Lanczos kernel

Time bar (total: 15.6s)

analyze68.0ms (0.4%)

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: 27.0ms
...c/correct-round.rkt:119:19: 14.0ms (51% of total)
ival-sin: 4.0ms (14.6% of total)
ival-mult: 3.0ms (10.9% of total)
ival-div: 2.0ms (7.3% of total)
ival-<=: 2.0ms (7.3% of total)
ival-pi: 1.0ms (3.6% of total)
ival-and: 1.0ms (3.6% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample1.8s (11.5%)

Results
1.5s8256×0valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-sin: 363.0ms (32.7% of total)
ival-mult: 202.0ms (18.2% of total)
...c/correct-round.rkt:119:19: 184.0ms (16.6% of total)
ival-<=: 147.0ms (13.3% of total)
ival-div: 121.0ms (10.9% of total)
ival-pi: 49.0ms (4.4% of total)
ival-and: 33.0ms (3% of total)
const: 7.0ms (0.6% of total)
backward-pass: 3.0ms (0.3% of total)
Bogosity

preprocess86.0ms (0.6%)

Algorithm
egg-herbie
Rules
892×fma-define
834×associate-*l*
792×fnmadd-define
766×distribute-lft-neg-in
754×distribute-frac-neg2
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032136
1106136
2488128
32592110
45365110
01021
12321
28021
328418
467918
5105918
6109018
7109018
0109018
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))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
Call 2
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* tau (square (* x (PI))))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* (PI) (* x 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 (* (PI) (* x 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 (* (PI) (* x tau))) (/ (sin (* x (PI))) (* tau (neg (square (* x (PI)))))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
(* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* (PI) tau)) (square (* (PI) tau))))
Symmetry

(abs x)

(abs tau)

explain167.0ms (1.1%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
20-2(0.3533918857574463 2.8536336421966553)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
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)
Results
123.0ms512×0valid
Compiler

Compiled 153 to 32 computations (79.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 80.0ms
ival-sin: 35.0ms (43.8% of total)
ival-mult: 34.0ms (42.5% of total)
ival-div: 8.0ms (10% of total)
ival-pi: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
backward-pass: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 23 to 12 computations (47.8% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.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 22 computations (52.2% saved)

simplify33.0ms (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))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.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
672×times-frac
578×*-lowering-*.f32
578×*-lowering-*.f64
548×associate-/r*
540×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
017134
148134
2156125
3571124
41117124
51200124
61200124
01200124
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 (* (PI) (* x (* (PI) tau)))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (PI)))
(* x (PI))
(* x (* (PI) (* x (* (PI) tau))))
(* (PI) (* x (* (PI) tau)))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (* x (PI)) tau)
(*.f32 (PI.f32) (*.f32 x tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* (PI) (* x (* (PI) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (* (PI) (* x (* (PI) tau))))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(* (PI) (* x (* (PI) tau)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))

localize103.0ms (0.7%)

Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
accuracy99.0%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
Results
70.0ms256×0valid
Compiler

Compiled 137 to 18 computations (86.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 31.0ms
ival-mult: 13.0ms (42.2% of total)
ival-sin: 11.0ms (35.7% of total)
ival-div: 5.0ms (16.2% of total)
ival-pi: 1.0ms (3.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series34.0ms (0.2%)

Counts
11 → 240
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 (* (PI) (* x (* (PI) tau)))))>
#<alt (* (sin (* x (* (PI) tau))) (sin (* x (PI))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* (PI) (* x (* (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 x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 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 (* 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)))>
Calls

60 calls:

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

rewrite352.0ms (2.3%)

Algorithm
batch-egg-rewrite
Rules
5240×*-lowering-*.f32
5240×*-lowering-*.f64
3704×/-lowering-/.f32
3704×/-lowering-/.f64
1578×sum5-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
017105
1101105
277898
3757398
0843798
Stop Event
iter limit
node limit
Counts
11 → 878
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 (* (PI) (* x (* (PI) tau)))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* (PI) (* x (* (PI) tau)))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.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))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 x 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 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(neg.f32 (/.f32 #s(literal -1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (/.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))) (/.f32 (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (*.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 x (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal -2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) tau) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 tau (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) x)
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (neg.f32 x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) #s(literal 1 binary32)) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) #s(literal 1 binary32)) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)) (neg.f32 x))
(/.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) #s(literal 1 binary32)))
(*.f32 #s(literal -1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 x)) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/2 binary32)))
(neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(-.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))
(/.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))) #s(literal -1 binary32))
(*.f32 x (PI.f32))
(*.f32 x (neg.f32 (neg.f32 (PI.f32))))
(*.f32 x (/.f32 (PI.f32) #s(literal 1 binary32)))
(*.f32 (PI.f32) x)
(*.f32 (PI.f32) (neg.f32 (neg.f32 x)))
(*.f32 (PI.f32) (/.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 x (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32)))))
(*.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 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 (*.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 x) (neg.f32 (PI.f32)))
(*.f32 #s(literal -1 binary32) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 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 (neg.f32 (neg.f32 x)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (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 x (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 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (*.f32 x (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)) (*.f32 x tau))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) x)
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 x (PI.f32))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (*.f32 x (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 (*.f32 x (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 (*.f32 x (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 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/4 binary32))) (pow.f32 (PI.f32) #s(literal 1/4 binary32)))

simplify295.0ms (1.9%)

Algorithm
egg-herbie
Rules
5212×*-lowering-*.f32
5212×*-lowering-*.f64
5120×+-lowering-+.f64
5120×+-lowering-+.f32
1244×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02653255
19312974
240842860
080932860
Stop Event
iter limit
node limit
Counts
240 → 240
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 x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
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 (* 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)))
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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.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) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.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) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau tau)))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.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 tau (*.f32 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 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 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 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(*.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))))

eval119.0ms (0.8%)

Compiler

Compiled 36599 to 2588 computations (92.9% saved)

prune177.0ms (1.1%)

Pruning

31 alts after pruning (30 fresh and 1 done)

PrunedKeptTotal
New1436301466
Fresh000
Picked112
Done000
Total1437311468
Accuracy
99.8%
Counts
1468 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
66.7%
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))))) (*.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
65.4%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
80.4%
(/.f32 (*.f32 (*.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))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.8%
(/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
65.1%
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
95.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)))))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) x)))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
96.5%
(/.f32 (*.f32 #s(literal -2 binary32) (/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32))) (sin.f32 (/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))) (*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))) #s(literal 2 binary32)))) #s(literal 2 binary32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
66.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
85.8%
(+.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
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))))))
98.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.0%
(*.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))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (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)))))))
86.7%
(*.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)))))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
81.1%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
65.5%
#s(literal 1 binary32)
Compiler

Compiled 1661 to 928 computations (44.1% saved)

simplify237.0ms (1.5%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))
cost-diff0
(-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))
cost-diff0
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
cost-diff0
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
cost-diff0
(*.f32 x x)
cost-diff64
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))))))
cost-diff64
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
cost-diff320
(/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
Rules
4050×*-lowering-*.f32
4050×*-lowering-*.f64
3152×+-lowering-+.f64
3152×+-lowering-+.f32
2676×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
050440
1161431
2546411
33178401
45298395
08121395
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))
(/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI)))
(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(* x (PI))
(sin (* x (PI)))
1
(/ (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))) (* x (* (PI) (* x (* (PI) tau)))))
(* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4))))))
(* x x)
x
(+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))
(* tau (* (PI) (PI)))
tau
(* (PI) (PI))
(PI)
(* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4))))
(* (* x x) -1/6)
-1/6
(* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))
(+ 1 (* tau tau))
1
(* tau tau)
(* tau (pow (PI) 4))
(pow (PI) 4)
4
(* x (* (PI) (* x (* (PI) tau))))
(* (PI) (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* (* x (* (PI) (PI))) tau)))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (PI)))
(* x (PI))
(* x (* (* x (* (PI) (PI))) tau))
(* (* x (* (PI) (PI))) tau)
(* x (* (PI) (PI)))
(* (PI) (PI))
(/ (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau))))) 2)
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1))))
(cos (* x (* (PI) (- tau 1))))
(* x (* (PI) (- tau 1)))
x
(* (PI) (- tau 1))
(PI)
(- tau 1)
tau
1
(cos (* (* x (PI)) (+ tau 1)))
(* (* x (PI)) (+ tau 1))
(* x (PI))
(+ tau 1)
(* x (* (PI) (* (PI) (* x tau))))
(* (PI) (* (PI) (* x tau)))
(* (PI) (* x tau))
(* x tau)
2
Outputs
(* (/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
(sin (* (PI) (* x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (PI) (* x tau))
(*.f32 (PI.f32) (*.f32 x tau))
(PI)
(PI.f32)
(* x tau)
(*.f32 x tau)
x
tau
(* x (PI))
(*.f32 (PI.f32) x)
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
1
#s(literal 1 binary32)
(/ (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))) (* x (* (PI) (* x (* (PI) tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 x #s(literal -1/6 binary32))))))
(* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4))))))
(*.f32 tau (*.f32 (*.f32 x x) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))))
(* x x)
(*.f32 x x)
x
(+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))
(* tau (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
tau
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4))))
(*.f32 x (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 x #s(literal -1/6 binary32))))
(* (* x x) -1/6)
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))))
(+ 1 (* tau tau))
(+.f32 #s(literal 1 binary32) (*.f32 tau tau))
1
#s(literal 1 binary32)
(* tau tau)
(*.f32 tau tau)
(* tau (pow (PI) 4))
(*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32)))
(pow (PI) 4)
(pow.f32 (PI.f32) #s(literal 4 binary32))
4
#s(literal 4 binary32)
(* x (* (PI) (* x (* (PI) tau))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(* (PI) (* x (* (PI) tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* (* x (* (PI) (PI))) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 (PI.f32) x)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) tau))
(*.f32 (PI.f32) (*.f32 x tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* x (* (* x (* (PI) (PI))) tau))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(* (* x (* (PI) (PI))) tau)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(* x (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(/ (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau))))) 2)
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) (*.f32 (*.f32 (PI.f32) x) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 2 binary32))))
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau)))))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) (*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1))))
(-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))
(* x (* (PI) (- tau 1)))
(*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))
x
(* (PI) (- tau 1))
(*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))
(PI)
(PI.f32)
(- tau 1)
(+.f32 tau #s(literal -1 binary32))
tau
1
#s(literal 1 binary32)
(cos (* (* x (PI)) (+ tau 1)))
(cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))
(* (* x (PI)) (+ tau 1))
(*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))
(* x (PI))
(*.f32 (PI.f32) x)
(+ tau 1)
(+.f32 tau #s(literal 1 binary32))
(* x (* (PI) (* (PI) (* x tau))))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(* (PI) (* (PI) (* x tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(* (PI) (* x tau))
(*.f32 (PI.f32) (*.f32 x tau))
(* x tau)
(*.f32 x tau)
2
#s(literal 2 binary32)

localize319.0ms (2.1%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy98.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
accuracy98.8%
(*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy66.7%
(-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))
accuracy98.9%
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.7%
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy95.0%
(pow.f32 (PI.f32) #s(literal 4 binary32))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
Results
244.0ms256×0valid
Compiler

Compiled 480 to 51 computations (89.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 113.0ms
ival-mult: 51.0ms (45% of total)
ival-cos: 23.0ms (20.3% of total)
ival-sin: 12.0ms (10.6% of total)
ival-div: 11.0ms (9.7% of total)
ival-add: 5.0ms (4.4% of total)
...c/correct-round.rkt:119:19: 4.0ms (3.5% of total)
ival-pow: 3.0ms (2.6% of total)
ival-sub: 2.0ms (1.8% of total)
ival-pi: 1.0ms (0.9% of total)
const: 1.0ms (0.9% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.3%)

Counts
25 → 504
Calls
Call 1
Inputs
#<alt (* (/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))>
#<alt (/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI)))>
#<alt (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))>
#<alt (sin (* (PI) (* x tau)))>
#<alt (/ (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))) (* x (* (PI) (* x (* (PI) tau)))))>
#<alt (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4))))))>
#<alt (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))>
#<alt (* x x)>
#<alt (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* (* x (* (PI) (PI))) tau)))>
#<alt (* (sin (* x (* (PI) tau))) (sin (* x (PI))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau))))) 2)>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (* (PI) (* x tau))>
#<alt (* x (PI))>
#<alt (pow (PI) 4)>
#<alt (* (PI) (PI))>
#<alt (* tau (* (PI) (PI)))>
#<alt (* (PI) (* x (* (PI) tau)))>
#<alt (* x (* (PI) (PI)))>
#<alt (* (PI) (* (PI) (* x tau)))>
#<alt (* (* x (PI)) (+ tau 1))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* -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 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (pow (PI) 2))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2))))>
#<alt (* -1/6 (* tau (* (pow x 4) (* (pow (PI) 4) (+ 1 (pow tau 2))))))>
#<alt (* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* -1/6 (* tau (* (pow x 4) (* (pow (PI) 4) (+ 1 (pow tau 2))))))>
#<alt (* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* tau (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 3) (* (pow x 4) (pow (PI) 4))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))) (pow tau 2))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))) (pow tau 2))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))) (pow tau 2))))>
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#<alt (/ (- (+ (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)>
#<alt (/ (- (+ (* tau (- (+ (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI)))))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)>
#<alt (/ (- (+ (* tau (- (+ (* tau (- (+ (* -1/2 (cos (* -1 (* x (PI))))) (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* -1/2 (cos (* x (PI)))))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* -1 (* x (PI)))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (* x (* (PI) (sin (* x (PI))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (+ (cos (* -1 (* x (PI)))) (* tau (- (+ (* tau (- (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* tau (- (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* x (PI)))))))) (* x (* (PI) (sin (* x (PI)))))) (* x (* (PI) (sin (* -1 (* x (PI))))))))) (cos (* x (PI))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau)))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (* (pow (PI) 2) (pow (- tau 1) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* 1/24 (* (pow x 2) (* (pow (PI) 4) (pow (- tau 1) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (* (pow (PI) 6) (pow (- tau 1) 6)))) (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))))))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* -1 (* x (PI))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* x (* (PI) (- tau 1))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* 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))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* x (pow (PI) 2))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* tau (* x (pow (PI) 2)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (* (PI) (+ 1 tau)))>
#<alt (* x (PI))>
#<alt (+ (* tau (* x (PI))) (* x (PI)))>
#<alt (+ (* tau (* x (PI))) (* x (PI)))>
#<alt (+ (* tau (* x (PI))) (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* x (PI)) (/ (* x (PI)) tau)))>
#<alt (* tau (+ (* x (PI)) (/ (* x (PI)) tau)))>
#<alt (* tau (+ (* x (PI)) (/ (* x (PI)) tau)))>
#<alt (* tau (* x (PI)))>
#<alt (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))>
Calls

126 calls:

TimeVariablePointExpression
11.0ms
x
@0
(/ (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau))))) 2)
4.0ms
tau
@inf
(/ (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))) (* x (* (PI) (* x (* (PI) tau)))))
4.0ms
x
@inf
(* (* x (PI)) (+ tau 1))
2.0ms
tau
@-inf
(/ (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau))))) 2)
2.0ms
tau
@0
(/ (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))) (* x (* (PI) (* x (* (PI) tau)))))

rewrite438.0ms (2.8%)

Algorithm
batch-egg-rewrite
Rules
3862×/-lowering-/.f32
3862×/-lowering-/.f64
3782×*-lowering-*.f32
3782×*-lowering-*.f64
1522×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050280
1298274
22516262
08463262
Stop Event
iter limit
node limit
Counts
25 → 1062
Calls
Call 1
Inputs
(* (/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI))) (sin (* x (PI))))
(/ (/ (sin (* (PI) (* x tau))) (* (PI) (* x tau))) (* x (PI)))
(/ (sin (* (PI) (* x tau))) (* (PI) (* x tau)))
(sin (* (PI) (* x tau)))
(/ (* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))) (* x (* (PI) (* x (* (PI) tau)))))
(* (* x x) (+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4))))))
(+ (* tau (* (PI) (PI))) (* (* (* x x) -1/6) (* (+ 1 (* tau tau)) (* tau (pow (PI) 4)))))
(* x x)
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* (* x (* (PI) (PI))) tau)))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau))))) 2)
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1)))) (* x (* (PI) (* (PI) (* x tau)))))
(- (cos (* x (* (PI) (- tau 1)))) (cos (* (* x (PI)) (+ tau 1))))
(cos (* x (* (PI) (- tau 1))))
(* (PI) (* x tau))
(* x (PI))
(pow (PI) 4)
(* (PI) (PI))
(* tau (* (PI) (PI)))
(* (PI) (* x (* (PI) tau)))
(* x (* (PI) (PI)))
(* (PI) (* (PI) (* x tau)))
(* (* x (PI)) (+ tau 1))
Outputs
(neg.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) #s(literal -2 binary32)))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (*.f32 (PI.f32) x) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32)) (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) x)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) #s(literal -2 binary32)))
(-.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) #s(literal 2 binary32))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) #s(literal 2 binary32)) (/.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) #s(literal 2 binary32)))
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(exp.f32 (+.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 12 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 8 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 3 binary32))
(pow.f32 (exp.f32 #s(literal 4 binary32)) (log.f32 (PI.f32)))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 8 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 8 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)))
(exp.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 4 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 1 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 1 binary32)))
(pow.f32 (PI.f32) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(pow.f32 (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) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (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 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 4 binary32)))
(*.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 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 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x 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 x tau))))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) x))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) x) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 (PI.f32) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x 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 x tau))))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(+.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) x))
(+.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (PI.f32) x (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (PI.f32) (*.f32 x tau) (*.f32 (PI.f32) x))
(fma.f32 (PI.f32) (*.f32 x #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 x (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 x (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(fma.f32 tau (*.f32 (PI.f32) x) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 x tau) (PI.f32) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 (PI.f32) x) tau (*.f32 (PI.f32) x))
(fma.f32 (*.f32 (PI.f32) x) #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) x))
(fma.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 (PI.f32) tau) x (*.f32 (PI.f32) x))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) x) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 x tau)) (*.f32 (PI.f32) x))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) x) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 x tau)) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 x #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) (*.f32 x tau)))
(fma.f32 (*.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 #s(literal 1 binary32) x) (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(-.f32 (/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))))
(/.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau))) (-.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))
(/.f32 (*.f32 (*.f32 (PI.f32) x) (+.f32 (*.f32 tau tau) #s(literal -1 binary32))) (+.f32 tau #s(literal -1 binary32)))
(/.f32 (*.f32 (*.f32 (PI.f32) x) (+.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 tau tau)))) (+.f32 (*.f32 tau tau) (-.f32 #s(literal 1 binary32) tau)))
(/.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) x)) (+.f32 (*.f32 tau tau) (-.f32 #s(literal 1 binary32) tau)))
(/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal -1 binary32)) (*.f32 (PI.f32) x)) (+.f32 tau #s(literal -1 binary32)))
(/.f32 (neg.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))) (neg.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau))) (-.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))))
(/.f32 (neg.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (neg.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) (+.f32 (*.f32 tau tau) #s(literal -1 binary32)))) (neg.f32 (+.f32 tau #s(literal -1 binary32))))
(/.f32 (neg.f32 (*.f32 (*.f32 (PI.f32) x) (+.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 tau tau))))) (neg.f32 (+.f32 (*.f32 tau tau) (-.f32 #s(literal 1 binary32) tau))))
(/.f32 (neg.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) x))) (neg.f32 (+.f32 (*.f32 tau tau) (-.f32 #s(literal 1 binary32) tau))))
(/.f32 (neg.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal -1 binary32)) (*.f32 (PI.f32) x))) (neg.f32 (+.f32 tau #s(literal -1 binary32))))
(*.f32 (PI.f32) (+.f32 (*.f32 x tau) x))
(*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))
(*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))))
(*.f32 (*.f32 (PI.f32) x) (+.f32 tau #s(literal 1 binary32)))
(*.f32 (+.f32 tau #s(literal 1 binary32)) (*.f32 (PI.f32) x))
(*.f32 (*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))) x)
(*.f32 (*.f32 (+.f32 tau #s(literal 1 binary32)) x) (PI.f32))

simplify426.0ms (2.7%)

Algorithm
egg-herbie
Rules
5206×*-lowering-*.f32
5206×*-lowering-*.f64
3610×+-lowering-+.f64
3610×+-lowering-+.f32
2038×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06408716
122747587
262997418
083867418
Stop Event
iter limit
node limit
Counts
504 → 504
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))))
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(/ (- (+ (* tau (- (+ (* tau (- (+ (* -1/2 (cos (* -1 (* x (PI))))) (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* -1/2 (cos (* x (PI)))))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))
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(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (+ (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* (pow x 2) (- (+ (* -1/720 (* (pow (PI) 6) (pow (- tau 1) 6))) (* (pow x 2) (- (* 1/40320 (* (pow (PI) 8) (pow (- tau 1) 8))) (* 1/40320 (* (pow (PI) 8) (pow (+ 1 tau) 8)))))) (* -1/720 (* (pow (PI) 6) (pow (+ 1 tau) 6)))))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
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(- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau))))))
1
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(* tau (* x (pow (PI) 2)))
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(* x (* (PI) (+ 1 tau)))
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(* x (* (PI) (+ 1 tau)))
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(* x (* (PI) (+ 1 tau)))
(* x (* (PI) (+ 1 tau)))
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(* x (* (PI) (+ 1 tau)))
(* x (PI))
(+ (* tau (* x (PI))) (* x (PI)))
(+ (* tau (* x (PI))) (* x (PI)))
(+ (* tau (* x (PI))) (* x (PI)))
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(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(* tau (* x (PI)))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
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(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
Outputs
1
#s(literal 1 binary32)
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(+.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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(sin (* tau (* x (PI))))
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(* -1/6 (* (pow tau 3) (* (pow x 4) (pow (PI) 4))))
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(* -1 (* (pow tau 3) (+ (* 1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
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(* -1 (* (pow tau 3) (+ (* 1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
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(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
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(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
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(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
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(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
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(pow x 2)
(*.f32 x x)
(pow x 2)
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1
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(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.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 tau (*.f32 x x)) (*.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 tau (*.f32 x x)) (*.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 tau (*.f32 x x)) (*.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 tau (*.f32 x x)) (*.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 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.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 x x) (+.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)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.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 x x) (+.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 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 tau (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 5 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
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(* tau (* x (PI)))
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(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
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(sin (* tau (* x (PI))))
(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)))
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(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
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(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)))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2))))
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(+ (* 1/2 (* (pow x 2) (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau))))) (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))))
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(+ (* 1/2 (/ (- (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))) (* tau (pow (PI) 2)))) (* (pow x 2) (+ (* 1/2 (* (pow x 2) (- (* -1/720 (/ (* (pow (PI) 4) (pow (- tau 1) 6)) tau)) (* -1/720 (/ (* (pow (PI) 4) (pow (+ 1 tau) 6)) tau))))) (* 1/2 (- (* 1/24 (/ (* (pow (PI) 2) (pow (- tau 1) 4)) tau)) (* 1/24 (/ (* (pow (PI) 2) (pow (+ 1 tau) 4)) tau)))))))
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(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(/ (- (cos (* -1 (* x (PI)))) (cos (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(/ (- (+ (* tau (- (/ (sin (* x (PI))) (* x (PI))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (+.f32 (*.f32 tau (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))) (/.f32 (-.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))) tau)
(/ (- (+ (* tau (- (+ (* tau (- (* -1/2 (cos (* -1 (* x (PI))))) (* -1/2 (cos (* x (PI)))))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (+.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (+.f32 (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 #s(literal -1/2 binary32) (-.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 x (PI.f32))))))))) tau)
(/ (- (+ (* tau (- (+ (* tau (- (+ (* -1/2 (cos (* -1 (* x (PI))))) (* tau (- (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* -1/6 (* x (* (PI) (sin (* -1 (* x (PI)))))))))) (* -1/2 (cos (* x (PI)))))) (/ (sin (* x (PI))) (* x (PI)))) (/ (sin (* -1 (* x (PI)))) (* x (PI))))) (/ (cos (* -1 (* x (PI)))) (* (pow x 2) (pow (PI) 2)))) (/ (cos (* x (PI))) (* (pow x 2) (pow (PI) 2)))) tau)
(/.f32 (+.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (+.f32 (-.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))) (*.f32 tau (+.f32 (*.f32 #s(literal -1/2 binary32) (-.f32 (cos.f32 (*.f32 x (PI.f32))) (cos.f32 (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (-.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))))))) tau)
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(/ (- (cos (* x (* (PI) (- tau 1)))) (cos (* x (* (PI) (+ 1 tau))))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
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(/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau)))) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
(/ (- (cos (* -1 (* x (* (PI) (+ 1 (* -1 tau)))))) (cos (* x (* (PI) (- 1 (* -1 tau)))))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/.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 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))))
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(* (pow x 2) (- (+ (* -1/2 (* (pow (PI) 2) (pow (- tau 1) 2))) (* (pow x 2) (- (* 1/24 (* (pow (PI) 4) (pow (- tau 1) 4))) (* 1/24 (* (pow (PI) 4) (pow (+ 1 tau) 4)))))) (* -1/2 (* (pow (PI) 2) (pow (+ 1 tau) 2)))))
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1
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(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* -1 (* x (PI))))
(cos.f32 (*.f32 x (PI.f32)))
(+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(-.f32 (cos.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (*.f32 x (PI.f32)) (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+.f32 (cos.f32 (*.f32 x (PI.f32))) (*.f32 tau (-.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (cos.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(+ (cos (* -1 (* x (PI)))) (* tau (- (* tau (+ (* -1/2 (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI))))))) (* 1/6 (* tau (* (pow x 3) (* (pow (PI) 3) (sin (* -1 (* x (PI)))))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))
(+.f32 (cos.f32 (*.f32 x (PI.f32))) (*.f32 tau (-.f32 (*.f32 tau (+.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (cos.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 #s(literal 1/6 binary32) tau) (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* x (* (PI) (- tau 1))))
(cos.f32 (*.f32 x (*.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)))))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))
(cos (* -1 (* x (* (PI) (+ 1 (* -1 tau))))))
(cos.f32 (*.f32 (*.f32 x (PI.f32)) (-.f32 #s(literal 1 binary32) tau)))
(* 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)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* tau (pow (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)))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (* (PI) (+ 1 tau)))
(*.f32 (*.f32 x (PI.f32)) (+.f32 #s(literal 1 binary32) tau))
(* x (PI))
(*.f32 x (PI.f32))
(+ (* tau (* x (PI))) (* x (PI)))
(*.f32 (+.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32)))
(+ (* tau (* x (PI))) (* x (PI)))
(*.f32 (+.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32)))
(+ (* tau (* x (PI))) (* x (PI)))
(*.f32 (+.f32 #s(literal 1 binary32) tau) (*.f32 x (PI.f32)))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(*.f32 tau (*.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(*.f32 tau (*.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))
(* tau (+ (* x (PI)) (/ (* x (PI)) tau)))
(*.f32 tau (*.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
(*.f32 (neg.f32 tau) (neg.f32 (*.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
(*.f32 (neg.f32 tau) (neg.f32 (*.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))))
(* -1 (* tau (+ (* -1 (* x (PI))) (* -1 (/ (* x (PI)) tau)))))
(*.f32 (neg.f32 tau) (neg.f32 (*.f32 x (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))))

eval213.0ms (1.4%)

Compiler

Compiled 63303 to 3891 computations (93.9% saved)

prune292.0ms (1.9%)

Pruning

69 alts after pruning (67 fresh and 2 done)

PrunedKeptTotal
New1739511790
Fresh91625
Picked415
Done011
Total1752691821
Accuracy
99.9%
Counts
1821 → 69
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f32 (/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) x) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) #s(literal 2 binary32))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
50.6%
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
62.1%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 x (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 x x)) #s(literal 2 binary32))
62.1%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
62.5%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 2 binary32))
78.7%
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (*.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (-.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
61.8%
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) x)) #s(literal 2 binary32))
65.5%
(/.f32 (/.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 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
65.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal -1 binary32)) (*.f32 (PI.f32) x)) (+.f32 tau #s(literal -1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
65.6%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32))) x))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
65.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
32.6%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
78.9%
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (*.f32 x x) x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x tau))
79.0%
(/.f32 (/.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (*.f32 x x) x)) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) tau))
79.0%
(/.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
65.0%
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 x (sin.f32 (*.f32 x (PI.f32)))))
78.7%
(/.f32 (+.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
66.4%
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32)))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
78.8%
(/.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 x x)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
79.0%
(/.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (neg.f32 (*.f32 x x))) (*.f32 (*.f32 (PI.f32) x) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) (*.f32 x tau)))))
78.9%
(/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) x) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.7%
(/.f32 (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.6%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.8%
(/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
78.6%
(/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
65.1%
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
65.1%
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
65.2%
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
95.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)))))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 (*.f32 (PI.f32) x) (PI.f32)) tau)))
92.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)))) tau)))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) x)))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
66.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
78.7%
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 x x)) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
78.9%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (*.f32 x x) x))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
85.8%
(+.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 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)))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.0%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
78.7%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
97.4%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
80.6%
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
79.1%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
78.7%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) (/.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
78.8%
(*.f32 (/.f32 (*.f32 x x) (*.f32 (PI.f32) x)) (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
86.7%
(*.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)))))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
78.9%
(*.f32 (/.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
86.2%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
80.9%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
78.8%
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (*.f32 x x) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
78.8%
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))))
79.3%
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
79.4%
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
4.1%
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
78.9%
(*.f32 x (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
78.7%
(*.f32 x (*.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))))
78.9%
(*.f32 x (*.f32 x (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))))
65.5%
#s(literal 1 binary32)
Compiler

Compiled 5080 to 2599 computations (48.8% saved)

simplify322.0ms (2.1%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x)
cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
cost-diff0
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff1856
(/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
cost-diff1984
(/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))
cost-diff1984
(*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))))
cost-diff2240
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
cost-diff128
(/.f32 (*.f32 x x) x)
cost-diff128
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
cost-diff128
(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
cost-diff384
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
cost-diff0
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
cost-diff0
(*.f32 tau tau)
cost-diff0
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
cost-diff0
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
cost-diff0
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
cost-diff0
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
Rules
5820×*-lowering-*.f32
5820×*-lowering-*.f64
1802×/-lowering-/.f32
1802×/-lowering-/.f64
1630×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048696
1171637
2751539
34350497
08139497
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(* (/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI))) (sin (* x (PI))))
(/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
tau
(* x (PI))
x
(PI)
(sin (* x (PI)))
(* (* -1/6 (* tau tau)) (* (* x x) (* (PI) (PI))))
(* -1/6 (* tau tau))
-1/6
(* tau tau)
tau
(* (* x x) (* (PI) (PI)))
(* x x)
x
(* (PI) (PI))
(PI)
(* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) (/ (* x x) x))
(/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(* tau (* (PI) (PI)))
tau
(* (PI) (PI))
(PI)
(* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))
(+ 1 (* tau tau))
1
(* tau tau)
(* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (* x x) -1/6)
(* x x)
x
-1/6
(* (PI) (* (PI) (* x tau)))
(* (PI) (* x tau))
(* x tau)
(/ (* x x) x)
(/ (* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))) (* x (* (PI) (* x (* (PI) tau)))))
(* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))))
(* x x)
x
(/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))
1
(/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))
(- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(* tau (* (PI) (PI)))
tau
(* (PI) (PI))
(PI)
(* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))
(+ 1 (* tau tau))
(* tau tau)
(* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (* x x) -1/6)
-1/6
(* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(* x (* (PI) (* x (* (PI) tau))))
(* (PI) (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
(/ (* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI))) (* (PI) (* x tau)))
(* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI)))
(/ (sin (* (PI) (* x tau))) x)
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (sin (* x (PI))) (PI))
(sin (* x (PI)))
(* x (PI))
Outputs
(* (/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI)))
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.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))))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* tau (* x (PI)))
(*.f32 tau (*.f32 x (PI.f32)))
tau
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* (* -1/6 (* tau tau)) (* (* x x) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))))
(* -1/6 (* tau tau))
(*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* tau tau)
(*.f32 tau tau)
tau
(* (* x x) (* (PI) (PI)))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* x x)
(*.f32 x x)
x
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) (/ (* x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))
(/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(* tau (* (PI) (PI)))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
tau
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))
(*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(+ 1 (* tau tau))
(+.f32 (*.f32 tau tau) #s(literal 1 binary32))
1
#s(literal 1 binary32)
(* tau tau)
(*.f32 tau tau)
(* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))
(*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* x x)
(*.f32 x x)
x
-1/6
#s(literal -1/6 binary32)
(* (PI) (* (PI) (* x tau)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* x tau))
(*.f32 tau (*.f32 x (PI.f32)))
(* x tau)
(*.f32 tau x)
(/ (* x x) x)
x
(/ (* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))) (* x (* (PI) (* x (* (PI) tau)))))
(/.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(* x x)
(*.f32 x x)
x
(/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
1
#s(literal 1 binary32)
(/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32))))
(- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(*.f32 (*.f32 tau (PI.f32)) (+.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 tau tau)))))
(* tau (* (PI) (PI)))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
tau
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))
(*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(+ 1 (* tau tau))
(+.f32 (*.f32 tau tau) #s(literal 1 binary32))
(* tau tau)
(*.f32 tau tau)
(* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))
(*.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (* x x) -1/6)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
-1/6
#s(literal -1/6 binary32)
(* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))
(*.f32 (*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32))) (*.f32 (*.f32 tau (PI.f32)) (+.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) (-.f32 #s(literal -1 binary32) (*.f32 tau tau))))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 x (*.f32 x #s(literal -1/6 binary32))))) #s(literal 1 binary32)))
(* x (* (PI) (* x (* (PI) tau))))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (* x (* (PI) tau)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* x (* (PI) tau))
(*.f32 tau (*.f32 x (PI.f32)))
(* (PI) tau)
(*.f32 tau (PI.f32))
(/ (* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI))) (* (PI) (* x tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI)))
(*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (sin (* (PI) (* x tau))) x)
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x)
(sin (* (PI) (* x tau)))
(sin.f32 (*.f32 tau (*.f32 x (PI.f32))))
(* (PI) (* x tau))
(*.f32 tau (*.f32 x (PI.f32)))
(PI)
(PI.f32)
(* x tau)
(*.f32 tau x)
x
tau
(/ (sin (* x (PI))) (PI))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))

localize487.0ms (3.1%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
accuracy98.7%
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.7%
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.1%
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
accuracy98.9%
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32)))
accuracy98.7%
(*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy99.0%
(/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
accuracy98.7%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
Results
300.0ms256×0valid
Compiler

Compiled 969 to 49 computations (94.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
ival-mult: 40.0ms (46.6% of total)
ival-div: 17.0ms (19.8% of total)
ival-sin: 12.0ms (14% of total)
...c/correct-round.rkt:119:19: 12.0ms (14% of total)
ival-add: 2.0ms (2.3% of total)
ival-pi: 1.0ms (1.2% of total)
ival-sub: 1.0ms (1.2% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series76.0ms (0.5%)

Counts
28 → 540
Calls
Call 1
Inputs
#<alt (* (/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI))) (sin (* x (PI))))>
#<alt (/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI)))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* (* -1/6 (* tau tau)) (* (* x x) (* (PI) (PI))))>
#<alt (* -1/6 (* tau tau))>
#<alt (* tau tau)>
#<alt (* (* x x) (* (PI) (PI)))>
#<alt (* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) (/ (* x x) x))>
#<alt (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))>
#<alt (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))>
#<alt (/ (* x x) x)>
#<alt (/ (* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))) (* x (* (PI) (* x (* (PI) tau)))))>
#<alt (* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))))>
#<alt (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))>
#<alt (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))>
#<alt (/ (* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI))) (* (PI) (* x tau)))>
#<alt (* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI)))>
#<alt (/ (sin (* (PI) (* x tau))) x)>
#<alt (sin (* (PI) (* x tau)))>
#<alt (* x (PI))>
#<alt (* (PI) (PI))>
#<alt (* (PI) (* (PI) (* (PI) (PI))))>
#<alt (* tau (* (PI) (PI)))>
#<alt (* (PI) (* (PI) (* x tau)))>
#<alt (* (PI) (* x (* (PI) tau)))>
#<alt (* (PI) (* x tau))>
#<alt (/ (sin (* x (PI))) (PI))>
Outputs
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* x (PI)))>
#<alt (/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
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#<alt (/ (+ (* 1/6 (/ (* (pow tau 2) (* (pow x 2) (pow (PI) 4))) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2))) (/ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))) tau)>
#<alt (/ (+ (* (pow tau 2) (- (* 1/36 (/ (* (pow tau 2) (* (pow x 4) (pow (PI) 8))) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 3))) (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2))))) (/ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))) tau)>
#<alt (/ (+ (* (pow tau 2) (- (* (pow tau 2) (- (* 1/216 (/ (* (pow tau 2) (* (pow x 6) (pow (PI) 12))) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 4))) (* -1/36 (/ (* (pow x 4) (pow (PI) 8)) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 3))))) (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2))))) (/ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))) tau)>
#<alt (/ -6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))>
#<alt (/ (- (* -36 (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (pow tau 3))>
#<alt (/ (- (* -216 (/ (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (+ (* 36 (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4)))))) (pow tau 3))>
#<alt (/ (- (* -1296 (/ (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 3) (* (pow tau 6) (* (pow x 8) (pow (PI) 16))))) (+ (* 36 (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (+ (* 216 (/ (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))))) (pow tau 3))>
#<alt (/ -6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))>
#<alt (* -1 (/ (+ (* -36 (/ (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (pow tau 3)))>
#<alt (* -1 (/ (- (+ (* 216 (/ (pow (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (* 36 (/ (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) (* (pow tau 2) (* (pow x 4) (pow (PI) 8)))))) (pow tau 3)))>
#<alt (* -1 (/ (- (+ (* -1296 (/ (pow (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) 3) (* (pow tau 6) (* (pow x 8) (pow (PI) 16))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (+ (* -216 (/ (pow (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (* 36 (/ (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))))) (pow tau 3)))>
#<alt (/ 1 (* tau (pow (PI) 2)))>
#<alt (+ (* 1/6 (/ (* (pow x 2) (+ 1 (pow tau 2))) tau)) (/ 1 (* tau (pow (PI) 2))))>
#<alt (+ (* (pow x 2) (- (* 1/36 (/ (* (pow x 2) (* (pow (PI) 2) (pow (+ 1 (pow tau 2)) 2))) tau)) (* -1/6 (/ (+ 1 (pow tau 2)) tau)))) (/ 1 (* tau (pow (PI) 2))))>
#<alt (+ (* (pow x 2) (- (* (pow x 2) (- (* 1/216 (/ (* (pow x 2) (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 3))) tau)) (* -1/36 (/ (* (pow (PI) 2) (pow (+ 1 (pow tau 2)) 2)) tau)))) (* -1/6 (/ (+ 1 (pow tau 2)) tau)))) (/ 1 (* tau (pow (PI) 2))))>
#<alt (/ -6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))>
#<alt (* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2)))))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))) (* 216 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))))) (pow x 2))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 (* tau (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))) (* 1296 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 10) (pow (+ 1 (pow tau 2)) 4))))))) (pow x 4))) (+ (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (/ 36 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))))) (pow x 2))>
#<alt (/ -6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))>
#<alt (* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2)))))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2)))>
#<alt (/ (- (* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))) (* 216 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))))) (pow x 2))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2))>
#<alt (/ (- (* -1 (/ (+ (* 216 (/ 1 (* tau (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))) (* 1296 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 10) (pow (+ 1 (pow tau 2)) 4))))))) (pow x 4))) (+ (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (/ 36 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))))) (pow x 2))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3)))))))>
#<alt (* 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 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (* 1/36 (* (pow tau 3) (pow (PI) 5)))))))))))>
#<alt (* 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 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (sin (* x (PI))))>
#<alt (* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))>
#<alt (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))>
#<alt (* tau (PI))>
#<alt (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))>
#<alt (+ (* 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 (+ (* 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)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))>
#<alt (* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<alt (/ (sin (* tau (* x (PI)))) x)>
#<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 (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* tau (pow (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))>
#<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 (* 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 (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt x>
#<alt (* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))>
#<alt (* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
#<alt (/ (sin (* x (PI))) (PI))>
Calls

135 calls:

TimeVariablePointExpression
33.0ms
tau
@0
(* tau tau)
1.0ms
x
@-inf
(* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI)))
1.0ms
tau
@-inf
(/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))
1.0ms
tau
@inf
(/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))
1.0ms
x
@inf
(/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))

rewrite894.0ms (5.7%)

Algorithm
batch-egg-rewrite
Rules
3396×*-lowering-*.f32
3396×*-lowering-*.f64
3362×/-lowering-/.f32
3362×/-lowering-/.f64
2108×fma-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048433
1311315
22798312
08903312
Stop Event
iter limit
node limit
Counts
28 → 1423
Calls
Call 1
Inputs
(* (/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI))) (sin (* x (PI))))
(/ (/ (sin (* tau (* x (PI)))) (* tau (* x (PI)))) (* x (PI)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* (* -1/6 (* tau tau)) (* (* x x) (* (PI) (PI))))
(* -1/6 (* tau tau))
(* tau tau)
(* (* x x) (* (PI) (PI)))
(* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) (/ (* x x) x))
(/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(/ (* x x) x)
(/ (* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))) (* x (* (PI) (* x (* (PI) tau)))))
(* (* x x) (/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))))
(/ 1 (/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))))))
(/ (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (- (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))))
(/ (* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI))) (* (PI) (* x tau)))
(* (/ (sin (* (PI) (* x tau))) x) (/ (sin (* x (PI))) (PI)))
(/ (sin (* (PI) (* x tau))) x)
(sin (* (PI) (* x tau)))
(* x (PI))
(* (PI) (PI))
(* (PI) (* (PI) (* (PI) (PI))))
(* tau (* (PI) (PI)))
(* (PI) (* (PI) (* x tau)))
(* (PI) (* x (* (PI) tau)))
(* (PI) (* x tau))
(/ (sin (* x (PI))) (PI))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 tau x) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau x) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 tau (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 tau x) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) (*.f32 tau x))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (neg.f32 x) (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32)) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) #s(literal 1 binary32)) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32)) (*.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (neg.f32 (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x)) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (neg.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))) (neg.f32 (*.f32 tau x)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32))))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x)) (PI.f32))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32)) (*.f32 tau (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 tau x))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) x)
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (neg.f32 x))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (PI.f32))) (PI.f32))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (PI.f32))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) tau) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) x) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau x)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 tau (PI.f32))) x)
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) tau) x)
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)) x) tau)
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) x) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32)) x)
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (/.f32 (*.f32 x (PI.f32)) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))) (neg.f32 (*.f32 (neg.f32 x) (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) x) #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) #s(literal 1 binary32))) (neg.f32 (*.f32 x (*.f32 tau (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))) (neg.f32 (neg.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32)))) (neg.f32 (neg.f32 (*.f32 tau x))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32))))))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) x))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) #s(literal 1 binary32))) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 x (PI.f32)))))
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(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 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 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 4 binary32))
(pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1/3 binary32))
(sqrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)))
(*.f32 (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 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 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 (pow.f32 (PI.f32) #s(literal 3/2 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1 binary32)) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 4 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) (log.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 12 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 8 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 10/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 7/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.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 7/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
(*.f32 (*.f32 tau (PI.f32)) (PI.f32))
(*.f32 (*.f32 (*.f32 tau (PI.f32)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 tau (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 tau (PI.f32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (PI.f32)) (*.f32 tau (PI.f32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau x))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 tau x) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 tau (*.f32 x (PI.f32))) (PI.f32))
(*.f32 (*.f32 tau (PI.f32)) (*.f32 x (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 (PI.f32) (*.f32 x (PI.f32))) tau)
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 x (*.f32 tau (PI.f32)))
(*.f32 (PI.f32) (*.f32 tau x))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (PI.f32))))
(*.f32 (*.f32 tau x) (PI.f32))
(*.f32 (*.f32 tau (PI.f32)) x)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 tau x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 tau x)))
(*.f32 (*.f32 (*.f32 tau x) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 tau x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 tau x) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (PI.f32))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (PI.f32)))
(exp.f32 (*.f32 (log.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) (neg.f32 (neg.f32 (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (neg.f32 (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal -1/2 binary32)) (pow.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))

simplify540.0ms (3.5%)

Algorithm
egg-herbie
Rules
5058×*-lowering-*.f32
5058×*-lowering-*.f64
3446×+-lowering-+.f64
3446×+-lowering-+.f32
2262×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06069053
121277694
258827471
081997471
Stop Event
iter limit
node limit
Counts
540 → 540
Calls
Call 1
Inputs
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(/ 1 (* tau (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(/ (+ (* 1/6 (/ (* (pow tau 2) (* (pow x 2) (pow (PI) 4))) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2))) (/ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))) tau)
(/ (+ (* (pow tau 2) (- (* 1/36 (/ (* (pow tau 2) (* (pow x 4) (pow (PI) 8))) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 3))) (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2))))) (/ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))) tau)
(/ (+ (* (pow tau 2) (- (* (pow tau 2) (- (* 1/216 (/ (* (pow tau 2) (* (pow x 6) (pow (PI) 12))) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 4))) (* -1/36 (/ (* (pow x 4) (pow (PI) 8)) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 3))))) (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2))))) (/ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))) tau)
(/ -6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
(/ (- (* -36 (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (pow tau 3))
(/ (- (* -216 (/ (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (+ (* 36 (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4)))))) (pow tau 3))
(/ (- (* -1296 (/ (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 3) (* (pow tau 6) (* (pow x 8) (pow (PI) 16))))) (+ (* 36 (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (+ (* 216 (/ (pow (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))))) (pow tau 3))
(/ -6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
(* -1 (/ (+ (* -36 (/ (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (pow tau 3)))
(* -1 (/ (- (+ (* 216 (/ (pow (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (* 36 (/ (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) (* (pow tau 2) (* (pow x 4) (pow (PI) 8)))))) (pow tau 3)))
(* -1 (/ (- (+ (* -1296 (/ (pow (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) 3) (* (pow tau 6) (* (pow x 8) (pow (PI) 16))))) (* 6 (/ 1 (* (pow x 2) (pow (PI) 4))))) (+ (* -216 (/ (pow (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) 2) (* (pow tau 4) (* (pow x 6) (pow (PI) 12))))) (* 36 (/ (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4)))) (* (pow tau 2) (* (pow x 4) (pow (PI) 8))))))) (pow tau 3)))
(/ 1 (* tau (pow (PI) 2)))
(+ (* 1/6 (/ (* (pow x 2) (+ 1 (pow tau 2))) tau)) (/ 1 (* tau (pow (PI) 2))))
(+ (* (pow x 2) (- (* 1/36 (/ (* (pow x 2) (* (pow (PI) 2) (pow (+ 1 (pow tau 2)) 2))) tau)) (* -1/6 (/ (+ 1 (pow tau 2)) tau)))) (/ 1 (* tau (pow (PI) 2))))
(+ (* (pow x 2) (- (* (pow x 2) (- (* 1/216 (/ (* (pow x 2) (* (pow (PI) 4) (pow (+ 1 (pow tau 2)) 3))) tau)) (* -1/36 (/ (* (pow (PI) 2) (pow (+ 1 (pow tau 2)) 2)) tau)))) (* -1/6 (/ (+ 1 (pow tau 2)) tau)))) (/ 1 (* tau (pow (PI) 2))))
(/ -6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2)))))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))) (* 216 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))))) (pow x 2))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2))
(/ (- (* -1 (/ (+ (* 216 (/ 1 (* tau (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))) (* 1296 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 10) (pow (+ 1 (pow tau 2)) 4))))))) (pow x 4))) (+ (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (/ 36 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))))) (pow x 2))
(/ -6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2)))))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2)))
(/ (- (* -1 (/ (+ (* 36 (/ 1 (* tau (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))) (* 216 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))))) (pow x 2))) (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))))) (pow x 2))
(/ (- (* -1 (/ (+ (* 216 (/ 1 (* tau (* (pow (PI) 8) (pow (+ 1 (pow tau 2)) 3))))) (* 1296 (/ 1 (* tau (* (pow x 2) (* (pow (PI) 10) (pow (+ 1 (pow tau 2)) 4))))))) (pow x 4))) (+ (* 6 (/ 1 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (/ 36 (* tau (* (pow x 2) (* (pow (PI) 6) (pow (+ 1 (pow tau 2)) 2))))))) (pow x 2))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (PI)))
(* x (+ (* 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 (* tau (pow (PI) 5))) (+ (* 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 (* tau (pow (PI) 5))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 5))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 7))) (+ (* -1/5040 (* tau (pow (PI) 7))) (* -1/5040 (* (pow tau 7) (pow (PI) 7))))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* tau (sin (* x (PI))))
(* tau (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(* tau (PI))
(+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5)))))))
(+ (* 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)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(* tau (PI))
(* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(/ (sin (* tau (* x (PI)))) x)
(* 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))))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* tau (pow (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))
(* 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)))
(* 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)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* x (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4))))))))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
(/ (sin (* x (PI))) (PI))
Outputs
(/ (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 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 x x))) (*.f32 (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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 5 binary32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
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(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
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(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2))))
(*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))))
(* -1/6 (* tau (* (pow x 4) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))
(* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(* -1/6 (* tau (* (pow x 4) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))
(* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(* (pow x 4) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))))
(* tau (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(*.f32 (*.f32 tau (*.f32 x x)) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))))
(*.f32 tau (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))))
(* -1/6 (* (pow tau 3) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))) (pow tau 2))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 x x) (*.f32 tau tau)))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))) (pow tau 2))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 x x) (*.f32 tau tau)))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))) (pow tau 2))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (/.f32 (*.f32 x x) (*.f32 tau tau)))))
(* -1/6 (* (pow tau 3) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))))
(* -1 (* (pow tau 3) (+ (* 1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
(*.f32 (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/6 binary32)) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)))) (neg.f32 (*.f32 tau (*.f32 tau tau))))
(* -1 (* (pow tau 3) (+ (* 1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
(*.f32 (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/6 binary32)) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)))) (neg.f32 (*.f32 tau (*.f32 tau tau))))
(* -1 (* (pow tau 3) (+ (* 1/6 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1 (pow (PI) 2)) (* 1/6 (* (pow x 2) (pow (PI) 4))))) (pow tau 2)))))
(*.f32 (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) #s(literal 1/6 binary32)) (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau)))) (neg.f32 (*.f32 tau (*.f32 tau tau))))
(* tau (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(*.f32 tau (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau)))))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau)))))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (+.f32 (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau)))))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (neg.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau))))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (neg.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau))))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(*.f32 (*.f32 tau (*.f32 tau tau)) (neg.f32 (-.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (+.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau tau))))) (/.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau tau)))))
(* tau (pow (PI) 2))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
(* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(*.f32 (*.f32 #s(literal -1/6 binary32) tau) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
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(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
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(* tau (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* x (PI)))
(*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(* tau (PI))
(*.f32 (PI.f32) tau)
(+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI)))
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) tau))
(+ (* 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 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x 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 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32))))))))
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(* tau (PI))
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(* tau (+ (PI) (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))
(*.f32 tau (+.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x)))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 5))))))))
(*.f32 tau (+.f32 (PI.f32) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 x x) (*.f32 x x)))))))))
(* tau (+ (PI) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 7)))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))))))
(*.f32 tau (+.f32 (PI.f32) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (*.f32 tau tau) (pow.f32 x #s(literal 6 binary32))) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(/ (sin (* tau (* x (PI)))) x)
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) x)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))) (*.f32 (PI.f32) 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 (PI.f32) tau) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 x x)))))))
(* 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 (PI.f32) tau) (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 (*.f32 x x) (pow.f32 (PI.f32) #s(literal 7 binary32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
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(* tau (* x (PI)))
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(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
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(* 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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (pow.f32 x #s(literal 5 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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (*.f32 x 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 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))) (pow.f32 (PI.f32) #s(literal 5 binary32)))))))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(* 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))
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(* x (PI))
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(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* tau (pow (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)))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (pow (PI) 2)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
(* tau (* x (PI)))
(*.f32 (*.f32 x (PI.f32)) tau)
x
(* x (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.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 (*.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)))))))
(* 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 (*.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))) (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))

eval473.0ms (3%)

Compiler

Compiled 162908 to 6957 computations (95.7% saved)

prune629.0ms (4%)

Pruning

105 alts after pruning (103 fresh and 2 done)

PrunedKeptTotal
New2595632658
Fresh224062
Picked505
Done022
Total26221052727
Accuracy
99.9%
Counts
2727 → 105
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f32 (/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) x) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) #s(literal 2 binary32))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
50.6%
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
62.1%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 x (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 x x)) #s(literal 2 binary32))
62.1%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
62.5%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 2 binary32))
61.8%
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) x)) #s(literal 2 binary32))
65.5%
(/.f32 (/.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 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
65.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal -1 binary32)) (*.f32 (PI.f32) x)) (+.f32 tau #s(literal -1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
65.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
32.6%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
79.3%
(/.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x))
79.0%
(/.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
78.9%
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x))
79.0%
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
79.1%
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
78.7%
(/.f32 (/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (PI.f32))))
79.5%
(/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) x)
78.7%
(/.f32 (/.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
78.7%
(/.f32 (+.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
66.4%
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32)))
79.4%
(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
79.1%
(/.f32 (*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) #s(literal 1 binary32)) (*.f32 (*.f32 tau (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) x)))
78.7%
(/.f32 (*.f32 (/.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.5%
(/.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
86.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
72.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) x) (*.f32 (PI.f32) (*.f32 x tau)))
78.9%
(/.f32 (*.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) x) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
65.4%
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
66.0%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.4%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.8%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
80.2%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) tau)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.6%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.8%
(/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))
65.1%
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
65.2%
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
95.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)))))
92.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)))) tau)))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) x)))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
79.2%
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
79.3%
(/.f32 (*.f32 x (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
79.5%
(/.f32 x (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
97.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau x) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))))
79.2%
(/.f32 #s(literal 1 binary32) (/.f32 x (/.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))))
80.1%
(+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
85.8%
(+.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 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)))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
97.7%
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (PI.f32)) x) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
79.1%
(*.f32 (/.f32 (/.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) x) (*.f32 tau (PI.f32))) (/.f32 (*.f32 x x) x))
79.0%
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (-.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
79.1%
(*.f32 (/.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x)) (/.f32 (*.f32 x x) x))
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) tau))
78.7%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
80.6%
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
79.0%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (PI.f32))) (/.f32 x (*.f32 tau (PI.f32))))
79.0%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x (PI.f32)))
78.9%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) (/.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
78.7%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
79.0%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
78.7%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) x) (/.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
79.6%
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
65.3%
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
86.7%
(*.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)))))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
78.9%
(*.f32 (/.f32 x (*.f32 x (PI.f32))) (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))))
78.9%
(*.f32 (/.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
79.3%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
65.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
79.1%
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))) (/.f32 (*.f32 x x) x))
86.2%
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
80.8%
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
86.2%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
80.9%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
79.4%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
79.2%
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
79.5%
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
78.8%
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (*.f32 x x) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
78.8%
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 x x) (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))))
78.8%
(*.f32 (*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau x)) (PI.f32)) (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32))) (/.f32 (*.f32 x x) x))
79.1%
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
4.1%
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
79.2%
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
79.3%
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x x) x))
4.1%
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
4.1%
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
4.1%
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
4.1%
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
79.1%
(*.f32 (*.f32 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
79.3%
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
79.4%
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
78.9%
(*.f32 x (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
79.1%
(*.f32 x (*.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))))
4.1%
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
78.9%
(*.f32 x (*.f32 x (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))))
65.5%
#s(literal 1 binary32)
Compiler

Compiled 7486 to 3921 computations (47.6% saved)

simplify296.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
cost-diff0
(*.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-diff128
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
cost-diff128
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
cost-diff256
(/.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
cost-diff384
(/.f32 (/.f32 (*.f32 x x) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) x)
cost-diff0
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
cost-diff128
(+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))
cost-diff128
(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
cost-diff256
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
cost-diff0
(*.f32 x x)
cost-diff0
(/.f32 #s(literal 1 binary32) x)
cost-diff128
(/.f32 (*.f32 x x) x)
cost-diff256
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
cost-diff0
(*.f32 (PI.f32) (*.f32 x tau))
cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
cost-diff0
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32)))))
cost-diff0
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
Rules
6406×*-lowering-*.f32
6406×*-lowering-*.f64
3368×+-lowering-+.f64
3368×+-lowering-+.f32
2232×/-lowering-/.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
048539
1156494
2569457
32919423
45498423
57340423
08663423
Stop Event
iter limit
node limit
Calls
Call 1
Inputs
(/ (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI))))) (* x (PI)))
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI)))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(PI)
(* x tau)
x
tau
(/ (* (PI) (* x tau)) (sin (* x (PI))))
(sin (* x (PI)))
(* x (PI))
(* (/ 1 x) (/ (* x x) x))
(/ 1 x)
1
x
(/ (* x x) x)
(* x x)
(* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) x)
(/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(* tau (* (PI) (PI)))
tau
(* (PI) (PI))
(PI)
(* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))
(+ 1 (* tau tau))
1
(* tau tau)
(* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (* x x) -1/6)
(* x x)
x
-1/6
(* (PI) (* (PI) (* x tau)))
(* (PI) (* x tau))
(* x tau)
(/ (/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))) x)
(/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))))
(* x x)
x
(/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))
(* x (* tau (* (PI) (PI))))
(* tau (* (PI) (PI)))
tau
(* (PI) (PI))
(PI)
(+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))
(* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))
(+ (* tau tau) 1)
(* tau tau)
1
(* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))
(* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))
-1/6
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (PI)))
(* (/ (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))
Outputs
(/ (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI))))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (*.f32 (PI.f32) x) (sin.f32 (*.f32 (PI.f32) x)))))
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI)))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x))))
(sin (* (PI) (* x tau)))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(* (PI) (* x tau))
(*.f32 (PI.f32) (*.f32 x tau))
(PI)
(PI.f32)
(* x tau)
(*.f32 x tau)
x
tau
(/ (* (PI) (* x tau)) (sin (* x (PI))))
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x)))
(sin (* x (PI)))
(sin.f32 (*.f32 (PI.f32) x))
(* x (PI))
(*.f32 (PI.f32) x)
(* (/ 1 x) (/ (* x x) x))
#s(literal 1 binary32)
(/ 1 x)
(/.f32 #s(literal 1 binary32) x)
1
#s(literal 1 binary32)
x
(/ (* x x) x)
x
(* x x)
(*.f32 x x)
(* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) x)
(/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))
(/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)))))
(* tau (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
tau
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+ 1 (* tau tau))
(+.f32 #s(literal 1 binary32) (*.f32 tau tau))
1
#s(literal 1 binary32)
(* tau tau)
(*.f32 tau tau)
(* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (* x x) -1/6)
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(* x x)
(*.f32 x x)
x
-1/6
#s(literal -1/6 binary32)
(* (PI) (* (PI) (* x tau)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(* (PI) (* x tau))
(*.f32 (PI.f32) (*.f32 x tau))
(* x tau)
(*.f32 x tau)
(/ (/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))) x)
(/.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))))
(/.f32 x (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)))))))
(* x x)
(*.f32 x x)
x
(/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32))))))
(* x (* tau (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(* tau (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
tau
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (PI.f32)))))
(* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))
(*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 x (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+ (* tau tau) 1)
(+.f32 #s(literal 1 binary32) (*.f32 tau tau))
(* tau tau)
(*.f32 tau tau)
1
#s(literal 1 binary32)
(* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))
(* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))
-1/6
#s(literal -1/6 binary32)
(* tau (* (PI) (* (PI) (* (PI) (PI)))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (/ (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 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))
(/ (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 (PI.f32) x)
x
(PI)
(PI.f32)
tau
(+ 1 (* x (* x (* -1/6 (* (PI) (PI))))))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))
1
#s(literal 1 binary32)
(* x (* x (* -1/6 (* (PI) (PI)))))
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))
(* x (* -1/6 (* (PI) (PI))))
(*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))
(* -1/6 (* (PI) (PI)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))

localize312.0ms (2%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy99.0%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.8%
(/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
accuracy98.7%
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy98.7%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
accuracy98.7%
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
accuracy100.0%
(/.f32 #s(literal 1 binary32) x)
accuracy100.0%
(*.f32 x x)
accuracy99.7%
(/.f32 (*.f32 x x) x)
accuracy99.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
accuracy98.9%
(*.f32 x (PI.f32))
accuracy98.8%
(/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))
accuracy98.8%
(*.f32 (PI.f32) (*.f32 x tau))
accuracy98.8%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
Results
203.0ms256×0valid
Compiler

Compiled 628 to 49 computations (92.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 93.0ms
ival-mult: 47.0ms (50.6% of total)
ival-div: 17.0ms (18.3% of total)
ival-sin: 12.0ms (12.9% of total)
ival-add: 11.0ms (11.8% of total)
...c/correct-round.rkt:119:19: 4.0ms (4.3% of total)
ival-pi: 1.0ms (1.1% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

series54.0ms (0.3%)

Counts
25 → 480
Calls
Call 1
Inputs
#<alt (/ (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI))))) (* x (PI)))>
#<alt (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI)))))>
#<alt (sin (* (PI) (* x tau)))>
#<alt (* (PI) (* x tau))>
#<alt (* (/ 1 x) (/ (* x x) x))>
#<alt (/ (* x x) x)>
#<alt (/ 1 x)>
#<alt (* x x)>
#<alt (* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) x)>
#<alt (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))>
#<alt (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))>
#<alt (* tau (* (PI) (PI)))>
#<alt (/ (/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))) x)>
#<alt (/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))))>
#<alt (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))>
#<alt (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))>
#<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 (/ (* (PI) (* x tau)) (sin (* x (PI))))>
#<alt (* x (PI))>
#<alt (* (PI) (PI))>
#<alt (* (PI) (* (PI) (* (PI) (PI))))>
#<alt (* (PI) (* (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 (* x (PI))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (sin (* x (PI)))>
#<alt (+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))>
#<alt (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))>
#<alt (+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))>
#<alt (* 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>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<alt 1>
#<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 (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (/ 1 x)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (pow (PI) 2))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* -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 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* x (pow (PI) 2)))>
#<alt (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x)))>
#<alt (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x)))>
#<alt (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x)))>
#<alt (* -1/6 (* (pow tau 2) (* x (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2))) (/ 1 (* (pow tau 2) x)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2))) (/ 1 (* (pow tau 2) x)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2))) (/ 1 (* (pow tau 2) x)))))>
#<alt (* -1/6 (* (pow tau 2) (* x (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* x (pow (PI) 2))) (/ 1 x)) (pow tau 2))) (* -1/6 (* x (pow (PI) 2)))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* x (pow (PI) 2))) (/ 1 x)) (pow tau 2))) (* -1/6 (* x (pow (PI) 2)))))>
#<alt (* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* x (pow (PI) 2))) (/ 1 x)) (pow tau 2))) (* -1/6 (* x (pow (PI) 2)))))>
#<alt (/ 1 x)>
#<alt (/ (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) x)>
#<alt (/ (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) x)>
#<alt (/ (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) x)>
#<alt (* -1/6 (* x (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* x (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* x (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* x (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* x (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* -1 (* x (- (* 1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (* 1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2)))))>
#<alt (* -1 (* x (- (* 1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2)))))>
#<alt (* tau (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))>
#<alt (* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))>
#<alt (* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))>
#<alt (* tau (pow (PI) 2))>
#<alt (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))>
#<alt (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))>
#<alt (+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))>
#<alt (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (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))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))>
#<alt (+ 1 (* -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 (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))>
#<alt (/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (pow (PI) 2))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
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#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (/ (* tau (* x (PI))) (sin (* x (PI))))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* 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)))>
Calls

120 calls:

TimeVariablePointExpression
15.0ms
tau
@inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))
4.0ms
x
@0
(/ (* (PI) (* x tau)) (sin (* x (PI))))
3.0ms
tau
@inf
(/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))
2.0ms
tau
@inf
(/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))))
1.0ms
tau
@-inf
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (+ 1 (* x (* x (* -1/6 (* (PI) (PI)))))))

rewrite402.0ms (2.6%)

Algorithm
batch-egg-rewrite
Rules
4248×*-lowering-*.f32
4248×*-lowering-*.f64
3744×/-lowering-/.f32
3744×/-lowering-/.f64
1644×pow-lowering-pow.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
048328
1309295
22442293
08430293
Stop Event
iter limit
node limit
Counts
25 → 1252
Calls
Call 1
Inputs
(/ (/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI))))) (* x (PI)))
(/ (sin (* (PI) (* x tau))) (/ (* (PI) (* x tau)) (sin (* x (PI)))))
(sin (* (PI) (* x tau)))
(* (PI) (* x tau))
(* (/ 1 x) (/ (* x x) x))
(/ (* x x) x)
(/ 1 x)
(* x x)
(* (/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau)))) x)
(/ (+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6)))) (* (PI) (* (PI) (* x tau))))
(+ (* tau (* (PI) (PI))) (* (+ 1 (* tau tau)) (* (* tau (* (PI) (* (PI) (* (PI) (PI))))) (* (* x x) -1/6))))
(* tau (* (PI) (PI)))
(/ (/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))) x)
(/ (* x x) (/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))))
(/ (* x (* tau (* (PI) (PI)))) (+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI))))))))))
(+ (* tau (* (PI) (PI))) (* (+ (* tau tau) 1) (* (* x x) (* -1/6 (* tau (* (PI) (* (PI) (* (PI) (PI)))))))))
(* (/ (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)
(/ (* (PI) (* x tau)) (sin (* x (PI))))
(* x (PI))
(* (PI) (PI))
(* (PI) (* (PI) (* (PI) (PI))))
(* (PI) (* (PI) (* x tau)))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1 binary32))
(pow.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 (PI.f32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x)) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 (PI.f32) x) (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) x) (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x)))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 (PI.f32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))) (*.f32 (PI.f32) x))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 (PI.f32) x) (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (PI.f32) (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (neg.f32 (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (*.f32 (PI.f32) x) (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (PI.f32))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32)) (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x)) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 (*.f32 (PI.f32) x) (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x))) (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) x))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) x)
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) #s(literal 1 binary32)) (PI.f32))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(/.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(/.f32 (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x))) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 1 binary32))) (neg.f32 (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))) (neg.f32 (*.f32 (/.f32 (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))) (sin.f32 (*.f32 (PI.f32) x))) (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x))) (neg.f32 (neg.f32 (PI.f32))))
(/.f32 (neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 binary32))) (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x)))
(/.f32 (neg.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) x))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) #s(literal 1 binary32))) (neg.f32 (PI.f32)))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32))))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) x) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))) (neg.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) x)))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)))
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) x)) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)))
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(pow.f32 (PI.f32) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) #s(literal 12 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) #s(literal 8 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 1/3 binary32))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 10/3 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (pow.f32 (PI.f32) #s(literal 7/2 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.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 7/2 binary32)) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 tau (*.f32 (*.f32 (PI.f32) x) (PI.f32)))
(*.f32 tau (*.f32 (*.f32 (PI.f32) (PI.f32)) x))
(*.f32 (*.f32 x tau) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (PI.f32))
(*.f32 (*.f32 (PI.f32) x) (*.f32 (PI.f32) tau))
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/3 binary32)) (*.f32 (PI.f32) (*.f32 x 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 x tau))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) x))
(*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/3 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (pow.f32 (PI.f32) #s(literal 1/2 binary32))) (pow.f32 (PI.f32) #s(literal 1/2 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) tau)

simplify466.0ms (3%)

Algorithm
egg-herbie
Rules
6390×*-lowering-*.f32
6390×*-lowering-*.f64
3272×+-lowering-+.f64
3272×+-lowering-+.f32
1836×sum4-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06007961
121506757
278106605
088266605
Stop Event
iter limit
node limit
Counts
480 → 480
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* x (PI))
(* x (+ (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))) (+ (* 1/120 (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))) (+ (* 1/120 (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 (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(sin (* x (PI)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
1
1
1
1
1
1
1
1
1
1
1
x
x
x
x
x
x
x
x
x
x
x
x
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(/ 1 x)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (pow (PI) 2))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))
(* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* (pow x 2) (pow (PI) 2))) 1) (pow tau 2))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))
1
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2))))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(/ (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)) (* x (pow (PI) 2)))
(+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x)))
(+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x)))
(+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (* (pow tau 2) (* x (pow (PI) 2)))) (/ 1 x)))
(* -1/6 (* (pow tau 2) (* x (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2))) (/ 1 (* (pow tau 2) x)))))
(* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2))) (/ 1 (* (pow tau 2) x)))))
(* (pow tau 2) (+ (* -1/6 (* x (pow (PI) 2))) (+ (* -1/6 (/ (* x (pow (PI) 2)) (pow tau 2))) (/ 1 (* (pow tau 2) x)))))
(* -1/6 (* (pow tau 2) (* x (pow (PI) 2))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* x (pow (PI) 2))) (/ 1 x)) (pow tau 2))) (* -1/6 (* x (pow (PI) 2)))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* x (pow (PI) 2))) (/ 1 x)) (pow tau 2))) (* -1/6 (* x (pow (PI) 2)))))
(* (pow tau 2) (+ (* -1 (/ (- (* 1/6 (* x (pow (PI) 2))) (/ 1 x)) (pow tau 2))) (* -1/6 (* x (pow (PI) 2)))))
(/ 1 x)
(/ (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) x)
(/ (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) x)
(/ (+ 1 (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (pow tau 2)))))) x)
(* -1/6 (* x (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* x (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* x (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* x (+ (* -1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2))))
(* -1/6 (* x (* (pow (PI) 2) (+ 1 (pow tau 2)))))
(* -1 (* x (- (* 1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2)))))
(* -1 (* x (- (* 1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2)))))
(* -1 (* x (- (* 1/6 (* (pow (PI) 2) (+ 1 (pow tau 2)))) (/ 1 (pow x 2)))))
(* tau (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (pow (PI) 2))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
(* (pow tau 3) (+ (* -1/6 (* (pow x 2) (pow (PI) 4))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))) (/ (pow (PI) 2) (pow tau 2)))))
(* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 4))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* -1 (* (pow tau 3) (+ (* -1 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/6 (* (pow x 2) (pow (PI) 4))) (* 1/6 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2)))))))
(* tau (pow (PI) 2))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(+ (* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2)))))) (* tau (pow (PI) 2)))
(* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* (pow x 2) (+ (* -1/6 (* tau (* (pow (PI) 4) (+ 1 (pow tau 2))))) (/ (* tau (pow (PI) 2)) (pow x 2))))
(* -1/6 (* tau (* (pow x 2) (* (pow (PI) 4) (+ 1 (pow tau 2))))))
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(* 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
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/ (* tau (* x (PI))) (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))
(* 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)))
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 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 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) #s(literal 1/120 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 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 (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) #s(literal 1/120 binary32)))) (*.f32 (*.f32 x x) (+.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 (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 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/120 binary32)))))))
(+ (* (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 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/120 binary32))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (* -1/6 (pow (PI) 3))))))
(*.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))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (* 1/36 (* (pow tau 2) (pow (PI) 5)))))))))))
(*.f32 x (+.f32 (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)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))))))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 3))) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 5))) (+ (* 1/120 (pow (PI) 5)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 5))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 7))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 7))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (* -1/5040 (pow (PI) 7)))))))))))))))
(*.f32 x (+.f32 (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)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (+.f32 (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (+.f32 #s(literal 1/120 binary32) (*.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 x x) (+.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 7 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 7 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 (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(+ (sin (* x (PI))) (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI))))))))
(+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI))))))))))
(+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 4 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau tau))))))
(+ (sin (* x (PI))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (sin (* x (PI)))))))))))
(+.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 x #s(literal 6 binary32)))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (pow.f32 x #s(literal 4 binary32)) #s(literal 1/120 binary32))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (PI.f32)))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
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(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
tau
(+ tau (* 1/6 (* tau (* (pow x 2) (pow (PI) 2)))))
(+.f32 tau (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau #s(literal 1/6 binary32))))
(+ tau (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+.f32 tau (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 7/360 binary32))) (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(+ tau (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* tau (pow (PI) 6))) (+ (* 1/720 (* tau (pow (PI) 6))) (* 1/6 (* (pow (PI) 2) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))))))) (+ (* -1/36 (* tau (pow (PI) 4))) (* 1/120 (* tau (pow (PI) 4)))))) (* -1/6 (* tau (pow (PI) 2))))))
(+.f32 tau (*.f32 (*.f32 x x) (+.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 (+.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal -7/360 binary32)) #s(literal 1/6 binary32))) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 6 binary32))) #s(literal 1/840 binary32))) (*.f32 #s(literal -1 binary32) (*.f32 x x))) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))) #s(literal 7/360 binary32)))) (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(/ (* tau (* x (PI))) (sin (* x (PI))))
(/.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* 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))))

eval315.0ms (2%)

Compiler

Compiled 84054 to 5770 computations (93.1% saved)

prune553.0ms (3.6%)

Pruning

96 alts after pruning (91 fresh and 5 done)

PrunedKeptTotal
New2146462192
Fresh534598
Picked235
Done022
Total2201962297
Accuracy
99.9%
Counts
2297 → 96
Alt Table
Click to see full alt table
StatusAccuracyProgram
65.6%
(/.f32 (/.f32 (/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32)))))) x) (*.f32 (PI.f32) (*.f32 x tau))) (PI.f32)) #s(literal 2 binary32))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
97.2%
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 x (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) tau) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
50.6%
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
62.1%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x) (*.f32 x (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 x x)) #s(literal 2 binary32))
62.1%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
62.5%
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 2 binary32))
61.8%
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) x)) #s(literal 2 binary32))
65.5%
(/.f32 (/.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 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
65.1%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal -1 binary32)) (*.f32 (PI.f32) x)) (+.f32 tau #s(literal -1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
65.5%
(/.f32 (/.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (PI.f32) (+.f32 (*.f32 x tau) x)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
32.6%
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
79.2%
(/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) x)
79.0%
(/.f32 (/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau)))
85.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) x)) tau)
86.3%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (*.f32 x tau)) (PI.f32))
86.0%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) tau) (*.f32 (PI.f32) x))
97.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
79.1%
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
79.3%
(/.f32 (/.f32 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
65.5%
(/.f32 (/.f32 (*.f32 x x) x) x)
97.9%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 x (PI.f32)))
85.3%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 tau (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau #s(literal 1/6 binary32))))) (*.f32 x (PI.f32)))
72.1%
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
97.7%
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 (/.f32 x (sin.f32 (*.f32 tau (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 x (PI.f32)))))
79.5%
(/.f32 (/.f32 x (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) x)
66.4%
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32)))
86.4%
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
97.2%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 tau (PI.f32)) x)) x) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) (*.f32 (PI.f32) (*.f32 x tau)))
85.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))) (*.f32 tau (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
85.8%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1/216 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))))
85.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) tau)
86.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
86.3%
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
65.4%
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
80.2%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) tau)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
78.6%
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
95.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)))))
92.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)))) tau)))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) x)))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
79.2%
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
79.5%
(/.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)))
79.9%
(/.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)
86.4%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))))
97.3%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 tau x) (/.f32 (*.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (PI.f32))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
85.8%
(+.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
80.1%
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
66.4%
(+.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 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))))))
97.7%
(*.f32 (/.f32 (/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) tau) (PI.f32)) x) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
78.9%
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
97.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x tau)) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
86.1%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 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)))))))
97.4%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) x) tau))
78.7%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))
80.6%
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
79.0%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) x)
79.0%
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
79.7%
(*.f32 (/.f32 (+.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) x)
80.4%
(*.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.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)))))))
66.2%
(*.f32 (/.f32 (*.f32 x (*.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)))))))
80.7%
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.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)))))))
65.4%
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
86.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.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)))))))
72.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
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)))))))
86.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) x)))
86.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.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)))))))
65.5%
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
86.4%
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (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)))))))
65.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
65.6%
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
65.3%
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
65.5%
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
86.2%
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
80.8%
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
86.2%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
80.9%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
79.4%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
79.4%
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
81.0%
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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)))))))
85.9%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.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)))))))
65.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
4.1%
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
4.1%
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
4.1%
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
85.9%
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
85.9%
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
79.1%
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
4.1%
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
86.6%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
4.1%
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
65.5%
#s(literal 1 binary32)
Compiler

Compiled 9079 to 2394 computations (73.6% saved)

regimes312.0ms (2%)

Counts
192 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
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(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) x) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) x)) #s(literal 2 binary32))
(/.f32 (/.f32 (-.f32 (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32))))) (*.f32 (PI.f32) x)) (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32))
(/.f32 (/.f32 (-.f32 (*.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) (/.f32 (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal 1 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (cos.f32 (*.f32 (PI.f32) (*.f32 x (+.f32 tau #s(literal -1 binary32)))))) x)) #s(literal 2 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (pow.f32 (PI.f32) #s(literal 1/2 binary32)) (*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 1/2 binary32))) x)))))
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32)))))))) (*.f32 #s(literal 2 binary32) (+.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))))) (*.f32 x (*.f32 (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 (sin.f32 (*.f32 x (PI.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 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 1/2 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))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/4 binary32)) #s(literal 4 binary32)))) tau)))
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:

88.0ms
x
65.0ms
(*.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))))
56.0ms
tau
55.0ms
(*.f32 x (PI.f32))
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)

regimes323.0ms (2.1%)

Counts
154 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x 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 tau tau) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) (/.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x (PI.f32)))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (PI.f32))) (/.f32 x (*.f32 tau (PI.f32))))
(/.f32 x (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 x (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) x)
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
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(+.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))) (*.f32 tau (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1/216 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

3 calls:

183.0ms
x
45.0ms
(*.f32 x (PI.f32))
45.0ms
tau
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes218.0ms (1.4%)

Counts
153 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x 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 tau tau) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) (/.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x (PI.f32)))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (PI.f32))) (/.f32 x (*.f32 tau (PI.f32))))
(/.f32 x (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 x (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) x)
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x))
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(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))) (*.f32 tau (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1/216 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
Calls

3 calls:

53.0ms
x
46.0ms
tau
44.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.3%1x
97.3%1tau
97.3%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes439.0ms (2.8%)

Counts
152 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x 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 tau tau) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) (/.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x (PI.f32)))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (PI.f32))) (/.f32 x (*.f32 tau (PI.f32))))
(/.f32 x (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 x (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) x)
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x))
(*.f32 x (*.f32 x (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))))))
(*.f32 x (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
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(/.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (*.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (-.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.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)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) x)))
(*.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)))))))
(*.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 (/.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)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) 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 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) tau)
(/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 tau (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau #s(literal 1/6 binary32))))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) tau) (*.f32 (PI.f32) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (*.f32 x tau)) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) x)) tau)
(*.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))) (/.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (/.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)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (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)))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (*.f32 tau (-.f32 #s(literal 0 binary32) (*.f32 (PI.f32) x))))) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (/.f32 #s(literal 1 binary32) tau) (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 tau (pow.f32 (PI.f32) #s(literal 4 binary32))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 tau tau) (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) x) (PI.f32)) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (*.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))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 (-.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32)))))) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(+.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 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (+.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))))
(/.f32 (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))) (*.f32 tau (-.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) x)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 x (*.f32 x x))) #s(literal -1/216 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) (-.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.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)))))))
Calls

3 calls:

50.0ms
(*.f32 x (PI.f32))
45.0ms
tau
43.0ms
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)

regimes163.0ms (1%)

Counts
123 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x 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 tau tau) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) (/.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x (PI.f32)))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (PI.f32))) (/.f32 x (*.f32 tau (PI.f32))))
(/.f32 x (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (/.f32 x (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) x)
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (PI.f32))) (*.f32 tau (PI.f32)))
(/.f32 (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau x))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/2 binary32) (*.f32 (PI.f32) (PI.f32))) (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
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(/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (/.f32 #s(literal 1 binary32) x))
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(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (/.f32 (*.f32 x x) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))))
(*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 (*.f32 x x) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 x x) (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 x (*.f32 x (PI.f32))) (/.f32 (*.f32 x (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (*.f32 tau (+.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 tau (*.f32 tau (*.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 x) (*.f32 (PI.f32) x)) (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
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(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (*.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (-.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x tau))))
Calls

3 calls:

41.0ms
x
38.0ms
tau
36.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
86.6%1tau
86.6%1x
86.6%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes117.0ms (0.8%)

Counts
121 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x 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 tau tau) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (/.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) x)) tau)) x)
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (PI.f32)) (/.f32 x (*.f32 tau (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 tau (*.f32 x (PI.f32)))) (/.f32 x (PI.f32)))
(*.f32 (/.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (*.f32 x (PI.f32))) (/.f32 x (*.f32 tau (PI.f32))))
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(/.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) x)
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) tau) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (+.f32 (*.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) tau)))) (*.f32 #s(literal 1/6 binary32) (/.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) tau))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal -1/6 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(*.f32 (/.f32 (/.f32 (-.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (-.f32 (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (-.f32 (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (*.f32 x x) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (-.f32 (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (*.f32 x x) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 (*.f32 tau tau) #s(literal 1 binary32)) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (/.f32 #s(literal 1 binary32) (/.f32 (-.f32 (*.f32 (*.f32 tau (PI.f32)) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (*.f32 (+.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))) (-.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) #s(literal -1/6 binary32))))))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (*.f32 x (PI.f32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) x) x) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (+.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (PI.f32)))
(/.f32 (/.f32 (-.f32 (*.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x))))) (*.f32 (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (-.f32 (*.f32 tau (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) x)))) (*.f32 (*.f32 tau (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))) (*.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 x x))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (+.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (PI.f32))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 (*.f32 x (PI.f32)) (+.f32 tau #s(literal 1 binary32))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 2 binary32))
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 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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:

42.0ms
tau
34.0ms
(*.f32 x (PI.f32))
33.0ms
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)

regimes47.0ms (0.3%)

Counts
46 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 x (PI.f32))) (*.f32 tau tau)))) (*.f32 tau tau)) #s(literal 1 binary32))
(*.f32 (*.f32 tau tau) (-.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (PI.f32) (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 tau))))
(/.f32 (*.f32 (*.f32 #s(literal -1/2 binary32) (/.f32 (*.f32 (PI.f32) (PI.f32)) tau)) (/.f32 (-.f32 (*.f32 (+.f32 tau #s(literal -1 binary32)) (+.f32 tau #s(literal -1 binary32))) (*.f32 (+.f32 #s(literal 1 binary32) tau) (+.f32 #s(literal 1 binary32) tau))) (*.f32 (PI.f32) (PI.f32)))) #s(literal 2 binary32))
(*.f32 (*.f32 tau tau) (+.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau tau))))))
(/.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (*.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)))))))) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 tau tau) (-.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (+.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 #s(literal -1 binary32) x)) (*.f32 tau tau)))) (/.f32 (*.f32 x x) x))
(*.f32 (*.f32 (*.f32 tau tau) (+.f32 (/.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau tau)) x) (*.f32 #s(literal -1/6 binary32) (+.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau) tau))))) (/.f32 (*.f32 x x) x))
Outputs
(*.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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:

15.0ms
(*.f32 x (PI.f32))
14.0ms
x
12.0ms
tau
Results
AccuracySegmentsBranch
81.0%1tau
81.0%1x
81.0%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes35.0ms (0.2%)

Counts
38 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 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 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
(*.f32 (+.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) x))) x)
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x x) x))
(/.f32 (*.f32 (*.f32 tau (*.f32 x x)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) tau)))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 x (+.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 binary32) (*.f32 x x)))) x)
(*.f32 (/.f32 (+.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) x)
(/.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 #s(literal 1 binary32) x) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (+.f32 #s(literal -1/6 binary32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 x (*.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 x (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x x)))) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))) x) (/.f32 (*.f32 x x) x))
(/.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 (*.f32 x x) (*.f32 x (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (+.f32 #s(literal 1 binary32) (*.f32 tau tau)) #s(literal 1/6 binary32))))))) x)
(*.f32 (*.f32 (+.f32 (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))) (/.f32 #s(literal -1 binary32) (*.f32 x x))) (neg.f32 x)) (/.f32 (*.f32 x x) x))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))) (+.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) #s(literal -1/6 binary32))))
Calls

3 calls:

12.0ms
x
10.0ms
tau
10.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.1%1tau
80.1%1x
80.1%1(*.f32 x (PI.f32))
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes41.0ms (0.3%)

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

3 calls:

26.0ms
(*.f32 x (PI.f32))
7.0ms
x
7.0ms
tau
Results
AccuracySegmentsBranch
80.1%1x
80.1%1(*.f32 x (PI.f32))
80.1%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes22.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
Calls

3 calls:

8.0ms
x
6.0ms
(*.f32 x (PI.f32))
6.0ms
tau
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
19 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) tau) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x (PI.f32)))) (PI.f32))
(*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (PI.f32) (PI.f32))) (*.f32 x x))
(*.f32 (*.f32 (*.f32 tau #s(literal -1/6 binary32)) tau) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))) (PI.f32)) (PI.f32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x x)) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) x)
Outputs
(+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
Calls

3 calls:

6.0ms
(*.f32 x (PI.f32))
6.0ms
x
6.0ms
tau
Results
AccuracySegmentsBranch
66.4%1x
66.4%1(*.f32 x (PI.f32))
66.4%1tau
Compiler

Compiled 11 to 8 computations (27.3% saved)

regimes25.0ms (0.2%)

Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 (*.f32 x x) x))
(*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 x x)))
(*.f32 (/.f32 x (*.f32 x x)) (/.f32 (*.f32 x x) x))
Outputs
(*.f32 (/.f32 #s(literal 1 binary32) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
Calls

2 calls:

21.0ms
tau
3.0ms
x
Results
AccuracySegmentsBranch
65.6%1x
65.6%1tau
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-0.3%)

Threshold costs -0b (-0.3%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) x) x)
(/.f32 (/.f32 (*.f32 x x) x) x)
Outputs
#s(literal 1 binary32)
Calls

2 calls:

2.0ms
x
2.0ms
tau
Results
AccuracySegmentsBranch
65.5%1x
65.5%1tau
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
70×*-commutative_binary32
22×+-commutative_binary32
1-exp_binary64
1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072245
1122245
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 (*.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 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.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)))))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x 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 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 (*.f32 x x) (*.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 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.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) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) 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))))
(*.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 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.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)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.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 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))))) (*.f32 (PI.f32) (*.f32 x 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 #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 (*.f32 x (*.f32 x (*.f32 (PI.f32) (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 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 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 tau tau) (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.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 (*.f32 (PI.f32) (PI.f32)) (*.f32 x x)) (+.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 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 (*.f32 tau tau) #s(literal 1 binary32))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau))))))
(+.f32 #s(literal 1 binary32) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 tau tau)))))
(+.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) x) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) x)))
#s(literal 1 binary32)

soundness2.7s (17.4%)

Rules
6390×*-lowering-*.f32
6390×*-lowering-*.f64
5240×*-lowering-*.f32
5240×*-lowering-*.f64
5212×*-lowering-*.f32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
06007961
121506757
278106605
088266605
06408716
122747587
262997418
083867418
050280
1298274
22516262
08463262
06069053
121277694
258827471
081997471
01021
12321
28021
328418
467918
5105918
6109018
7109018
0109018
017105
1101105
277898
3757398
0843798
02653255
19312974
240842860
080932860
048328
1309295
22442293
08430293
Stop Event
fuel
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
saturated
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
Compiler

Compiled 566 to 264 computations (53.4% saved)

preprocess64.0ms (0.4%)

Remove

(abs tau)

(abs x)

Compiler

Compiled 1276 to 470 computations (63.2% saved)

end0.0ms (0%)

Profiling

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