Lanczos kernel

Time bar (total: 16.0s)

analyze28.0ms (0.2%)

Memory
6.1MiB live, 49.4MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%0%100%0%0%0%0
0%0%0%100%0%0%0%1
50%0%0%100%0%0%0%2
50%0%0%100%0%0%0%3
75%0%0%100%0%0%0%4
75%0%0%100%0%0%0%5
87.5%0%0%100%0%0%0%6
87.5%0%0%100%0%0%0%7
93.7%0%0%100%0%0%0%8
93.7%0%0%100%0%0%0%9
96.9%0%0%100%0%0%0%10
96.9%0%0%100%0%0%0%11
98.4%0%0%100%0%0%0%12
Compiler

Compiled 37 to 21 computations (43.2% saved)

sample1.4s (9.1%)

Memory
53.8MiB live, 2 385.6MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 889.0ms
ival-sin: 230.0ms (25.9% of total)
ival-mult: 201.0ms (22.6% of total)
ival-div: 176.0ms (19.8% of total)
const: 123.0ms (13.8% of total)
ival-<=: 94.0ms (10.6% of total)
ival-pi: 33.0ms (3.7% of total)
ival-and: 21.0ms (2.4% of total)
exact: 8.0ms (0.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess121.0ms (0.8%)

Memory
-10.6MiB live, 108.5MiB allocated
Algorithm
2×egg-herbie
Rules
1 002×distribute-neg-frac
956×neg-sub0
894×neg-mul-1
844×distribute-frac-neg2
840×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
032136
1106136
2488128
32592128
45193128
56775128
67594128
77888128
01021
12321
28021
328421
467821
5105821
6109321
7109321
0109321
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
Call 2
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* x (* (PI) (* (PI) tau))))))
(* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* x (* (PI) (* (PI) tau))))))
(* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* x (* (PI) (* (PI) tau))))))
(neg (* (/ (sin (* (* (neg x) (PI)) tau)) (* (* (neg x) (PI)) tau)) (/ (sin (* (neg x) (PI))) (* (neg x) (PI)))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* tau (neg x)))))))
(neg (* (/ (sin (* (* x (PI)) (neg tau))) (* (* x (PI)) (neg tau))) (/ (sin (* x (PI))) (* x (PI)))))
(* (sin (* (PI) (* x tau))) (/ (sin (* x (PI))) (* x (* (PI) (* (PI) (* tau (neg x)))))))
(* (/ (sin (* (* tau (PI)) x)) (* (* tau (PI)) x)) (/ (sin (* tau (PI))) (* tau (PI))))
(* (sin (* (PI) (* x tau))) (/ (sin (* (PI) tau)) (* (PI) (* tau (* (PI) (* x tau))))))
Symmetry

(abs x)

(abs tau)

explain187.0ms (1.2%)

Memory
-28.5MiB live, 298.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
50-5(0.27708202600479126 3.746121644973755)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
10-1(0.9873037934303284 2.7928521633148193)(sin.f32 (*.f32 x (PI.f32)))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.f32 x (PI.f32))
00-0-(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
00-0-tau
00-0-(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
00-0-x
Confusion
Predicted +Predicted -
+06
-0250
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+024
-00250
Precision?
1.0
Recall?
0.3333333333333333
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
74.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 59.0ms
ival-pi: 30.0ms (50.9% of total)
ival-sin: 14.0ms (23.8% of total)
ival-mult: 9.0ms (15.3% of total)
ival-div: 6.0ms (10.2% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
1.6MiB live, 1.6MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 23 to 10 computations (56.5% saved)

simplify28.0ms (0.2%)

Memory
23.3MiB live, 62.0MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Rules
598×times-frac
578×*-lowering-*.f32
578×*-lowering-*.f64
540×/-lowering-/.f32
540×/-lowering-/.f64
Iterations

Useful iterations: 0 (0.0ms)

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

localize37.0ms (0.2%)

Memory
10.1MiB live, 90.6MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.1%
(*.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))
✓accuracy98.6%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Samples
25.0ms256×0valid
Compiler

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-sin: 7.0ms (42.2% of total)
ival-mult: 4.0ms (24.1% of total)
ival-div: 3.0ms (18.1% of total)
ival-pi: 2.0ms (12.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
-5.7MiB live, 67.6MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (* (* x (PI)) tau)>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
Calls

30 calls:

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

rewrite373.0ms (2.3%)

Memory
-39.0MiB live, 541.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×*-lowering-*.f32
4 760×*-lowering-*.f64
3 316×/-lowering-/.f32
3 316×/-lowering-/.f64
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

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

simplify542.0ms (3.4%)

Memory
34.3MiB live, 998.9MiB allocated
Algorithm
1×egg-herbie
Rules
16 966×accelerator-lowering-fma.f32
16 966×accelerator-lowering-fma.f64
6 828×+-lowering-+.f64
6 828×+-lowering-+.f32
6 246×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
Stop Event
1×iter limit
1×node limit
Counts
120 → 120
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
1
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(/ (sin (* x (PI))) (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
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(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 x (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))

eval91.0ms (0.6%)

Memory
-6.7MiB live, 283.4MiB allocated
Compiler

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

prune253.0ms (1.6%)

Memory
22.4MiB live, 472.6MiB allocated
Pruning

46 alts after pruning (45 fresh and 1 done)

PrunedKeptTotal
New968451 013
Fresh000
Picked011
Done000
Total968461 014
Accuracy
99.4%
Counts
1 014 → 46
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
▶97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
96.8%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))) tau)
97.1%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
96.9%
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
67.2%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
97.0%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) x)
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
67.2%
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
▶96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
62.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
76.4%
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 tau (sqrt.f32 (PI.f32)))))
96.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (PI.f32)))))
62.1%
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 tau (cbrt.f32 (PI.f32))) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
95.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
95.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
✓97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))))
68.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.1%
(*.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))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sqrt.f32 (PI.f32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
96.7%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶97.5%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.5%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
97.3%
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
89.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶61.4%
#s(literal 1 binary32)
Compiler

Compiled 2 229 to 1 224 computations (45.1% saved)

simplify211.0ms (1.3%)

Memory
-25.4MiB live, 364.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓cost-diff800
(*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x))
✓cost-diff192
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
✓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 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓cost-diff192
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Rules
7 034×*-lowering-*.f32
7 034×*-lowering-*.f64
4 234×associate-*r*
3 618×/-lowering-/.f32
3 618×/-lowering-/.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029319
191307
2317307
31627307
41842307
51845307
61845307
75008307
85008307
95008307
105033307
115033307
127329307
137455307
147455307
09699307
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) (/ (sin (* x (PI))) (* x (PI))))
(* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau))))
(/ 1 (* x (* (PI) tau)))
1
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (* (PI) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
(* x (PI))
1
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* tau (* (PI) (* x (PI))))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(sin (* x (PI)))
(* x (PI))
(* x (* tau (* (PI) (* x (PI)))))
(* tau (* (PI) (* x (PI))))
(* (PI) (* x (PI)))
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x)) (* (PI) tau))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x))
(* (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)
(* (/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI)))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI))))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(* (* (* x tau) (sqrt (PI))) (sqrt (PI)))
(* (* x tau) (sqrt (PI)))
(* x tau)
(sqrt (PI))
(/ (sin (* x (PI))) (* x (PI)))
(sin (* x (PI)))
Outputs
(* (* (/ 1 (* x (* (PI) tau))) (sin (* 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)))))
(* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/ 1 (* x (* (PI) tau)))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
1
#s(literal 1 binary32)
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
1
#s(literal 1 binary32)
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* tau (* (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)))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (* tau (* (PI) (* x (PI)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(* tau (* (PI) (* x (PI))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(* (PI) (* x (PI)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x)) (* (PI) tau))
(/.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)))))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(* (* x (PI)) x)
(*.f32 x (*.f32 x (PI.f32)))
(* (/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI)))) (/ (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)))))
(/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x (PI)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(* (* (* x tau) (sqrt (PI))) (sqrt (PI)))
(*.f32 x (*.f32 (PI.f32) tau))
(* (* x tau) (sqrt (PI)))
(*.f32 x (*.f32 tau (sqrt.f32 (PI.f32))))
(* x tau)
(*.f32 x tau)
(sqrt (PI))
(sqrt.f32 (PI.f32))
(/ (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)))

localize125.0ms (0.8%)

Memory
-3.3MiB live, 266.5MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32)))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))
✓accuracy98.6%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.6%
(*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
✓accuracy98.9%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x))
✓accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy99.0%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Samples
59.0ms256×0valid
Compiler

Compiled 325 to 31 computations (90.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 44.0ms
ival-mult: 22.0ms (50.3% of total)
ival-sin: 10.0ms (22.8% of total)
ival-div: 8.0ms (18.3% of total)
ival-sqrt: 2.0ms (4.6% of total)
ival-pi: 1.0ms (2.3% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.1%)

Memory
0.8MiB live, 38.5MiB allocated
Counts
17 → 372
Calls
Call 1
Inputs
#<alt (* (* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau))))>
#<alt (/ 1 (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* tau (* (PI) (* x (PI))))))>
#<alt (* (sin (* x (* (PI) tau))) (sin (* x (PI))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x)) (* (PI) tau))>
#<alt (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x))>
#<alt (* (* (* x tau) (sqrt (PI))) (sqrt (PI)))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI)))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI))))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* (PI) tau)>
#<alt (* (PI) (* x (PI)))>
#<alt (* (* x tau) (sqrt (PI)))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (/ 1 (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* 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 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 (PI))>
#<alt (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))>
#<alt (+ (* 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 (+ (* 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)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* tau (sin (* x (PI)))) x)>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI))))))))) (/ (sin (* x (PI))) x)))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) x)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<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))))>
#<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 (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* tau (PI))>
#<alt (* x (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) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
#<alt (* (* tau x) (sqrt (PI)))>
Calls

93 calls:

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

rewrite425.0ms (2.7%)

Memory
-1.2MiB live, 713.6MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×*-lowering-*.f32
4 760×*-lowering-*.f64
4 676×/-lowering-/.f32
4 676×/-lowering-/.f64
1 868×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029199
1161187
21282179
37957179
08017179
Stop Event
1×iter limit
1×node limit
Counts
17 → 2 025
Calls
Call 1
Inputs
(* (* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau)))) (/ (sin (* x (PI))) (* x (PI))))
(* (/ 1 (* x (* (PI) tau))) (sin (* x (* (PI) tau))))
(/ 1 (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* x (* tau (* (PI) (* x (PI))))))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(/ (/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x)) (* (PI) tau))
(/ (* (sin (* x (* (PI) tau))) (sin (* x (PI)))) (* (* x (PI)) x))
(* (* (* x tau) (sqrt (PI))) (sqrt (PI)))
(* (/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI)))) (/ (sin (* x (PI))) (* x (PI))))
(/ (sin (* (* x (PI)) tau)) (* (* (* x tau) (sqrt (PI))) (sqrt (PI))))
(sin (* (* x (PI)) tau))
(/ (sin (* x (PI))) (* x (PI)))
(* (PI) tau)
(* (PI) (* x (PI)))
(* (* x tau) (sqrt (PI)))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (neg.f32 (PI.f32))))))))
(neg.f32 (*.f32 (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 #s(literal 1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (neg.f32 (PI.f32)))))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
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(*.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (/.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
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(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 x (PI.f32)) (cbrt.f32 (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) x)
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (cbrt.f32 (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 x (*.f32 tau (sqrt.f32 (PI.f32))))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 x tau))
(*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) x)
(*.f32 (*.f32 x (sqrt.f32 (PI.f32))) tau)

simplify637.0ms (4%)

Memory
36.0MiB live, 1 135.3MiB allocated
Algorithm
1×egg-herbie
Rules
24 092×accelerator-lowering-fma.f32
24 092×accelerator-lowering-fma.f64
7 348×+-lowering-+.f64
7 348×+-lowering-+.f32
6 952×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03355742
111045606
243065444
082705272
Stop Event
1×iter limit
1×node limit
Counts
372 → 372
Calls
Call 1
Inputs
1
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(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
1
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(* tau (PI))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))
(+ (* 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))))))))))
(+ (* 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)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* tau (sin (* x (PI)))) x)
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI))))))))) (/ (sin (* x (PI))) x)))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (* (pow (PI) 2) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 6) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 4) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* tau (* x (PI)))
(* 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))))
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))))
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)))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
(* (* tau x) (sqrt (PI)))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.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))))
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.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)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
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(* 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)))))))))))
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(+ (* 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))))))))))
(fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))) (*.f32 tau (PI.f32)))
(+ (* 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)))))))))))))))
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(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(* tau (* x (PI)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(* tau (* x (PI)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
1
#s(literal 1 binary32)
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
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(/ (sin (* x (PI))) (* x (PI)))
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(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(/.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)))))
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(/.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)))))
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(/.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)))))
1
#s(literal 1 binary32)
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(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (*.f32 x x) (*.f32 x x))))) #s(literal 1 binary32))
(+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (pow.f32 x #s(literal 6 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)))) (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(*.f32 x (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau) (*.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))) (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau))) (*.f32 tau (PI.f32))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 #s(literal 1/120 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 tau #s(literal 7 binary32)) (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 7 binary32))))))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) tau))) (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(*.f32 tau (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(*.f32 tau (fma.f32 tau (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))) (*.f32 (*.f32 tau tau) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)))))) (*.f32 x (PI.f32))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 (pow.f32 x #s(literal 7 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal 1/120 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x x)))))) (*.f32 x (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
(sin (* tau (* x (PI))))
(sin.f32 (*.f32 x (*.f32 tau (PI.f32))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* x (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) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))
(* (* tau x) (sqrt (PI)))
(*.f32 tau (*.f32 x (sqrt.f32 (PI.f32))))

eval724.0ms (4.5%)

Memory
4.5MiB live, 610.0MiB allocated
Compiler

Compiled 73 326 to 3 229 computations (95.6% saved)

prune496.0ms (3.1%)

Memory
-5.3MiB live, 657.2MiB allocated
Pruning

58 alts after pruning (55 fresh and 3 done)

PrunedKeptTotal
New2 908352 943
Fresh202040
Picked235
Done101
Total2 931582 989
Accuracy
99.5%
Counts
2 989 → 58
Alt Table
Click to see full alt table
StatusAccuracyProgram
75.5%
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
▶80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
▶75.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
75.2%
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
61.3%
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
96.7%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
68.5%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (+.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
67.3%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal 2 binary32))))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
97.1%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
67.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal 2 binary32)))
61.2%
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (PI.f32))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 x (neg.f32 (PI.f32))))))
96.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
✓96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(/.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)))))
95.4%
(/.f32 (*.f32 (sin.f32 (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
62.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
97.0%
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (neg.f32 (PI.f32)))))))
75.0%
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 1/2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
76.4%
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (PI.f32)))))
96.9%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
62.1%
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 tau (cbrt.f32 (PI.f32))) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
68.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
95.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
▶97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))))
68.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.1%
(*.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))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
▶96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
▶67.2%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
82.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓97.5%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
68.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
96.5%
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
96.5%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
89.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓61.4%
#s(literal 1 binary32)
Compiler

Compiled 2 853 to 1 591 computations (44.2% saved)

simplify496.0ms (3.1%)

Memory
10.4MiB live, 535.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))
✓cost-diff0
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓cost-diff0
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
✓cost-diff160
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32)))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
✓cost-diff320
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓cost-diff0
(*.f32 (PI.f32) (PI.f32))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
✓cost-diff192
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))))
✓cost-diff704
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
Rules
10 358×accelerator-lowering-fma.f32
10 358×accelerator-lowering-fma.f64
4 796×*-lowering-*.f32
4 796×*-lowering-*.f64
3 156×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062521
1190507
2676497
33101497
44939497
55702497
67413497
08324472
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI)))))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(sin (* (* x (PI)) tau))
(* (* x (PI)) tau)
(* x (PI))
x
(PI)
tau
(* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI))))))
(/ 1 (* x (PI)))
1
(/ 1 (/ 1 (sin (* x (PI)))))
(/ 1 (sin (* x (PI))))
(sin (* x (PI)))
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
(* x x)
x
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(PI)
(+ (* -1/6 (* tau tau)) -1/6)
-1/6
(* tau tau)
tau
1
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))) 1)
(* x x)
x
(+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))
(* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(pow (PI) 4)
(PI)
4
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* tau tau) (* tau tau)) 1)
(* tau tau)
tau
1
1/120
(* (* tau tau) 1/36)
1/36
(* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI))))
-1/6
(* (PI) (+ (* (* tau tau) (PI)) (PI)))
(+ (* (* tau tau) (PI)) (PI))
(* (/ (sin (* x (PI))) tau) (/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI))))))
(/ (sin (* x (PI))) tau)
(sin (* x (PI)))
(* x (PI))
x
(PI)
tau
(/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI)))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
(* x (* (PI) (* x (PI))))
(* (PI) (* x (PI)))
(* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
(cos (* x (- (* (PI) tau) (PI))))
(* x (- (* (PI) tau) (PI)))
x
(- (* (PI) tau) (PI))
(* (PI) tau)
(PI)
tau
(cos (* x (+ (* (PI) tau) (PI))))
(* x (+ (* (PI) tau) (PI)))
(+ (* (PI) tau) (PI))
(/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2))
1
(* (* x (* (PI) (* x (* (PI) tau)))) 2)
(* x (* (PI) (* x (* (PI) tau))))
(* (PI) (* x (* (PI) tau)))
(* x (* (PI) tau))
2
Outputs
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin (* (* x (PI)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* (* x (PI)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ 1 (* x (PI)))
(/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(/ 1 (/ 1 (sin (* x (PI)))))
(sin.f32 (*.f32 x (PI.f32)))
(/ 1 (sin (* x (PI))))
(/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
(fma.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
(+ (* -1/6 (* tau tau)) -1/6)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
-1/6
#s(literal -1/6 binary32)
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))) 1)
(fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))
(fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))))
(* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(pow (PI) 4)
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI)
(PI.f32)
4
#s(literal 4 binary32)
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(+ (* (* tau tau) (* tau tau)) 1)
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
1/120
#s(literal 1/120 binary32)
(* (* tau tau) 1/36)
(*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))
1/36
#s(literal 1/36 binary32)
(* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
-1/6
#s(literal -1/6 binary32)
(* (PI) (+ (* (* tau tau) (PI)) (PI)))
(*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)))
(+ (* (* tau tau) (PI)) (PI))
(fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))
(* (/ (sin (* x (PI))) tau) (/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/ (sin (* x (PI))) tau)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) tau)
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
tau
(/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI)))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(* x (* (PI) (* x (PI))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(* (PI) (* x (PI)))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) #s(literal 2 binary32)))))
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
(-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
(cos (* x (- (* (PI) tau) (PI))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(* x (- (* (PI) tau) (PI)))
(*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))
x
(- (* (PI) tau) (PI))
(fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(cos (* x (+ (* (PI) tau) (PI))))
(cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))
(* x (+ (* (PI) tau) (PI)))
(*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))
(+ (* (PI) tau) (PI))
(fma.f32 (PI.f32) tau (PI.f32))
(/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2))
(/.f32 #s(literal 1/2 binary32) (*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
1
#s(literal 1 binary32)
(* (* x (* (PI) (* x (* (PI) tau)))) 2)
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 (*.f32 x tau) #s(literal 2 binary32))))
(* x (* (PI) (* x (* (PI) tau))))
(*.f32 tau (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
(* (PI) (* x (* (PI) tau)))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
2
#s(literal 2 binary32)

localize248.0ms (1.6%)

Memory
-23.5MiB live, 417.0MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(fma.f32 (PI.f32) tau (PI.f32))
✓accuracy98.6%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
✓accuracy97.6%
(-.f32 (*.f32 (PI.f32) tau) (PI.f32))
✓accuracy68.9%
(-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
✓accuracy98.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))
✓accuracy98.8%
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓accuracy98.5%
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
✓accuracy95.0%
(pow.f32 (PI.f32) #s(literal 4 binary32))
✓accuracy99.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓accuracy98.9%
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
✓accuracy98.7%
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.1%
(*.f32 x (PI.f32))
✓accuracy98.8%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy98.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))))
✓accuracy98.6%
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
Samples
160.0ms256×0valid
Compiler

Compiled 513 to 64 computations (87.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 134.0ms
ival-mult: 66.0ms (49.1% of total)
const: 21.0ms (15.6% of total)
ival-sin: 15.0ms (11.2% of total)
ival-div: 11.0ms (8.2% of total)
ival-add: 8.0ms (6% of total)
ival-cos: 6.0ms (4.5% of total)
ival-sub: 2.0ms (1.5% of total)
ival-pow: 2.0ms (1.5% of total)
ival-pi: 1.0ms (0.7% of total)
exact: 1.0ms (0.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series54.0ms (0.3%)

Memory
0.4MiB live, 80.9MiB allocated
Counts
29 → 492
Calls
Call 1
Inputs
#<alt (/ 1 (/ 1 (sin (* x (PI)))))>
#<alt (* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI)))))))>
#<alt (* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI))))))>
#<alt (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))>
#<alt (+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)>
#<alt (* x x)>
#<alt (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))>
#<alt (* (PI) (PI))>
#<alt (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))>
#<alt (+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))) 1)>
#<alt (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))>
#<alt (* (/ (sin (* x (PI))) tau) (/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI))))))>
#<alt (/ (sin (* x (PI))) tau)>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2))>
#<alt (* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))>
#<alt (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))>
#<alt (cos (* x (- (* (PI) tau) (PI))))>
#<alt (sin (* (* x (PI)) tau))>
#<alt (+ (* -1/6 (* tau tau)) -1/6)>
#<alt (pow (PI) 4)>
#<alt (+ (* (* tau tau) (* tau tau)) 1)>
#<alt (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* (PI) (* x (PI)))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI)))))>
#<alt (- (* (PI) tau) (PI))>
#<alt (+ (* (PI) tau) (PI))>
Outputs
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (/ 1 (pow tau 2)))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (* -1/6 (pow (PI) 2))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))>
#<alt (* -1/6 (* (pow tau 2) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* -1/6 (* (pow tau 2) (pow (PI) 2)))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt (* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/36 (pow tau 2)))>
#<alt (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))>
#<alt (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt 1>
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#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* 1/2 (/ (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI)))))) (* tau (* (pow x 2) (pow (PI) 2)))))>
#<alt (* (pow x 2) (- (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (* (pow x 2) (- (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (- (+ (* 1/24 (pow (- (* tau (PI)) (PI)) 4)) (* (pow x 2) (- (+ (* -1/720 (pow (- (* tau (PI)) (PI)) 6)) (* (pow x 2) (- (* 1/40320 (pow (- (* tau (PI)) (PI)) 8)) (* 1/40320 (pow (+ (PI) (* tau (PI))) 8))))) (* -1/720 (pow (+ (PI) (* tau (PI))) 6))))) (* 1/24 (pow (+ (PI) (* tau (PI))) 4))))) (* -1/2 (pow (+ (PI) (* tau (PI))) 2))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (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 (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt (- (cos (* x (- (* tau (PI)) (PI)))) (cos (* x (+ (PI) (* tau (PI))))))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* 1/24 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/2 (pow (- (* tau (PI)) (PI)) 2)) (* (pow x 2) (+ (* -1/720 (* (pow x 2) (pow (- (* tau (PI)) (PI)) 6))) (* 1/24 (pow (- (* tau (PI)) (PI)) 4)))))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* -1 (* x (PI))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* -1 (* tau (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<alt (+ (cos (* -1 (* x (PI)))) (* tau (- (* -1/2 (* tau (* (pow x 2) (* (pow (PI) 2) (cos (* -1 (* x (PI)))))))) (* x (* (PI) (sin (* -1 (* x (PI)))))))))>
#<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 (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (cos (* x (- (* tau (PI)) (PI))))>
#<alt (* 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 -1/6>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (- (* -1/6 (pow tau 2)) 1/6)>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1/6 (pow tau 2))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt (* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))>
#<alt 1>
#<alt (+ 1 (pow tau 4))>
#<alt (+ 1 (pow tau 4))>
#<alt (+ 1 (pow tau 4))>
#<alt (pow tau 4)>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (pow tau 4)>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))>
#<alt (* 1/120 (pow (PI) 4))>
#<alt (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))>
#<alt (+ (* 1/120 (pow (PI) 4)) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (pow (PI) 4))) (* 1/36 (pow (PI) 4)))))>
#<alt (+ (* 1/120 (pow (PI) 4)) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (pow (PI) 4))) (* 1/36 (pow (PI) 4)))))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* (pow tau 4) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2)))))>
#<alt (* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))>
#<alt (* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* (pow tau 4) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2)))))>
#<alt (* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))>
#<alt (* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* 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 (PI)))>
#<alt (/ (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (PI)))) (/ tau (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (PI))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 3)))))) (/ tau (PI))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 5) (pow (PI) 3))))))) (/ tau (PI))) x)>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI)))))>
#<alt (* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI)))))>
#<alt (* tau (+ (* (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)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1 (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (- (* tau (PI)) (PI))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (+ (PI) (* -1 (/ (PI) tau))))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))>
#<alt (PI)>
#<alt (+ (PI) (* tau (PI)))>
#<alt (+ (PI) (* tau (PI)))>
#<alt (+ (PI) (* tau (PI)))>
#<alt (* tau (PI))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (+ (PI) (/ (PI) tau)))>
#<alt (* tau (PI))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
#<alt (* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))>
Calls

123 calls:

TimeVariablePointExpression
7.0ms
x
@0
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))) 1)
6.0ms
tau
@inf
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))) 1)
2.0ms
x
@0
(* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))
1.0ms
tau
@inf
(* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))
1.0ms
tau
@-inf
(* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))

rewrite454.0ms (2.8%)

Memory
16.5MiB live, 806.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 532×*-lowering-*.f32
5 532×*-lowering-*.f64
4 728×accelerator-lowering-fma.f32
4 728×accelerator-lowering-fma.f64
3 762×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062348
1383324
23478322
09325302
Stop Event
1×iter limit
1×node limit
Counts
29 → 1 301
Calls
Call 1
Inputs
(/ 1 (/ 1 (sin (* x (PI)))))
(* (/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau)) (* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI)))))))
(* (/ 1 (* x (PI))) (/ 1 (/ 1 (sin (* x (PI))))))
(/ (sin (* (* x (PI)) tau)) (* (* x (PI)) tau))
(+ (* (* x x) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))) 1)
(* x x)
(* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6))
(* (PI) (PI))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))) 1)
(+ (* (* x x) (* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))) (* -1/6 (* (PI) (+ (* (* tau tau) (PI)) (PI)))))
(* (/ (sin (* x (PI))) tau) (/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI))))))
(/ (sin (* x (PI))) tau)
(sin (* x (PI)))
(* x (PI))
(/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2))
(* (- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI))))) (/ 1 (* (* x (* (PI) (* x (* (PI) tau)))) 2)))
(- (cos (* x (- (* (PI) tau) (PI)))) (cos (* x (+ (* (PI) tau) (PI)))))
(cos (* x (- (* (PI) tau) (PI))))
(sin (* (* x (PI)) tau))
(+ (* -1/6 (* tau tau)) -1/6)
(pow (PI) 4)
(+ (* (* tau tau) (* tau tau)) 1)
(* (pow (PI) 4) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36)))
(sin (* x (* (PI) tau)))
(* (PI) (* x (PI)))
(/ (sin (* x (* (PI) tau))) (* x (* (PI) (* x (PI)))))
(- (* (PI) tau) (PI))
(+ (* (PI) tau) (PI))
Outputs
(neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(sin.f32 (*.f32 x (PI.f32)))
(pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))
(pow.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/2 binary32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1/2 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (/.f32 #s(literal -1 binary32) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))
(*.f32 #s(literal -1 binary32) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 #s(literal -1 binary32) (pow.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/2 binary32)) (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/2 binary32)))
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(*.f32 (pow.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)) (pow.f32 (pow.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1/2 binary32)) #s(literal -1 binary32)))
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(/.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau))))) (neg.f32 (-.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau))))) (neg.f32 (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (neg.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(/.f32 (-.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(/.f32 (neg.f32 (*.f32 (PI.f32) (-.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))))) (neg.f32 (-.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau)))))) (neg.f32 (neg.f32 (-.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (neg.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))) (neg.f32 (neg.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))))
(*.f32 (PI.f32) (+.f32 #s(literal 1 binary32) tau))
(*.f32 (PI.f32) (+.f32 tau #s(literal 1 binary32)))
(*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (-.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(*.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (/.f32 #s(literal 1 binary32) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))
(*.f32 (+.f32 tau #s(literal 1 binary32)) (PI.f32))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (fma.f32 (*.f32 (PI.f32) tau) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau)) (*.f32 (PI.f32) (fma.f32 (PI.f32) tau (PI.f32)))))
(*.f32 (/.f32 (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (fma.f32 (PI.f32) tau (PI.f32)))

simplify1.5s (9.2%)

Memory
-26.0MiB live, 785.2MiB allocated
Algorithm
1×egg-herbie
Rules
15 574×accelerator-lowering-fma.f32
15 574×accelerator-lowering-fma.f64
8 600×*-lowering-*.f32
8 600×*-lowering-*.f64
3 216×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
06128756
120128480
273248480
080828056
Stop Event
1×iter limit
1×node limit
Counts
492 → 492
Calls
Call 1
Inputs
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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)))
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))))
1
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (/ 1 (pow x 2))))
(+ 1 (* -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 (+ (* -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) (+ (* -1/6 (* (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)))))
(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 (PI) 2))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* -1/6 (* (pow tau 2) (pow (PI) 2)))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
(* (pow tau 2) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (* -1/6 (pow (PI) 2))))
1/120
(+ 1/120 (* 1/36 (pow tau 2)))
(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
1
(+ 1 (* -1/6 (* (pow x 2) (* (PI) (+ (PI) (* (pow tau 2) (PI)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))))
(* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(+ 1 (+ (* (pow tau 2) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(+ 1 (+ (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))))) (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4)))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (/ 1 (pow tau 4)) (+ (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))) (pow tau 4)) (/ (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4))))) (pow tau 2))))))
(* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI)))))
(+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 2) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 2) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 2) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
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(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* 1/120 (pow (PI) 4))
(+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))
(+ (* 1/120 (pow (PI) 4)) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (pow (PI) 4))) (* 1/36 (pow (PI) 4)))))
(+ (* 1/120 (pow (PI) 4)) (* (pow tau 2) (+ (* 1/120 (* (pow tau 2) (pow (PI) 4))) (* 1/36 (pow (PI) 4)))))
(* 1/120 (* (pow tau 4) (pow (PI) 4)))
(* (pow tau 4) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2)))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(* 1/120 (* (pow tau 4) (pow (PI) 4)))
(* (pow tau 4) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2)))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(/ tau (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (PI)))) (/ tau (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (PI))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 3)))))) (/ tau (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 5) (pow (PI) 3))))))) (/ tau (PI))) x)
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI)))))
(* tau (+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI)))))
(* tau (+ (* (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)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(/ (sin (* tau (* x (PI)))) (* (pow x 2) (pow (PI) 2)))
(* -1 (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(- (* tau (PI)) (PI))
(* tau (PI))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (+ (PI) (* -1 (/ (PI) tau))))
(* tau (PI))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(PI)
(+ (PI) (* tau (PI)))
(+ (PI) (* tau (PI)))
(+ (PI) (* tau (PI)))
(* tau (PI))
(* tau (+ (PI) (/ (PI) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(* tau (PI))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
Outputs
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)))) (PI.f32)))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) #s(literal -1/5040 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) (fma.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 4 binary32)) #s(literal 1/120 binary32))) (*.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 4 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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))))
(fma.f32 (*.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (PI.f32)) x) (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 tau (*.f32 tau (fma.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (pow.f32 x #s(literal 5 binary32))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32))) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.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 (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))
(fma.f32 (*.f32 x x) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 x x)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/5040 binary32) (pow.f32 (PI.f32) #s(literal 6 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
1
#s(literal 1 binary32)
(+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 tau #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (*.f32 (pow.f32 tau #s(literal 6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (*.f32 (*.f32 x x) #s(literal -1/5040 binary32))))) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))
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(* tau (PI))
(*.f32 (PI.f32) tau)
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(neg.f32 (*.f32 tau (-.f32 (/.f32 (PI.f32) tau) (PI.f32))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(neg.f32 (*.f32 tau (-.f32 (/.f32 (PI.f32) tau) (PI.f32))))
(* -1 (* tau (+ (* -1 (PI)) (/ (PI) tau))))
(neg.f32 (*.f32 tau (-.f32 (/.f32 (PI.f32) tau) (PI.f32))))
(PI)
(PI.f32)
(+ (PI) (* tau (PI)))
(fma.f32 (PI.f32) tau (PI.f32))
(+ (PI) (* tau (PI)))
(fma.f32 (PI.f32) tau (PI.f32))
(+ (PI) (* tau (PI)))
(fma.f32 (PI.f32) tau (PI.f32))
(* tau (PI))
(*.f32 (PI.f32) tau)
(* tau (+ (PI) (/ (PI) tau)))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (+ (PI) (/ (PI) tau)))
(*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))
(* tau (PI))
(*.f32 (PI.f32) tau)
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(*.f32 (neg.f32 (+.f32 (PI.f32) (/.f32 (PI.f32) tau))) (neg.f32 tau))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(*.f32 (neg.f32 (+.f32 (PI.f32) (/.f32 (PI.f32) tau))) (neg.f32 tau))
(* -1 (* tau (+ (* -1 (PI)) (* -1 (/ (PI) tau)))))
(*.f32 (neg.f32 (+.f32 (PI.f32) (/.f32 (PI.f32) tau))) (neg.f32 tau))

eval381.0ms (2.4%)

Memory
20.6MiB live, 649.1MiB allocated
Compiler

Compiled 74 160 to 4 685 computations (93.7% saved)

prune364.0ms (2.3%)

Memory
20.2MiB live, 982.8MiB allocated
Pruning

86 alts after pruning (82 fresh and 4 done)

PrunedKeptTotal
New1 966492 015
Fresh173350
Picked325
Done123
Total1 987862 073
Accuracy
99.6%
Counts
2 073 → 86
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.2%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
75.5%
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
62.6%
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
67.2%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
▶62.6%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
67.2%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
75.2%
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
▶96.7%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
68.6%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
65.8%
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))))
67.2%
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
67.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal 2 binary32)))
61.2%
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
96.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (PI.f32))
97.1%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 x (neg.f32 (PI.f32))))))
96.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
96.7%
(/.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)))))
▶97.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
67.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
61.1%
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
62.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
75.6%
(-.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))))
80.1%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
80.2%
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
96.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.9%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.6%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
68.6%
(*.f32 (/.f32 (*.f32 x (PI.f32)) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 tau (cbrt.f32 (PI.f32))) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
81.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
68.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
✓97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))))
82.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))))
68.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.1%
(*.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))))
97.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
▶96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
96.9%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
80.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))))
67.3%
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
48.3%
(*.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
66.2%
(*.f32 (-.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) tau))) (cos.f32 (neg.f32 (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.1%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.2%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (*.f32 (+.f32 tau #s(literal 1 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.2%
(*.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
32.0%
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
82.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓97.5%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
68.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
97.2%
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
81.6%
(*.f32 (*.f32 x (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) x) x (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
4.8%
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
74.9%
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
96.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.3%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
89.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
96.2%
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 x (fma.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)) (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
✓61.4%
#s(literal 1 binary32)
Compiler

Compiled 5 024 to 2 733 computations (45.6% saved)

simplify651.0ms (4.1%)

Memory
-3.9MiB live, 1 511.1MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau)
✓cost-diff0
(PI.f32)
✓cost-diff0
(/.f32 #s(literal 1 binary32) (PI.f32))
✓cost-diff544
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) tau))
✓cost-diff0
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
✓cost-diff320
(fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))
✓cost-diff480
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓cost-diff0
(*.f32 (PI.f32) (PI.f32))
✓cost-diff0
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
✓cost-diff0
(*.f32 x x)
✓cost-diff0
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
Rules
29 000×accelerator-lowering-fma.f32
29 000×accelerator-lowering-fma.f64
7 910×*-lowering-*.f32
7 910×*-lowering-*.f64
4 874×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049444
1154426
2579418
33002416
46845416
57574412
67637412
77640412
87640412
08992399
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(/ (* (sin (* x (PI))) (sin (* x (* (PI) tau)))) (* (* x (PI)) (* x (* (PI) tau))))
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(sin (* x (PI)))
(* x (PI))
x
(PI)
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
tau
(* (* x (PI)) (* x (* (PI) tau)))
(+ (* (* x x) (* (* (PI) (PI)) -1/6)) 1)
(* x x)
x
(* (* (PI) (PI)) -1/6)
(* (PI) (PI))
(PI)
-1/6
1
(+ (* (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))) (+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1))
(* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI))))))
(* x x)
x
(* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* (PI) (* (PI) (PI))))
(PI)
(* (PI) (* (PI) (PI)))
(* (PI) (PI))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(+ (* (* tau tau) (* tau tau)) 1)
(* tau tau)
tau
1
1/120
(* (* tau tau) 1/36)
1/36
(+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1)
(* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))
(* (+ (* (PI) (* tau tau)) (PI)) -1/6)
(+ (* (PI) (* tau tau)) (PI))
-1/6
(* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
x
(* (PI) tau)
(PI)
tau
(* x (* tau (* (PI) (* x (PI)))))
(* tau (* (PI) (* x (PI))))
(* (PI) (* x (PI)))
(* x (PI))
(sin (* x (PI)))
(/ (/ 1 (PI)) (* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau))
(/ 1 (PI))
1
(PI)
(* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)
(/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI)))))
(* x (* x (PI)))
x
(* x (PI))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(* (PI) tau)
tau
(sin (* x (PI)))
Outputs
(/ (* (sin (* x (PI))) (sin (* x (* (PI) tau)))) (* (* x (PI)) (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
x
(PI)
(PI.f32)
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(* (* x (PI)) (* x (* (PI) tau)))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(+ (* (* x x) (* (* (PI) (PI)) -1/6)) 1)
(fma.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (PI.f32)))) #s(literal 1 binary32))
(* x x)
(*.f32 x x)
x
(* (* (PI) (PI)) -1/6)
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(PI)
(PI.f32)
-1/6
#s(literal -1/6 binary32)
1
#s(literal 1 binary32)
(+ (* (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))) (+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1))
(fma.f32 (*.f32 (PI.f32) (*.f32 x x)) (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI))))))
(*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (*.f32 x x)))) (PI.f32)) (PI.f32)))
(* x x)
(*.f32 x x)
x
(* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x x)))))
(* (PI) (* (PI) (* (PI) (PI))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(PI)
(PI.f32)
(* (PI) (* (PI) (PI)))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(* (PI) (PI))
(*.f32 (PI.f32) (PI.f32))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(+ (* (* tau tau) (* tau tau)) 1)
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* tau tau)
(*.f32 tau tau)
tau
1
#s(literal 1 binary32)
1/120
#s(literal 1/120 binary32)
(* (* tau tau) 1/36)
(*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))
1/36
#s(literal 1/36 binary32)
(+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1)
(fma.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))
(*.f32 (PI.f32) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(* (+ (* (PI) (* tau tau)) (PI)) -1/6)
(*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(+ (* (PI) (* tau tau)) (PI))
(fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))
-1/6
#s(literal -1/6 binary32)
(* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
(/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
x
(* (PI) tau)
(*.f32 (PI.f32) tau)
(PI)
(PI.f32)
tau
(* x (* tau (* (PI) (* x (PI)))))
(*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(* tau (* (PI) (* x (PI))))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(* (PI) (* x (PI)))
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
(* x (PI))
(*.f32 x (PI.f32))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(/ (/ 1 (PI)) (* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
(/ 1 (PI))
(/.f32 #s(literal 1 binary32) (PI.f32))
1
#s(literal 1 binary32)
(PI)
(PI.f32)
(* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)
(/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI)))))
(/.f32 (*.f32 (PI.f32) (*.f32 x x)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(* x (* x (PI)))
(*.f32 (PI.f32) (*.f32 x x))
x
(* x (PI))
(*.f32 x (PI.f32))
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin (* x (* (PI) tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(* x (* (PI) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(* (PI) tau)
(*.f32 (PI.f32) tau)
tau
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))

localize177.0ms (1.1%)

Memory
-1.0MiB live, 397.1MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.0%
(*.f32 (PI.f32) tau)
✓accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.0%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
✓accuracy99.0%
(*.f32 (PI.f32) tau)
✓accuracy98.7%
(*.f32 (PI.f32) (*.f32 x (PI.f32)))
✓accuracy98.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.7%
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
✓accuracy98.5%
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy100.0%
(*.f32 x x)
✓accuracy100.0%
(PI.f32)
✓accuracy99.7%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.9%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.9%
(*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.8%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
✓accuracy98.6%
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
Samples
102.0ms256×0valid
Compiler

Compiled 444 to 51 computations (88.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 81.0ms
ival-mult: 47.0ms (58% of total)
ival-sin: 9.0ms (11.1% of total)
const: 9.0ms (11.1% of total)
ival-div: 7.0ms (8.6% of total)
ival-add: 7.0ms (8.6% of total)
ival-pi: 1.0ms (1.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series41.0ms (0.3%)

Memory
-9.6MiB live, 27.1MiB allocated
Counts
26 → 384
Calls
Call 1
Inputs
#<alt (/ (* (sin (* x (PI))) (sin (* x (* (PI) tau)))) (* (* x (PI)) (* x (* (PI) tau))))>
#<alt (* (sin (* x (PI))) (sin (* x (* (PI) tau))))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (+ (* (* x x) (* (* (PI) (PI)) -1/6)) 1)>
#<alt (* x x)>
#<alt (* (* (PI) (PI)) -1/6)>
#<alt (* (PI) (PI))>
#<alt (+ (* (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))) (+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1))>
#<alt (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))>
#<alt (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI))))))>
#<alt (* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))>
#<alt (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))>
#<alt (sin (* x (* (PI) tau)))>
#<alt (* x (* (PI) tau))>
#<alt (/ (/ 1 (PI)) (* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau))>
#<alt (/ 1 (PI))>
#<alt (PI)>
#<alt (* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)>
#<alt (* (* x (PI)) (* x (* (PI) tau)))>
#<alt (* (PI) (* (PI) (* (PI) (PI))))>
#<alt (+ (* (* tau tau) (* tau tau)) 1)>
#<alt (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))>
#<alt (* (PI) (* x (PI)))>
#<alt (* (PI) tau)>
#<alt (* (sin (* x (* (PI) tau))) (sin (* x (PI))))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (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 (* x (PI))>
#<alt (* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))>
#<alt (* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (sin (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* -1/6 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt (pow x 2)>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (* (PI) (+ (PI) (* (pow tau 2) (PI)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))>
#<alt (* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/36 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))>
#<alt (* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))>
#<alt 1/120>
#<alt (+ 1/120 (* 1/36 (pow tau 2)))>
#<alt (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))>
#<alt (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<alt (* (pow x 4) (pow (PI) 4))>
#<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))))))))))>
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#<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))))>
Calls

96 calls:

TimeVariablePointExpression
19.0ms
tau
@0
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
1.0ms
x
@0
(* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)
1.0ms
tau
@0
(* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)
1.0ms
tau
@-inf
(* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)
1.0ms
tau
@0
(+ (* (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))) (+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1))

rewrite469.0ms (2.9%)

Memory
0.3MiB live, 884.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 332×accelerator-lowering-fma.f32
6 332×accelerator-lowering-fma.f64
5 058×*-lowering-*.f32
5 058×*-lowering-*.f64
3 450×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049277
1289243
22517239
08533231
Stop Event
1×iter limit
1×node limit
Counts
26 → 1 047
Calls
Call 1
Inputs
(/ (* (sin (* x (PI))) (sin (* x (* (PI) tau)))) (* (* x (PI)) (* x (* (PI) tau))))
(* (sin (* x (PI))) (sin (* x (* (PI) tau))))
(sin (* x (PI)))
(* x (PI))
(+ (* (* x x) (* (* (PI) (PI)) -1/6)) 1)
(* x x)
(* (* (PI) (PI)) -1/6)
(* (PI) (PI))
(+ (* (* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))) (+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))) (+ (* (* x x) (* (PI) (* (+ (* (PI) (* tau tau)) (PI)) -1/6))) 1))
(+ (* (+ (* (* tau tau) (* tau tau)) 1) 1/120) (* (* tau tau) 1/36))
(* (* x x) (* (* x x) (* (PI) (* (PI) (* (PI) (PI))))))
(* (/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI)))))) (sin (* x (PI))))
(/ (sin (* x (* (PI) tau))) (* x (* tau (* (PI) (* x (PI))))))
(sin (* x (* (PI) tau)))
(* x (* (PI) tau))
(/ (/ 1 (PI)) (* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau))
(/ 1 (PI))
(PI)
(* (/ (* x (* x (PI))) (* (sin (* x (* (PI) tau))) (sin (* x (PI))))) tau)
(* (* x (PI)) (* x (* (PI) tau)))
(* (PI) (* (PI) (* (PI) (PI))))
(+ (* (* tau tau) (* tau tau)) 1)
(* (* x x) (* (PI) (* (PI) (* (PI) (PI)))))
(* (PI) (* x (PI)))
(* (PI) tau)
(* (sin (* x (* (PI) tau))) (sin (* x (PI))))
Outputs
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(neg.f32 (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 tau (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32))))
(-.f32 (/.f32 #s(literal 0 binary32) (/.f32 (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 tau (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (neg.f32 (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (PI.f32)))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (neg.f32 (/.f32 (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 #s(literal -1 binary32) (*.f32 (neg.f32 (PI.f32)) (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (PI.f32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 tau (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))))))))
(/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (/.f32 (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (/.f32 #s(literal -1 binary32) (PI.f32)) (neg.f32 (neg.f32 (/.f32 (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (PI.f32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))))) tau)
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 (neg.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))))) (neg.f32 tau))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (neg.f32 (*.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) #s(literal 2 binary32))))
(/.f32 (/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) tau) (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (PI.f32)))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 (PI.f32)))
(/.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau)) x)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) x)
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(*.f32 (*.f32 (*.f32 x (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) tau)
(*.f32 tau (PI.f32))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) tau))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) tau))
(*.f32 (*.f32 tau (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (*.f32 tau #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 tau (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -1 binary32))
(pow.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -1 binary32))
(-.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)))
(-.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 2 binary32) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal -2 binary32))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 #s(literal 2 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) #s(literal 4 binary32))
(/.f32 (neg.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (neg.f32 (neg.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))) #s(literal 2 binary32))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1/2 binary32))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 1/2 binary32))

simplify448.0ms (2.8%)

Memory
12.2MiB live, 803.0MiB allocated
Algorithm
1×egg-herbie
Rules
14 092×accelerator-lowering-fma.f32
14 092×accelerator-lowering-fma.f64
8 696×*-lowering-*.f32
8 696×*-lowering-*.f64
3 124×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04446598
115106344
261396177
084325934
Stop Event
1×iter limit
1×node limit
Counts
384 → 384
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))))
(* 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))))
(* x (PI))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow x 2) (pow (PI) 5)))))))
(* x (+ (PI) (* (pow x 2) (+ (* -1/6 (pow (PI) 3)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(sin (* x (PI)))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
(* x (PI))
1
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* -1/6 (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (/ 1 (pow x 2))))
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
(pow x 2)
1
(+ 1 (* -1/6 (* (pow x 2) (* (PI) (+ (PI) (* (pow tau 2) (PI)))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (PI) (+ (PI) (* (pow tau 2) (PI))))) (* (pow x 2) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))))
(* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2))))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(* (pow x 4) (+ (* -1/6 (/ (* (PI) (+ (PI) (* (pow tau 2) (PI)))) (pow x 2))) (+ (* (pow (PI) 4) (+ (* 1/120 (+ 1 (pow tau 4))) (* 1/36 (pow tau 2)))) (/ 1 (pow x 4)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/36 (* (pow x 4) (pow (PI) 4))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))
(+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (+ (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))) (* 1/36 (* (pow x 4) (pow (PI) 4)))))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 4))) (+ (* 1/120 (* (pow x 4) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 4))) (+ (* 1/36 (/ (* (pow x 4) (pow (PI) 4)) (pow tau 2))) (/ 1 (pow tau 4))))))))
1/120
(+ 1/120 (* 1/36 (pow tau 2)))
(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))
(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* 1/120 (pow tau 4))
(* (pow tau 4) (+ 1/120 (* 1/36 (/ 1 (pow tau 2)))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow tau 4) (+ 1/120 (+ (/ 1/120 (pow tau 4)) (* 1/36 (/ 1 (pow tau 2))))))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
(* (pow x 4) (pow (PI) 4))
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(/ (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (PI)))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 3)))))) (/ 1 (PI))) x)
(/ (+ (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (PI))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 5)))) (* 1/120 (* (pow tau 4) (pow (PI) 3))))))) (/ 1 (PI))) x)
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (PI)))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* 1/120 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))))) (/ 1 (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (PI))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))) (* 1/120 (* (pow x 3) (pow (PI) 3))))))) (/ 1 (* x (PI))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* x (PI)))
(* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))
(* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* x (PI)))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))
(* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(sin (* tau (* x (PI))))
(* tau (* 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))))
(/ 1 (PI))
(+ (* -1 (* (pow x 2) (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))))) (/ 1 (PI)))
(+ (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (* 1/36 (* (pow tau 2) (pow (PI) 3)))))))) (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))))) (/ 1 (PI)))
(+ (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1 (/ (* (+ (* -1 (/ (* (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (* 1/36 (* (pow tau 2) (pow (PI) 3)))))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* -1 (/ (* (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))) (* tau (pow (PI) 2)))) (+ (* -1/720 (* (pow tau 2) (pow (PI) 5))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 5))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 5))) (* -1/5040 (pow (PI) 5))))))))) (+ (* -1 (/ (* (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* tau (pow (PI) 2)))) (+ (* 1/120 (* (pow tau 4) (pow (PI) 3))) (+ (* 1/120 (pow (PI) 3)) (* 1/36 (* (pow tau 2) (pow (PI) 3)))))))) (+ (* -1/6 (PI)) (* -1/6 (* (pow tau 2) (PI)))))) (/ 1 (PI)))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ x (sin (* x (PI))))
(+ (* 1/6 (/ (* (pow tau 2) (* (pow x 3) (pow (PI) 2))) (sin (* x (PI))))) (/ x (sin (* x (PI)))))
(+ (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 2)) (sin (* x (PI))))))) (/ x (sin (* x (PI)))))
(+ (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (/ (* (pow x 7) (pow (PI) 6)) (sin (* x (PI))))) (+ (* 1/720 (/ (* (pow x 7) (pow (PI) 6)) (sin (* x (PI))))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))))))))))) (+ (* -1/36 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI))))) (* 1/120 (/ (* (pow x 5) (pow (PI) 4)) (sin (* x (PI)))))))) (* -1/6 (/ (* (pow x 3) (pow (PI) 2)) (sin (* x (PI))))))) (/ x (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(/ (* tau (* (pow x 2) (PI))) (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
1
(+ 1 (pow tau 4))
(+ 1 (pow tau 4))
(+ 1 (pow tau 4))
(pow tau 4)
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(pow tau 4)
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* (pow x 2) (pow (PI) 4))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* x (pow (PI) 2))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (PI))
(* tau (* (pow x 2) (pow (PI) 2)))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (fma.f32 tau tau (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32))))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
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(/ (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))))
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(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 x #s(literal 5 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 tau tau))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
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(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
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1/120
#s(literal 1/120 binary32)
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1
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(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
1
#s(literal 1 binary32)
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(+ 1 (pow tau 4))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(pow tau 4)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow tau 4) (+ 1 (/ 1 (pow tau 4))))
(fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* (pow x 2) (pow (PI) 4))
(*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32))))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* x (pow (PI) 2))
(*.f32 x (*.f32 (PI.f32) (PI.f32)))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (PI))
(*.f32 tau (PI.f32))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau)) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))
(*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))) (*.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))
(*.f32 (*.f32 x x) (fma.f32 x (*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/36 binary32) (*.f32 tau (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (+.f32 tau (pow.f32 tau #s(literal 5 binary32))))) (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/5040 binary32) (+.f32 tau (pow.f32 tau #s(literal 7 binary32))) (*.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32)))))))) (*.f32 (*.f32 #s(literal -1/6 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 tau (*.f32 tau tau) tau)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (* x (* (PI) (sin (* x (PI))))))
(*.f32 (*.f32 x (*.f32 tau (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))
(* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))
(*.f32 tau (fma.f32 (*.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 x (*.f32 x x)) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 x x))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau tau) (fma.f32 (*.f32 (pow.f32 x #s(literal 7 binary32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 7 binary32)))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal 1/120 binary32) (pow.f32 x #s(literal 5 binary32))))))) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))

eval316.0ms (2%)

Memory
22.4MiB live, 600.0MiB allocated
Compiler

Compiled 120 865 to 7 129 computations (94.1% saved)

prune643.0ms (4%)

Memory
20.3MiB live, 931.6MiB allocated
Pruning

105 alts after pruning (101 fresh and 4 done)

PrunedKeptTotal
New2 855432 898
Fresh195877
Picked505
Done044
Total2 8791052 984
Accuracy
99.6%
Counts
2 984 → 105
Alt Table
Click to see full alt table
StatusAccuracyProgram
80.2%
(fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal 1 binary32))))
80.1%
(fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))))
79.9%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
80.2%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
76.9%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
76.9%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
79.9%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
76.8%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
75.6%
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
75.5%
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
62.6%
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
62.6%
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
62.6%
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
80.2%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
62.6%
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
62.6%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
75.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
67.2%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
67.2%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
62.6%
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
62.6%
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
75.2%
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
74.5%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
96.2%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
96.8%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) tau))
81.5%
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) tau))
68.6%
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
65.8%
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))))
67.2%
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))))
62.6%
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
96.9%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
97.3%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
67.3%
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal 2 binary32)))
82.1%
(/.f32 (*.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
61.2%
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.7%
(/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
96.5%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
96.7%
(/.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)))))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
97.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
96.0%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x) (PI.f32)))
96.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x)))
67.3%
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
62.3%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
96.8%
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (PI.f32))))
62.6%
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
75.6%
(-.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))))
62.6%
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
80.6%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
80.3%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
96.9%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.9%
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
81.6%
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
96.6%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
68.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
82.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
96.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
✓97.4%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))))
82.1%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))))
68.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.1%
(*.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))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
81.4%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))
68.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))))
97.0%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
✓96.7%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
80.1%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))))
67.3%
(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
48.3%
(*.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
66.2%
(*.f32 (-.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) tau))) (cos.f32 (neg.f32 (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.1%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.3%
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
67.2%
(*.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
32.0%
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
82.4%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
✓97.5%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
68.9%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
4.5%
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 tau tau))))
13.4%
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
97.2%
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
81.6%
(*.f32 (*.f32 x (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) x) x (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
74.9%
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
96.8%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
96.7%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
89.8%
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.1%
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
✓61.4%
#s(literal 1 binary32)
Compiler

Compiled 7 757 to 2 391 computations (69.2% saved)

regimes300.0ms (1.9%)

Memory
-26.7MiB live, 244.5MiB allocated
Counts
173 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
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(*.f32 (/.f32 #s(literal 1/2 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 1/2 binary32) (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32))) x)
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal 2 binary32))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))))
(/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (*.f32 (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (PI.f32))))
(/.f32 #s(literal -1 binary32) (*.f32 (/.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (PI.f32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 tau)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (PI.f32)))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) x) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(*.f32 (/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (/.f32 (*.f32 (PI.f32) tau) (/.f32 #s(literal 1 binary32) x))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 x (PI.f32))))) tau))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (*.f32 (+.f32 tau #s(literal 1 binary32)) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (+.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 #s(literal 1 binary32) x)))
(/.f32 (*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))) #s(literal 2 binary32))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau)) (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal 2 binary32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (*.f32 (*.f32 x (PI.f32)) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (*.f32 tau (-.f32 (PI.f32) (/.f32 (PI.f32) tau))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32))))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (*.f32 tau (+.f32 (PI.f32) (/.f32 (PI.f32) tau)))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (*.f32 tau (sqrt.f32 (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (sqrt.f32 (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) tau))) (sqrt.f32 (PI.f32))))
(*.f32 #s(literal -1 binary32) (/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32))) (sin.f32 (*.f32 (*.f32 x (fma.f32 (PI.f32) (-.f32 tau #s(literal 1 binary32)) (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (fma.f32 (sqrt.f32 (PI.f32)) (neg.f32 (sqrt.f32 (PI.f32))) (*.f32 (PI.f32) tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (sqrt.f32 (PI.f32))) (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (*.f32 tau (sqrt.f32 (PI.f32)))))
(*.f32 (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (sqrt.f32 (PI.f32))))) (/.f32 #s(literal 1 binary32) (sqrt.f32 (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(-.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))) (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))))
(-.f32 (/.f32 (*.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 1/2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (/.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 1/2 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (/.f32 #s(literal 1 binary32) (/.f32 (fma.f32 (PI.f32) tau (PI.f32)) (*.f32 (fma.f32 (PI.f32) tau (PI.f32)) (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))) (*.f32 x (PI.f32))))
(*.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (*.f32 tau tau)))) (fma.f32 (PI.f32) (PI.f32) (-.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 tau tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(/.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) tau))
(/.f32 (*.f32 (sin.f32 (exp.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (log.f32 (*.f32 x (*.f32 (PI.f32) tau))))))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (*.f32 tau (cbrt.f32 (PI.f32))) x))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)) (+.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(/.f32 (-.f32 (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32)))))))) (+.f32 #s(literal 1/2 binary32) (*.f32 #s(literal 1/2 binary32) (cos.f32 (*.f32 #s(literal 2 binary32) (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))) (*.f32 (*.f32 x (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 (PI.f32) tau) #s(literal 2 binary32)))) (+.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) (pow.f32 (PI.f32) #s(literal 1/6 binary32))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (-.f32 (-.f32 (*.f32 (cos.f32 (*.f32 x (*.f32 (PI.f32) tau))) (cos.f32 (neg.f32 (*.f32 x (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (neg.f32 (*.f32 x (PI.f32)))))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
Outputs
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

102.0ms
(*.f32 x (PI.f32))
73.0ms
x
66.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
53.0ms
tau
Results
AccuracySegmentsBranch
97.5%1x
97.5%1tau
97.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes185.0ms (1.2%)

Memory
0.8MiB live, 155.0MiB allocated
Counts
116 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
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(*.f32 (*.f32 x (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) x) x (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) tau))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) x) (PI.f32)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (*.f32 x tau) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.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)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (neg.f32 (PI.f32)))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (neg.f32 (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 x (neg.f32 (PI.f32))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (PI.f32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) x)
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32))) (neg.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (*.f32 (*.f32 x (PI.f32)) (neg.f32 (*.f32 x (PI.f32)))))
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:

58.0ms
(*.f32 x (PI.f32))
55.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
35.0ms
tau
32.0ms
x
Results
AccuracySegmentsBranch
97.5%1x
97.5%1tau
97.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes162.0ms (1%)

Memory
22.8MiB live, 133.3MiB allocated
Counts
104 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
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(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) tau) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

4 calls:

56.0ms
tau
45.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
31.0ms
x
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.4%1x
97.4%1tau
97.4%1(*.f32 x (PI.f32))
97.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes118.0ms (0.7%)

Memory
-15.8MiB live, 138.8MiB allocated
Counts
86 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
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(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
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(*.f32 (/.f32 (*.f32 x (PI.f32)) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))
(/.f32 (*.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (*.f32 x (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) x) x (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) tau))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 tau (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) x)))
Outputs
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
Calls

4 calls:

33.0ms
x
30.0ms
(*.f32 x (PI.f32))
27.0ms
(*.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))))
24.0ms
tau
Results
AccuracySegmentsBranch
97.3%1x
97.3%1tau
97.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.3%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes127.0ms (0.8%)

Memory
-4.6MiB live, 113.1MiB allocated
Counts
75 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (PI.f32)) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (*.f32 x (*.f32 tau (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (PI.f32))))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))
(/.f32 (*.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))))) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x)))) (*.f32 x (*.f32 #s(literal -1/6 binary32) (PI.f32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (-.f32 (fma.f32 #s(literal -1/2 binary32) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (*.f32 x x))) #s(literal 1 binary32)) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
(*.f32 (*.f32 x (fma.f32 (*.f32 (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) x) x (/.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (/.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (PI.f32))))) tau))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 x x) (*.f32 x x))) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))) (/.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32))))) (*.f32 tau tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau (*.f32 tau (*.f32 x (*.f32 x x)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 (PI.f32) #s(literal -1/6 binary32)))) (/.f32 #s(literal 1 binary32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) x) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Calls

4 calls:

48.0ms
(*.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))))
30.0ms
tau
26.0ms
x
19.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
82.4%1x
82.4%1tau
82.4%1(*.f32 x (PI.f32))
82.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes73.0ms (0.5%)

Memory
27.6MiB live, 65.5MiB allocated
Counts
54 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 (PI.f32) (log.f32 (E.f32))) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))
(fma.f32 (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) #s(literal -1/6 binary32)) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal 1 binary32))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (*.f32 x (PI.f32)))
(*.f32 (-.f32 #s(literal 1 binary32) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32))))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
Calls

4 calls:

27.0ms
x
15.0ms
tau
14.0ms
(*.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))))
14.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.2%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))))
80.2%1x
80.2%1(*.f32 x (PI.f32))
80.2%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes118.0ms (0.7%)

Memory
-16.7MiB live, 66.4MiB allocated
Counts
44 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(-.f32 (/.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))) (/.f32 #s(literal 1 binary32) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (+.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (*.f32 (*.f32 x (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal 1/120 binary32) #s(literal 1/120 binary32)))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
Calls

4 calls:

51.0ms
x
40.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
13.0ms
tau
12.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
80.2%1x
80.2%1tau
80.2%1(*.f32 x (PI.f32))
80.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes89.0ms (0.6%)

Memory
-7.9MiB live, 65.8MiB allocated
Counts
37 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
Calls

4 calls:

52.0ms
x
14.0ms
(*.f32 x (PI.f32))
11.0ms
tau
11.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
80.2%1x
80.2%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))))
80.2%1(*.f32 x (PI.f32))
80.2%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes90.0ms (0.6%)

Memory
29.4MiB live, 73.4MiB allocated
Counts
35 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

59.0ms
tau
10.0ms
(*.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))))
10.0ms
(*.f32 x (PI.f32))
10.0ms
x
Results
AccuracySegmentsBranch
80.2%1x
80.2%1(*.f32 x (PI.f32))
80.2%1tau
80.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes140.0ms (0.9%)

Memory
-11.5MiB live, 64.7MiB allocated
Counts
34 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
Calls

4 calls:

59.0ms
(*.f32 x (PI.f32))
10.0ms
tau
10.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
x
Results
AccuracySegmentsBranch
80.2%1x
80.2%1(*.f32 x (PI.f32))
80.2%1tau
80.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes86.0ms (0.5%)

Memory
16.3MiB live, 95.4MiB allocated
Counts
33 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) #s(literal -1/6 binary32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (fma.f32 tau tau #s(literal 1 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
Calls

4 calls:

54.0ms
(*.f32 x (PI.f32))
12.0ms
tau
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
x
Results
AccuracySegmentsBranch
80.2%1x
80.2%1tau
80.2%1(*.f32 x (PI.f32))
80.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes40.0ms (0.2%)

Memory
-19.1MiB live, 96.0MiB allocated
Counts
30 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Calls

4 calls:

10.0ms
tau
10.0ms
(*.f32 x (PI.f32))
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
9.0ms
x
Results
AccuracySegmentsBranch
76.9%1tau
76.9%1x
76.9%1(*.f32 x (PI.f32))
76.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes38.0ms (0.2%)

Memory
21.5MiB live, 97.4MiB allocated
Counts
28 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Calls

4 calls:

11.0ms
tau
9.0ms
(*.f32 x (PI.f32))
8.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
x
Results
AccuracySegmentsBranch
76.9%1x
76.9%1(*.f32 x (PI.f32))
76.9%1tau
76.9%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes34.0ms (0.2%)

Memory
7.9MiB live, 85.9MiB allocated
Counts
27 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32))) (-.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32))))))
(*.f32 (*.f32 tau tau) (fma.f32 #s(literal -1/6 binary32) (fma.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau))) (/.f32 #s(literal 1 binary32) (*.f32 tau tau))))
Outputs
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Calls

4 calls:

9.0ms
tau
9.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
8.0ms
x
8.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
75.6%1x
75.6%1tau
75.6%1(*.f32 x (PI.f32))
75.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes60.0ms (0.4%)

Memory
-40.4MiB live, 47.3MiB allocated
Counts
24 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (PI.f32) (PI.f32))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 tau (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) x)) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 tau (*.f32 tau (PI.f32)) (PI.f32)) #s(literal 1/6 binary32)) (/.f32 #s(literal 1 binary32) (PI.f32))))
(/.f32 (*.f32 #s(literal -1/4 binary32) (*.f32 (fma.f32 (PI.f32) (+.f32 tau #s(literal -1 binary32)) (fma.f32 (PI.f32) tau (PI.f32))) (-.f32 (fma.f32 (PI.f32) tau (neg.f32 (PI.f32))) (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32))))
(/.f32 (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))) (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32)))))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/36 binary32) #s(literal -1 binary32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1 binary32)))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Calls

4 calls:

29.0ms
x
16.0ms
tau
7.0ms
(*.f32 x (PI.f32))
7.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
75.5%1x
75.5%1(*.f32 x (PI.f32))
75.5%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))))
75.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes18.0ms (0.1%)

Memory
27.1MiB live, 27.1MiB allocated
Counts
13 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
Calls

4 calls:

5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
75.5%1tau
75.5%1x
75.5%1(*.f32 x (PI.f32))
75.5%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes38.0ms (0.2%)

Memory
-7.4MiB live, 31.4MiB allocated
Counts
12 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
Calls

4 calls:

25.0ms
tau
4.0ms
(*.f32 x (PI.f32))
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
x
Results
AccuracySegmentsBranch
67.2%1x
67.2%1(*.f32 x (PI.f32))
67.2%1tau
67.2%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes17.0ms (0.1%)

Memory
-1.4MiB live, 36.8MiB allocated
Counts
11 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

5.0ms
tau
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
(*.f32 x (PI.f32))
4.0ms
x
Results
AccuracySegmentsBranch
67.2%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))))
67.2%1x
67.2%1tau
67.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes17.0ms (0.1%)

Memory
-9.4MiB live, 30.2MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
Outputs
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
Calls

4 calls:

6.0ms
x
4.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
4.0ms
tau
3.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
62.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
62.6%1x
62.6%1(*.f32 x (PI.f32))
62.6%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes11.0ms (0.1%)

Memory
20.5MiB live, 20.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
Calls

4 calls:

3.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
3.0ms
tau
3.0ms
(*.f32 x (PI.f32))
3.0ms
x
Results
AccuracySegmentsBranch
62.6%1tau
62.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
62.6%1x
62.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes10.0ms (0.1%)

Memory
-19.1MiB live, 19.9MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
Outputs
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
Calls

4 calls:

3.0ms
tau
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
x
2.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
62.6%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
62.6%1tau
62.6%1x
62.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes6.0ms (0%)

Memory
17.1MiB live, 17.1MiB allocated
Accuracy

Total -18.6b remaining (-150.3%)

Threshold costs -18.6b (-150.3%)

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

4 calls:

2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
1.0ms
tau
1.0ms
x
Results
AccuracySegmentsBranch
61.4%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
61.4%1tau
61.4%1x
61.4%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify12.0ms (0.1%)

Memory
-15.1MiB live, 23.6MiB allocated
Algorithm
1×egg-herbie
Rules
74×*-commutative_binary32
2×1-exp_binary64
2×+-commutative_binary32
2×1-exp_binary32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
086563
1127563
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (PI.f32) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 #s(literal 1 binary32) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) #s(literal 1/120 binary32) (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 tau tau) (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
#s(literal 1 binary32)
Outputs
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.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))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 tau (*.f32 x (PI.f32)))) (*.f32 tau (*.f32 x (PI.f32)))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (*.f32 (fma.f32 (fma.f32 (*.f32 tau tau) (*.f32 tau tau) #s(literal 1 binary32)) #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
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(fma.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 x (PI.f32)))) #s(literal -1/6 binary32) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 x x)) #s(literal 1 binary32))
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#s(literal 1 binary32)

soundness2.1s (13.1%)

Memory
-77.4MiB live, 1 759.1MiB allocated
Rules
24 092×accelerator-lowering-fma.f32
24 092×accelerator-lowering-fma.f64
16 966×accelerator-lowering-fma.f32
16 966×accelerator-lowering-fma.f64
15 574×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
06128756
120128480
273248480
080828056
01055
15555
247553
3647553
0810853
049277
1289243
22517239
08533231
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
062348
1383324
23478322
09325302
03355742
111045606
243065444
082705272
04446598
115106344
261396177
084325934
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 1 244 to 483 computations (61.2% saved)

preprocess106.0ms (0.7%)

Memory
16.0MiB live, 285.6MiB allocated
Remove

(abs tau)

(abs x)

Compiler

Compiled 2 376 to 816 computations (65.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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