (PI)) x)
(/.f32 (*.f32 (PI.f32) tau) x)
(* tau (PI))
(*.f32 (PI.f32) tau)
tau
(* (PI) (* (PI) tau))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) tau)
(* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
(+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* x (* x (* -1/6 (* (PI) (PI)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(* x (* -1/6 (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(* -1/6 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))))
(/.f32 (*.f32 x (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))
(/.f32 (*.f32 x (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI)))))))
(*.f32 x (+.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(* (/ 1 (* (PI) tau)) (* x (* (PI) tau)))
x
(/ 1 (* (PI) tau))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
1
#s(literal 1 binary32)
(* x (* x (* x (* -1/6 (* (PI) (PI))))))
(*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(* x (* x (* -1/6 (* (PI) (PI)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(* x (* -1/6 (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(* -1/6 (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(* (* x (PI)) (* x tau))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(* x (PI))
(*.f32 x (PI.f32))
(* x tau)
(*.f32 x tau)

localize327.0ms (2.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.0%
(*.f32 x (PI.f32))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.8%
(*.f32 tau (PI.f32))
accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x))
accuracy100.0%
(PI.f32)
accuracy99.8%
(*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))
accuracy99.1%
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
accuracy98.8%
(*.f32 (PI.f32) tau)
accuracy98.8%
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
Results
214.0ms256×0valid
Compiler

Compiled 448 to 36 computations (92% saved)

Precisions
Click to see histograms. Total time spent on operations: 61.0ms
ival-mult: 28.0ms (45.9% of total)
ival-div: 17.0ms (27.8% of total)
ival-sin: 8.0ms (13.1% of total)
...c/correct-round.rkt:119:19: 4.0ms (6.6% of total)
ival-add: 2.0ms (3.3% of total)
ival-pi: 1.0ms (1.6% of total)
const: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series42.0ms (0.3%)

Counts
24 → 420
Calls
Call 1
Inputs
#<alt (/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))))>
#<alt (/ (sin (* x (PI))) x)>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (* x (* -1/6 (* (PI) (PI)))))>
#<alt (* x (* -1/6 (* (PI) (PI))))>
#<alt (* -1/6 (* (PI) (PI)))>
#<alt (* (PI) (PI))>
#<alt (/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau)))>
#<alt (* (sin (* x (PI))) (/ (* tau (PI)) x))>
#<alt (/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI)))>
#<alt (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau)>
#<alt (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))))>
#<alt (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))>
#<alt (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI)))))))>
#<alt (* (/ 1 (* (PI) tau)) (* x (* (PI) tau)))>
#<alt (* (PI) (* x (* (PI) tau)))>
#<alt (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))>
#<alt (* (PI) tau)>
#<alt (PI)>
#<alt (* tau (PI))>
#<alt (* (* x (PI)) (* x tau))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (PI)>
#<alt (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))>
#<alt (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))>
#<alt (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
#<alt (/ (sin (* x (PI))) x)>
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#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (* -1/6 (/ (* x (PI)) tau))>
#<alt (* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))>
#<alt (* -1/6 (/ (* x (PI)) tau))>
#<alt (* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))>
#<alt (* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))>
#<alt (* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow x 3) (pow (PI) 2)))>
#<alt (* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 3) (pow (PI) 2)))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))>
#<alt (* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt x>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))>
#<alt (+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (* (pow x 2) (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)))>
Calls

105 calls:

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

rewrite320.0ms (2.1%)

Algorithm
batch-egg-rewrite
Rules
4406×*-lowering-*.f32
4406×*-lowering-*.f64
4110×/-lowering-/.f32
4110×/-lowering-/.f64
972×frac-2neg
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
035272
1195252
21369210
37160210
08214210
Stop Event
iter limit
node limit
Counts
24 → 1030
Calls
Call 1
Inputs
(/ (/ (sin (* x (PI))) x) (/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau)))))
(/ (sin (* x (PI))) x)
(sin (* x (PI)))
(* x (PI))
(* x (* x (* -1/6 (* (PI) (PI)))))
(* x (* -1/6 (* (PI) (PI))))
(* -1/6 (* (PI) (PI)))
(* (PI) (PI))
(/ (* (sin (* x (PI))) (/ (* tau (PI)) x)) (* (PI) (* (PI) tau)))
(* (sin (* x (PI))) (/ (* tau (PI)) x))
(/ (/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau) (* x (PI)))
(/ (* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))) tau)
(* (sin (* x (* (PI) tau))) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
(sin (* x (* (PI) tau)))
(* (sin (* x (* (PI) tau))) (/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau))))
(/ (+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI))))))) (* (* x (PI)) (* x tau)))
(+ (* (/ 1 (* (PI) tau)) (* x (* (PI) tau))) (* x (* x (* x (* -1/6 (* (PI) (PI)))))))
(* (/ 1 (* (PI) tau)) (* x (* (PI) tau)))
(* (PI) (* x (* (PI) tau)))
(/ (* (PI) (* x (* (PI) tau))) (sin (* x (* (PI) tau))))
(* (PI) tau)
(PI)
(* tau (PI))
(* (* x (PI)) (* x tau))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))))
(neg.f32 (/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (neg.f32 x) (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))))
(/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 x (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (neg.f32 x) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
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(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 5/2 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 1/3 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sqrt.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 4 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(expm1.f32 (log1p.f32 (PI.f32)))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 (PI.f32) tau)))))
(pow.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau)
(/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau))
(/.f32 tau (/.f32 #s(literal 1 binary32) (PI.f32)))
(/.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (*.f32 (PI.f32) tau)))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(/.f32 (neg.f32 tau) (/.f32 #s(literal -1 binary32) (PI.f32)))
(/.f32 (neg.f32 (PI.f32)) (/.f32 #s(literal -1 binary32) tau))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(*.f32 tau (neg.f32 (neg.f32 (PI.f32))))
(*.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau)) #s(literal -1 binary32))
(*.f32 (neg.f32 tau) (neg.f32 (PI.f32)))
(*.f32 (neg.f32 (PI.f32)) (neg.f32 tau))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) tau)
(*.f32 (/.f32 (PI.f32) #s(literal -1 binary32)) (neg.f32 tau))
(*.f32 (/.f32 tau #s(literal -1 binary32)) (neg.f32 (PI.f32)))
(*.f32 (/.f32 tau (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (/.f32 tau (pow.f32 (PI.f32) #s(literal -1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal -1 binary32) (PI.f32))) (neg.f32 tau))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal -1 binary32))
(*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x tau))))
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x tau)))
(*.f32 (neg.f32 x) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 x (*.f32 x (PI.f32))) tau)
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x tau)) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (PI.f32)))) (neg.f32 tau))
(*.f32 (*.f32 x (*.f32 x tau)) (PI.f32))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x tau))) (*.f32 x (PI.f32)))
(*.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 x (PI.f32))))) tau)

simplify642.0ms (4.2%)

Algorithm
egg-herbie
Rules
7020×*-lowering-*.f32
7020×*-lowering-*.f64
3236×+-lowering-+.f64
3236×+-lowering-+.f32
1722×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04856224
118155432
267655430
080715430
Stop Event
iter limit
node limit
Counts
420 → 420
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(PI)
(+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5))))))
(+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5)))))))
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(/ (sin (* x (PI))) x)
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* 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) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
(* -1/6 (* x (pow (PI) 2)))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (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)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* tau (pow (PI) 2))
(+ (* -1/6 (* tau (* (pow x 2) (pow (PI) 4)))) (* tau (pow (PI) 2)))
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* 1/120 (* tau (* (pow x 2) (pow (PI) 6)))))))
(+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* (pow x 2) (+ (* -1/5040 (* tau (* (pow x 2) (pow (PI) 8)))) (* 1/120 (* tau (pow (PI) 6))))))))
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
(/ (* tau (* (PI) (sin (* x (PI))))) x)
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))
(* x (PI))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (* 1/36 (* (pow tau 2) (pow (PI) 5))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (* -1/5040 (* (pow tau 6) (pow (PI) 7)))))))))))))
(* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))) tau))
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2)))))
(* -1/6 (/ (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))) tau))
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2)))))
(* (pow x 2) (+ (* -1/6 (/ (* (pow (PI) 2) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (pow x 2)))))
(* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))
(+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
(+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))
(+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(* tau (* x (PI)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(* tau (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))
(* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) x)
(+ 1 (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))))))))))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (* (sin (* tau (* x (PI)))) (+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ (+ x (* -1/6 (* (pow x 3) (pow (PI) 2)))) (* tau (* (pow x 2) (PI))))
(/ 1 (* tau (* x (PI))))
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)
(* -1/6 (/ (* x (PI)) tau))
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))
(* x (+ (* -1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI))))))
(* -1/6 (/ (* x (PI)) tau))
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))
(* -1 (* x (- (* 1/6 (/ (PI) tau)) (/ 1 (* tau (* (pow x 2) (PI)))))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (* (pow x 3) (pow (PI) 2)))
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* -1/6 (* (pow x 3) (pow (PI) 2)))
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (* (pow x 2) (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)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 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))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (+.f32 (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (+.f32 (pow.f32 tau #s(literal 6 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 6 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 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))))
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(+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))
(+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) tau)
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) tau))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5))))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (*.f32 x (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7)))))))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau))))) (*.f32 x (*.f32 x (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 7 binary32)))))))))))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))))
(*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* tau (* x (PI)))))))
(*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (sin (* tau (* x (PI)))))) (/ (sin (* tau (* x (PI)))) (pow x 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x x))))
(* tau (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)))))))
(* tau (+ (* x (* (PI) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau tau)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 tau #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (pow.f32 tau #s(literal 7 binary32)) #s(literal -1/5040 binary32)))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau (pow.f32 x #s(literal 5 binary32)))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 7 binary32))))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
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(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(+ x (* -1/6 (* (pow x 3) (pow (PI) 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* -1/6 (* (pow x 3) (pow (PI) 2)))
(*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* (pow x 3) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* -1/6 (* (pow x 3) (pow (PI) 2)))
(*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x))) #s(literal -1 binary32)))
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x))) #s(literal -1 binary32)))
(* -1 (* (pow x 3) (- (* 1/6 (pow (PI) 2)) (/ 1 (pow x 2)))))
(*.f32 (*.f32 x (*.f32 x x)) (*.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal -1 binary32) (*.f32 x x))) #s(literal -1 binary32)))
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
x
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(PI)
(PI.f32)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(+.f32 (PI.f32) (*.f32 (*.f32 x x) (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32)))))))
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(+.f32 (PI.f32) (*.f32 x (*.f32 x (+.f32 (*.f32 (*.f32 x x) (-.f32 (*.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal 7/360 binary32)) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 tau #s(literal 4 binary32)) #s(literal -7/360 binary32)))))) (*.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) #s(literal 1/840 binary32)))))) (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(PI)
(PI.f32)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32))))
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(+.f32 (PI.f32) (*.f32 tau (*.f32 tau (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 x x))) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/360 binary32))))))))
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(+.f32 (PI.f32) (*.f32 tau (*.f32 tau (+.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 4 binary32))) #s(literal 7/360 binary32)) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal -7/360 binary32))) (*.f32 x x)))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (pow.f32 x #s(literal 6 binary32))) #s(literal 1/840 binary32)))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 x x)))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (* (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))))
(* 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))))
(* 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))))

eval338.0ms (2.2%)

Compiler

Compiled 85579 to 7696 computations (91% saved)

prune651.0ms (4.2%)

Pruning

144 alts after pruning (139 fresh and 5 done)

PrunedKeptTotal
New2963763039
Fresh336396
Picked415
Done044
Total30001443144
Accuracy
99.9%
Counts
3144 → 144
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.8%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)
97.4%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))
67.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x)
86.1%
(/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) tau)
80.1%
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
64.7%
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
80.4%
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
86.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
85.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
85.6%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
86.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
86.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))) tau) (*.f32 x (PI.f32)))
85.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x tau)) (PI.f32)))
86.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))
86.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau)))
86.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))))
79.2%
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
63.9%
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
97.1%
(/.f32 (/.f32 (sin.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x (PI.f32))) tau)) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
97.6%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)))
64.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
96.3%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau)))))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
97.2%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 (PI.f32) tau)))))))))
79.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (+.f32 (PI.f32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/6 binary32)))))
97.4%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
64.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
86.2%
(/.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (PI.f32)))
97.0%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
86.2%
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
86.2%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))))
67.6%
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
80.6%
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
86.5%
(/.f32 (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
86.4%
(/.f32 (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) x) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau))
86.2%
(/.f32 (*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
86.2%
(/.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) x)
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
96.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
86.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) x)
71.4%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
86.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) tau)) x)
86.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (PI.f32)))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) x))
97.7%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
71.1%
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
64.7%
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
86.0%
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32)))) (neg.f32 tau))
63.9%
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
64.9%
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
64.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
71.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
86.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
64.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
64.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau))))
79.4%
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
79.8%
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
64.9%
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
64.0%
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
86.4%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
86.2%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 tau (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32)))))
71.4%
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
86.6%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))))
85.9%
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))) (*.f32 x (*.f32 x (PI.f32))))))
81.3%
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))))
86.1%
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (/.f32 tau (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
85.5%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32)))))))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
64.9%
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
81.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
81.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
81.3%
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
97.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
97.2%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
86.0%
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau))
86.1%
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)))
86.0%
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x tau)))
80.2%
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
80.5%
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
85.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (+.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
71.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
86.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
97.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
85.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 x tau)))
80.7%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.1%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
4.4%
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
64.7%
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
79.8%
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
80.1%
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
64.6%
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
80.3%
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
79.9%
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
86.0%
(*.f32 (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.1%
(*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.5%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.4%
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 x (PI.f32)) (*.f32 (PI.f32) tau)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 tau (/.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 tau (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))) (*.f32 tau tau)))
85.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.4%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x #s(literal -1/6 binary32))) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
85.6%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau)) (*.f32 x tau))))
85.5%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau))))
71.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
71.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
86.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
86.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 x (*.f32 x x)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (PI.f32)))))
85.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) tau))))))
85.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))))
86.7%
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
4.4%
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
4.4%
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
4.4%
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
81.8%
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))))
81.8%
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
81.8%
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
81.8%
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
93.4%
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
92.9%
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
81.8%
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
64.1%
#s(literal 1 binary32)
Compiler

Compiled 9423 to 3187 computations (66.2% saved)

regimes281.0ms (1.8%)

Counts
216 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32)))))))
(*.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.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 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32))))) tau)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (*.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x)) (/.f32 (PI.f32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (sin.f32 (/.f32 tau (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) x))
(/.f32 (*.f32 (/.f32 (sin.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) x))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 (PI.f32) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) x)) x) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau)))))
(/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))) #s(literal 2 binary32)))
(/.f32 (/.f32 (sin.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x (PI.f32))) tau)) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 2 binary32))) x)
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x x) #s(literal 2 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 tau #s(literal 1 binary32)))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (/.f32 #s(literal 1 binary32) (*.f32 x x))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) (pow.f32 (/.f32 x (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x x))) (/.f32 tau (sin.f32 (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (*.f32 x x) (sin.f32 (*.f32 x (PI.f32))))))) #s(literal -1 binary32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 tau (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 (PI.f32) tau)))))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) 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 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))))
(exp.f32 (*.f32 (+.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) (log.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (*.f32 (PI.f32) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x x))))))) #s(literal -1 binary32)))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

66.0ms
(*.f32 x (PI.f32))
64.0ms
(*.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))))
61.0ms
tau
58.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
98.2%1tau
98.2%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))))
98.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes177.0ms (1.1%)

Counts
173 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32)))))))
(*.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 (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

3 calls:

52.0ms
(*.f32 x (PI.f32))
49.0ms
tau
47.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1(*.f32 x (PI.f32))
98.0%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes157.0ms (1%)

Counts
167 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32))))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))))
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(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))) (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (+.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 x (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (/.f32 x tau)) (PI.f32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) x) (*.f32 tau (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)))) (*.f32 x tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) x) (PI.f32)) tau) (*.f32 tau (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))))) (*.f32 tau tau)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 tau (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 tau (/.f32 #s(literal 1 binary32) x))) (*.f32 tau (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 tau (/.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 (/.f32 x (PI.f32)) (*.f32 (PI.f32) tau)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) tau) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (/.f32 (*.f32 (PI.f32) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 x #s(literal -1/6 binary32))) (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (PI.f32)) (/.f32 #s(literal 1 binary32) tau)) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (/.f32 (*.f32 (PI.f32) tau) tau)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) tau))) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (-.f32 (/.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) (/.f32 #s(literal 1 binary32) tau)) tau))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 x x)) #s(literal 1/120 binary32)))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

48.0ms
tau
45.0ms
x
44.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.8%1x
86.8%1tau
86.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes80.0ms (0.5%)

Counts
81 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32))))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) x))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (*.f32 x x) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (+.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x (PI.f32)))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))) tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) tau))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
Calls

3 calls:

24.0ms
tau
24.0ms
(*.f32 x (PI.f32))
22.0ms
x
Results
AccuracySegmentsBranch
86.7%1x
86.7%1tau
86.7%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes87.0ms (0.6%)

Counts
69 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32))))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (*.f32 (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (PI.f32) (PI.f32))))) #s(literal -1 binary32)))
(/.f32 #s(literal 1 binary32) (exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1/6 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau tau)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (PI.f32) (/.f32 #s(literal 1 binary32) tau)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (-.f32 (+.f32 (PI.f32) #s(literal 1 binary32)) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) x))
Outputs
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
Calls

3 calls:

39.0ms
tau
20.0ms
x
19.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
81.8%1x
81.8%1(*.f32 x (PI.f32))
81.8%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes63.0ms (0.4%)

Counts
61 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))) (neg.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (neg.f32 (PI.f32))))
Outputs
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
Calls

3 calls:

19.0ms
x
17.0ms
(*.f32 x (PI.f32))
17.0ms
tau
Results
AccuracySegmentsBranch
81.8%1tau
81.8%1x
81.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes56.0ms (0.4%)

Counts
58 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) #s(literal -1/6 binary32)))
(/.f32 (PI.f32) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (/.f32 x tau) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) x))
Outputs
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
Calls

3 calls:

17.0ms
x
17.0ms
tau
15.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
81.8%1x
81.8%1tau
81.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes59.0ms (0.4%)

Counts
52 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
Outputs
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
Calls

3 calls:

19.0ms
(*.f32 x (PI.f32))
17.0ms
tau
16.0ms
x
Results
AccuracySegmentsBranch
81.8%1x
81.8%1tau
81.8%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes55.0ms (0.4%)

Counts
50 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (/.f32 (*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (PI.f32)) (*.f32 x (*.f32 x x))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (+.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(*.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau tau)) #s(literal -1/6 binary32))))) (/.f32 (+.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) x)
(fma.f32 (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32) #s(literal 1 binary32))
(*.f32 tau (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x tau)) (*.f32 (PI.f32) tau))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)) x)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
Calls

3 calls:

19.0ms
tau
16.0ms
(*.f32 x (PI.f32))
13.0ms
x
Results
AccuracySegmentsBranch
81.3%1x
81.3%1(*.f32 x (PI.f32))
81.3%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes30.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
Calls

3 calls:

11.0ms
x
8.0ms
tau
8.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
81.3%1x
81.3%1(*.f32 x (PI.f32))
81.3%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.2%)

Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
Calls

3 calls:

17.0ms
(*.f32 x (PI.f32))
8.0ms
tau
8.0ms
x
Results
AccuracySegmentsBranch
81.3%1x
81.3%1(*.f32 x (PI.f32))
81.3%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes29.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))))) tau) (*.f32 x (PI.f32)))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Calls

3 calls:

10.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
x
Results
AccuracySegmentsBranch
81.1%1tau
81.1%1x
81.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes24.0ms (0.2%)

Counts
23 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) x)
(/.f32 (/.f32 (*.f32 (*.f32 x (*.f32 tau (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) tau) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))
(/.f32 (*.f32 x (+.f32 (PI.f32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32)))))) (*.f32 x (PI.f32)))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
Calls

3 calls:

9.0ms
x
7.0ms
(*.f32 x (PI.f32))
7.0ms
tau
Results
AccuracySegmentsBranch
80.1%1tau
80.1%1x
80.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes20.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
Calls

3 calls:

9.0ms
x
5.0ms
tau
5.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.1%1x
80.1%1(*.f32 x (PI.f32))
80.1%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes18.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(/.f32 (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 tau (PI.f32)) x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
Outputs
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
Calls

3 calls:

7.0ms
x
5.0ms
tau
5.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
64.9%1x
64.9%1(*.f32 x (PI.f32))
64.9%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes13.0ms (0.1%)

Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) #s(literal -1/6 binary32)))
(+.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) tau) (*.f32 x (PI.f32)))
(*.f32 #s(literal 1 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
Calls

3 calls:

4.0ms
(*.f32 x (PI.f32))
4.0ms
tau
4.0ms
x
Results
AccuracySegmentsBranch
64.9%1tau
64.9%1x
64.9%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes8.0ms (0%)

Accuracy

Total -19.4b remaining (-168.9%)

Threshold costs -19.4b (-168.9%)

Counts
5 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32)))
(*.f32 x (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) #s(literal -1/6 binary32))) (PI.f32))
Outputs
#s(literal 1 binary32)
Calls

2 calls:

5.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
64.1%1x
64.1%1tau
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify23.0ms (0.2%)

Algorithm
egg-herbie
Rules
142×*-commutative_binary32
68×neg-mul-1_binary32
58×+-commutative_binary32
50×unsub-neg_binary32
48×distribute-rgt-neg-in_binary32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
089349
1170349
2197347
3231347
4282347
5352347
6374347
7392347
8401347
9403347
Stop Event
saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 (*.f32 x (PI.f32)) tau)))
(exp.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (-.f32 #s(literal -1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (neg.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(exp.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))) (-.f32 #s(literal -1 binary32) (*.f32 tau tau))))
(exp.f32 (*.f32 (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))) x))
(exp.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))))
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(exp.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (*.f32 (*.f32 tau tau) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))))))))
(+.f32 #s(literal 1 binary32) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))))))
(/.f32 (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))) x)
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
#s(literal 1 binary32)

soundness3.6s (23.3%)

Rules
7020×*-lowering-*.f32
7020×*-lowering-*.f64
6880×*-lowering-*.f32
6880×*-lowering-*.f64
5668×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01021
12321
28021
328418
467718
5103618
6107218
7107218
0107218
04606518
116635643
272265618
086075618
042234
1203224
21335220
37591211
08135211
062610717
124099138
279249138
080129138
02863358
19803060
242452996
080862996
018116
1101115
2803109
36742109
08052109
04856224
118155432
267655430
080715430
035243
1192237
21461226
08767226
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
Compiler

Compiled 782 to 371 computations (52.6% saved)

preprocess118.0ms (0.8%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1756 to 630 computations (64.1% saved)

end0.0ms (0%)

Profiling

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