Lanczos kernel

Time bar (total: 15.6s)

analyze23.0ms (0.1%)

Memory
-19.6MiB live, 59.9MiB 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)

sample1.5s (9.9%)

Memory
60.7MiB live, 2 547.2MiB allocated
Samples
1.1s8 256×0valid
Precisions
Click to see histograms. Total time spent on operations: 900.0ms
ival-sin: 284.0ms (31.6% of total)
ival-mult: 196.0ms (21.8% of total)
ival-div: 134.0ms (14.9% of total)
const: 116.0ms (12.9% of total)
ival-<=: 94.0ms (10.4% of total)
ival-pi: 43.0ms (4.8% of total)
ival-and: 21.0ms (2.3% of total)
exact: 8.0ms (0.9% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess87.0ms (0.6%)

Memory
14.5MiB live, 127.3MiB allocated
Algorithm
1×egg-herbie
Rules
1 192×neg-sub0
1 146×neg-mul-1
868×distribute-frac-neg
794×associate-*l*
772×sub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
028123
188123
2415107
32253107
44724107
56828107
67824107
01021
01821
13121
28821
329621
469921
5108221
6111521
7111521
0111521
Stop Event
1×iter limit
1×saturated
1×iter limit
1×node limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
Symmetry

(abs tau)

(abs x)

explain183.0ms (1.2%)

Memory
-36.3MiB live, 301.5MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
10-1(0.9926653504371643 3.2855799198150635)(sin.f32 (*.f32 x (PI.f32)))
10-1(0.2725185453891754 3.6428728103637695)(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
00-0-(PI.f32)
00-0-(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
00-0-(*.f32 (*.f32 x (PI.f32)) tau)
00-0-(*.f32 x (PI.f32))
00-0-(*.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 -
+04
-0252
Precision
0/0
Recall
0.0
Confusion?
Predicted +Predicted MaybePredicted -
+022
-00252
Precision?
1.0
Recall?
0.5
Freqs
test
numberfreq
0256
Total Confusion?
Predicted +Predicted MaybePredicted -
+010
-000
Precision?
1.0
Recall?
1.0
Samples
81.0ms512×0valid
Compiler

Compiled 174 to 44 computations (74.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 65.0ms
ival-sin: 46.0ms (70.2% of total)
ival-mult: 10.0ms (15.3% of total)
ival-div: 6.0ms (9.2% of total)
ival-pi: 2.0ms (3.1% 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
▶98.1%
(*.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 23 to 10 computations (56.5% saved)

simplify28.0ms (0.2%)

Memory
15.6MiB live, 54.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01062
01862
13162
28862
329662
469962
5108262
6111562
7111562
0111562
Stop Event
1×iter limit
1×saturated
1×iter limit
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.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))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.f32))
x
(PI.f32)
tau
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(sin.f32 (*.f32 x (PI.f32)))

localize87.0ms (0.6%)

Memory
-25.4MiB live, 53.0MiB allocated
Localize:

Found 4 expressions of interest:

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

Compiled 64 to 12 computations (81.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 15.0ms
ival-sin: 6.0ms (39.6% of total)
ival-mult: 5.0ms (33% of total)
ival-div: 3.0ms (19.8% of total)
ival-pi: 1.0ms (6.6% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series29.0ms (0.2%)

Memory
13.6MiB live, 48.7MiB allocated
Counts
6 → 120
Calls
Call 1
Inputs
#<alt (*.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))))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (* (pow x 2) (pow (PI) 6)))) (* 1/120 (* (pow tau 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4)))))))>
#<alt (+ 1 (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (pow (PI) 6)))) (* 1/120 (* (pow x 4) (pow (PI) 4))))))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (/ (sin (* tau (* x (PI)))) (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* -1/5040 (* (pow x 2) (pow (PI) 6))) (* 1/120 (pow (PI) 4)))))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
#<alt (* x (PI))>
Calls

30 calls:

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

rewrite298.0ms (1.9%)

Memory
6.6MiB live, 443.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 760×lower-*.f64
4 754×lower-*.f32
3 316×lower-/.f64
3 312×lower-/.f32
1 604×frac-times
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01055
01855
16355
248353
3648553
0811453
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
6 → 670
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(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 x (PI.f32))
Outputs
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))))
(neg.f32 (*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))))
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))))
(neg.f32 (/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
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(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (*.f32 x (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)))) (PI.f32)) (neg.f32 x))
(/.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 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32)) (*.f32 x (PI.f32)))
(/.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) 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) (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.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))) (cbrt.f32 (PI.f32))) (/.f32 (/.f32 #s(literal 1 binary32) x) (pow.f32 (PI.f32) #s(literal 2/3 binary32))))
(*.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 (/.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 (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 (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 x)) (PI.f32))
(*.f32 (neg.f32 (neg.f32 (PI.f32))) x)
(*.f32 (*.f32 #s(literal 1 binary32) (*.f32 x (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (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))))

simplify613.0ms (3.9%)

Memory
10.9MiB live, 927.1MiB allocated
Algorithm
1×egg-herbie
Rules
16 966×lower-fma.f64
16 966×lower-fma.f32
6 828×lower-+.f64
6 828×lower-+.f32
6 246×lower-*.f64
Iterations

Useful iterations: 0 (0.0ms)

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

eval94.0ms (0.6%)

Memory
-21.3MiB live, 262.5MiB allocated
Compiler

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

prune148.0ms (1%)

Memory
14.2MiB live, 483.1MiB allocated
Pruning

25 alts after pruning (25 fresh and 0 done)

PrunedKeptTotal
New988251 013
Fresh000
Picked101
Done000
Total989251 014
Accuracy
99.9%
Counts
1 014 → 25
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.5%
(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))
81.9%
(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))
▶97.2%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
97.3%
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
97.2%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
▶97.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
82.4%
(*.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))))
95.1%
(*.f32 (/.f32 (sin.f32 (*.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 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
95.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.5%
(*.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)))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (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)))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
▶97.4%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
97.4%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
▶65.6%
#s(literal 1 binary32)
Compiler

Compiled 1 208 to 670 computations (44.5% saved)

simplify281.0ms (1.8%)

Memory
7.4MiB live, 634.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
✓cost-diff192
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
✓cost-diff0
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓cost-diff0
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(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))))
✓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 #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))
✓cost-diff320
(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)))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff128
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
✓cost-diff192
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
Rules
7 550×lower-fma.f64
7 540×lower-fma.f32
6 638×lower-*.f64
6 606×lower-*.f32
2 994×lower-+.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
039427
076429
1177411
2619401
33451401
08837401
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(neg.f32 x)
#s(literal 1 binary32)
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 x 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))))
(*.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))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(PI.f32)
#s(literal 4 binary32)
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
#s(literal 1/120 binary32)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 tau tau)
tau
(fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 (PI.f32) tau)
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(*.f32 (*.f32 x (PI.f32)) (/.f32 (*.f32 (PI.f32) (*.f32 x tau)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (neg.f32 (PI.f32)) (/.f32 (*.f32 x tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(neg.f32 x)
#s(literal 1 binary32)
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(*.f32 x 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))))
(fma.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (*.f32 (PI.f32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(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)))
(fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
#s(literal 1/120 binary32)
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.f32 tau (*.f32 tau (*.f32 tau tau)))
(*.f32 tau tau)
tau
(fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))
(fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
#s(literal 1/36 binary32)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) #s(literal -1/6 binary32))))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
x
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
tau
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) (*.f32 x x))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(PI.f32)
(*.f32 x tau)
x
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(*.f32 x (*.f32 x (PI.f32)))
(*.f32 (PI.f32) (*.f32 x x))
(*.f32 (PI.f32) tau)

localize177.0ms (1.1%)

Memory
18.3MiB live, 381.0MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
✓accuracy98.9%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.6%
(*.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))))
✓accuracy98.4%
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy95.0%
(pow.f32 (PI.f32) #s(literal 4 binary32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
✓accuracy98.8%
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
Samples
103.0ms256×0valid
Compiler

Compiled 445 to 46 computations (89.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 84.0ms
ival-mult: 41.0ms (48.8% of total)
const: 17.0ms (20.2% of total)
ival-div: 8.0ms (9.5% of total)
ival-sin: 7.0ms (8.3% of total)
ival-add: 5.0ms (5.9% of total)
ival-pow: 2.0ms (2.4% of total)
ival-neg: 2.0ms (2.4% 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)

series46.0ms (0.3%)

Memory
-17.0MiB live, 98.0MiB allocated
Counts
22 → 408
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))>
#<alt (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (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)))>
#<alt (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))>
#<alt (*.f32 x x)>
#<alt (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))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))>
#<alt (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))>
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (pow.f32 (PI.f32) #s(literal 4 binary32))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (*.f32 (*.f32 tau tau) (*.f32 tau tau))>
#<alt (*.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))))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* x (PI))>
#<alt (* x (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))) (* -1 (PI))))>
#<alt (* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))>
#<alt (* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (* x (PI))>
#<alt (- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* -1 (* x (PI))))>
#<alt (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))>
#<alt (- (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* 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 1/120>
#<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>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))>
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#<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 (* (pow x 2) (pow (PI) 2)))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6)))))))))))>
#<alt (* (pow x 2) (+ (* tau (pow (PI) 2)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (+ (* -1/6 (* (pow tau 3) (pow (PI) 4))) (* (pow x 2) (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (+ (* 1/36 (* (pow tau 3) (pow (PI) 6))) (* (pow x 2) (+ (* -1/720 (* (pow tau 3) (pow (PI) 8))) (+ (* -1/720 (* (pow tau 5) (pow (PI) 8))) (+ (* -1/5040 (* tau (pow (PI) 8))) (* -1/5040 (* (pow tau 7) (pow (PI) 8))))))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (* (PI) (sin (* x (PI))))))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))) (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))))))))>
#<alt (* tau (+ (* x (* (PI) (sin (* x (PI))))) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI))))))) (* 1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))))))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* (sin (* tau (* x (PI)))) (sin (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* x (+ (* -1/6 (* (pow tau 3) (* (pow x 2) (pow (PI) 3)))) (* tau (PI))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* 1/120 (* (pow tau 5) (* (pow x 2) (pow (PI) 5))))))))>
#<alt (* x (+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* (pow tau 3) (pow (PI) 3))) (* (pow x 2) (+ (* -1/5040 (* (pow tau 7) (* (pow x 2) (pow (PI) 7)))) (* 1/120 (* (pow tau 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (+ (* -1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* 1/120 (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))))>
#<alt (* tau (+ (* x (PI)) (* (pow tau 2) (+ (* -1/6 (* (pow x 3) (pow (PI) 3))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 7) (pow (PI) 7)))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (sin (* tau (* x (PI))))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (PI)>
#<alt (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))>
#<alt (+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))>
#<alt (+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (pow tau 4)>
#<alt (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))))))>
Calls

102 calls:

TimeVariablePointExpression
8.0ms
tau
@inf
(* (PI) (* (PI) (* x tau)))
3.0ms
tau
@-inf
(neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x)))
1.0ms
x
@0
(/ (* (sin (* (PI) (* x tau))) (sin (* x (PI)))) (* x (* x (PI))))
1.0ms
tau
@0
(+ (* (* x x) (+ (* (* x x) (* (pow (PI) 4) (+ (* 1/120 (* (* tau tau) (* tau tau))) (+ (* (* tau tau) 1/36) 1/120)))) (* (* (PI) (PI)) (+ (* -1/6 (* tau tau)) -1/6)))) 1)
1.0ms
x
@-inf
(neg (* (/ (* (PI) (* (PI) (* x tau))) (sin (* (PI) (* x tau)))) (neg x)))

rewrite457.0ms (2.9%)

Memory
-2.0MiB live, 705.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 270×lower-fma.f64
5 260×lower-fma.f32
4 692×lower-*.f64
4 660×lower-*.f32
3 386×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039293
076285
1304267
22465255
08365253
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
22 → 831
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 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))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 tau tau) (*.f32 tau tau))
(*.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))))
Outputs
(neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (neg.f32 x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)) #s(literal -1 binary32))
(-.f32 #s(literal 0 binary32) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (neg.f32 x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x))) (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (PI.f32) (neg.f32 x)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (PI.f32)))) #s(literal 1 binary32))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x)))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.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 (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) x)
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal -1 binary32)) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x)))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 x))
(/.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 x))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 x)))
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(/.f32 (fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) (fma.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (-.f32 (*.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
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(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))))
(*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32)))

simplify1.2s (7.7%)

Memory
-1.7MiB live, 475.7MiB allocated
Algorithm
1×egg-herbie
Rules
14 628×lower-fma.f64
14 628×lower-fma.f32
9 154×lower-*.f64
9 154×lower-*.f32
3 374×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
05027462
117047182
264917170
081176857
Stop Event
1×iter limit
1×node limit
Counts
408 → 408
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* x (PI))
(* x (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))) (* -1 (PI))))
(* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (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))) (sin (* tau (* x (PI)))))
(* x (PI))
(- (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* -1 (* x (PI))))
(- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* x (PI))))
(- (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 7) (pow (PI) 7))) (+ (* 1/720 (* (pow x 7) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 5) (pow (PI) 5))) (* 1/120 (* (pow x 5) (pow (PI) 5)))))) (* -1/6 (* (pow x 3) (pow (PI) 3))))) (* -1 (* 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))) (sin (* tau (* 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))
1/120
(+ 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))
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1
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1
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (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))))
(* 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)))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(pow tau 4)
(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))))))
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 (*.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 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (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) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.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 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) 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) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (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))))
(+ (* (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 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 tau (*.f32 tau (pow.f32 x #s(literal 5 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/5040 binary32)))) (*.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)))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (- (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))) (* -1 (PI))))
(*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32)))
(* x (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) #s(literal 7/360 binary32) (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (PI.f32)))
(* x (- (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))) (* -1 (PI))))
(*.f32 x (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (neg.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 #s(literal -7/360 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/6 binary32)) (*.f32 (*.f32 (pow.f32 tau #s(literal 6 binary32)) (pow.f32 (PI.f32) #s(literal 7 binary32))) #s(literal 1/840 binary32))) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) #s(literal -7/360 binary32))))) (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (PI.f32)))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
(/ (* tau (* (pow x 2) (pow (PI) 2))) (sin (* tau (* x (PI)))))
(*.f32 (*.f32 tau (*.f32 x x)) (/.f32 (*.f32 (PI.f32) (PI.f32)) (sin.f32 (*.f32 x (*.f32 tau (PI.f32))))))
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(fma.f32 tau (*.f32 tau (*.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))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 x x) (+.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (/.f32 (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)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* (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))))))
(fma.f32 tau (*.f32 tau (*.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))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 x x) (+.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (/.f32 (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)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 x x) (*.f32 x x)))
(* (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))))
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(* (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))))))
(fma.f32 tau (*.f32 tau (*.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))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 x x) (+.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (/.f32 (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)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(* (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))))))
(fma.f32 tau (*.f32 tau (*.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))))) (fma.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 x x) (+.f32 (/.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau tau)) (/.f32 (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)))) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))) #s(literal 1 binary32)))
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(pow x 2)
(*.f32 x x)
(* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2)))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))
(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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))
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(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
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(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(*.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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(*.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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x))))
(* (pow x 2) (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))))
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(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
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(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(*.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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x))))
(* (pow x 2) (+ (* (pow (PI) 4) (+ 1/120 (+ (* 1/120 (pow tau 4)) (* 1/36 (pow tau 2))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))
(*.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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x))))
(+ (* -1/6 (pow (PI) 2)) (* 1/120 (* (pow x 2) (pow (PI) 4))))
(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))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (* 1/36 (* (pow x 2) (pow (PI) 4)))))))
(fma.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 tau tau) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (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)))))
(+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* (pow tau 2) (+ (* -1/6 (pow (PI) 2)) (+ (* 1/120 (* (pow tau 2) (* (pow x 2) (pow (PI) 4)))) (* 1/36 (* (pow x 2) (pow (PI) 4))))))))
(fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 x (*.f32 x (pow.f32 (PI.f32) #s(literal 4 binary32)))) (fma.f32 (*.f32 tau tau) #s(literal 1/120 binary32) #s(literal 1/36 binary32)) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (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)))))
(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4))))
(*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))))
(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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(* (pow tau 4) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 2))) (+ (* -1/6 (/ (pow (PI) 2) (pow tau 4))) (+ (* 1/120 (* (pow x 2) (pow (PI) 4))) (+ (* 1/120 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 4))) (* 1/36 (/ (* (pow x 2) (pow (PI) 4)) (pow tau 2))))))))
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1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
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(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) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/720 binary32) (*.f32 tau tau) (*.f32 #s(literal -1/720 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal -1/5040 binary32) (pow.f32 tau #s(literal 6 binary32)) #s(literal -1/5040 binary32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.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 #s(literal -1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 tau tau) 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) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (sin.f32 (*.f32 x (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))))
(+ (* (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 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1/120 binary32)) (*.f32 (*.f32 tau (*.f32 tau (pow.f32 x #s(literal 5 binary32)))) (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (pow.f32 (PI.f32) #s(literal 5 binary32))) #s(literal -1/5040 binary32)))) (*.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)))))
(* tau (PI))
(*.f32 tau (PI.f32))
(+ (* tau (PI)) (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 3))) (* -1/6 (* (pow tau 3) (pow (PI) 3))))))
(fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.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))))))))))
(fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) tau (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 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)))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 5 binary32))) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 7 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) tau (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 (pow.f32 (PI.f32) #s(literal 5 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) tau (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))))) (*.f32 tau (PI.f32)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
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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)))))
(/ (* (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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(/ (* (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)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* tau (sin (* x (PI)))) x)
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x))
(* tau (+ (* -1/6 (* (pow tau 2) (* x (* (pow (PI) 2) (sin (* x (PI))))))) (/ (sin (* x (PI))) x)))
(*.f32 tau (fma.f32 (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) 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)))
(*.f32 tau (fma.f32 tau (*.f32 tau (fma.f32 #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 x x))) (*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 tau tau))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) 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)))
(*.f32 tau (fma.f32 (*.f32 tau tau) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 x (*.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 (*.f32 #s(literal -1/5040 binary32) (*.f32 tau (*.f32 tau (pow.f32 x #s(literal 5 binary32))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (sin.f32 (*.f32 x (PI.f32)))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) x)))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (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)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (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)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* (pow x 2) (PI)))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 x x) (*.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)))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (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 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 (*.f32 x x) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 #s(literal 1/120 binary32) tau (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32)))) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/36 binary32)))))) (*.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 tau (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) #s(literal 1/120 binary32)) (fma.f32 (*.f32 x x) (fma.f32 #s(literal -1/5040 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (+.f32 tau (pow.f32 tau #s(literal 7 binary32)))) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 (*.f32 #s(literal -1/720 binary32) (*.f32 tau tau)) tau (*.f32 #s(literal -1/720 binary32) (pow.f32 tau #s(literal 5 binary32)))))) (*.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) tau (*.f32 #s(literal 1/120 binary32) (pow.f32 tau #s(literal 5 binary32))))))) (*.f32 #s(literal -1/6 binary32) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (+.f32 tau (*.f32 tau (*.f32 tau tau))))))) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(* (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))))
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(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 #s(literal 1/120 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 tau tau))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 #s(literal 1/120 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 tau tau))))
(* 1/120 (* (pow tau 4) (pow (PI) 4)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))))
(* (pow tau 4) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2)))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)) (*.f32 #s(literal 1/120 binary32) (pow.f32 (PI.f32) #s(literal 4 binary32)))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 #s(literal 1/120 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 tau tau))))
(* (pow tau 4) (+ (* 1/120 (/ (pow (PI) 4) (pow tau 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (/ (pow (PI) 4) (pow tau 2))))))
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 #s(literal 1/120 binary32) (+.f32 (/.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 tau tau) (*.f32 tau tau))) (pow.f32 (PI.f32) #s(literal 4 binary32))) (/.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) #s(literal 1/36 binary32)) (*.f32 tau tau))))

eval252.0ms (1.6%)

Memory
19.9MiB live, 203.2MiB allocated
Compiler

Compiled 59 945 to 3 356 computations (94.4% saved)

prune449.0ms (2.9%)

Memory
-30.3MiB live, 337.2MiB allocated
Pruning

55 alts after pruning (54 fresh and 1 done)

PrunedKeptTotal
New1 583401 623
Fresh61420
Picked415
Done000
Total1 593551 648
Accuracy
99.9%
Counts
1 648 → 55
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶87.4%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
87.5%
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
87.5%
(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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.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))
86.8%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
87.5%
(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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
▶81.9%
(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))
81.4%
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
65.4%
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
87.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.9%
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
65.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(/.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)))))
66.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x)) (*.f32 (PI.f32) tau))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
88.2%
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
▶81.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
▶97.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
81.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32))))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
87.2%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
87.4%
(+.f32 (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
87.5%
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
13.5%
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.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))))
95.1%
(*.f32 (/.f32 (sin.f32 (*.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 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
88.5%
(*.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)))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (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)))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.3%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
▶97.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
65.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (-.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)))))))
65.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
96.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
87.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
72.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
13.3%
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 x x) (*.f32 x x)))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓65.6%
#s(literal 1 binary32)
Compiler

Compiled 3 387 to 1 789 computations (47.2% saved)

simplify420.0ms (2.7%)

Memory
10.9MiB live, 727.8MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f32)
✓cost-diff0
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
✓cost-diff160
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32)))
✓cost-diff0
(*.f32 tau tau)
✓cost-diff0
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
✓cost-diff0
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
✓cost-diff640
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 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
(PI.f32)
✓cost-diff0
(*.f32 x (PI.f32))
✓cost-diff0
(sin.f32 (*.f32 x (PI.f32)))
✓cost-diff192
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
Rules
10 188×lower-fma.f64
10 174×lower-fma.f32
7 340×lower-*.f64
7 292×lower-*.f32
4 098×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048460
097440
1219424
2618420
32750414
47243413
57338413
67410413
77410413
08254412
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 tau tau)
tau
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(*.f32 tau tau)
tau
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(*.f32 tau #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32)))
(*.f32 tau tau)
tau
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 #s(literal 1/6 binary32) (*.f32 x x))
#s(literal 1/6 binary32)
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
(PI.f32)
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
tau
(*.f32 x (*.f32 x (PI.f32)))
x
(*.f32 x (PI.f32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
(sin.f32 (*.f32 x (PI.f32)))
Outputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau))))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)
(/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) tau)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(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 x (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) x)) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
(*.f32 tau tau)
tau
#s(literal 1 binary32)
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32)))))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(fma.f32 tau (*.f32 tau (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))) #s(literal 1/120 binary32))
(*.f32 tau tau)
tau
(fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32))
(fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32))
#s(literal 1/120 binary32)
#s(literal 1/36 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 x (*.f32 x (*.f32 x x)))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 x (*.f32 (PI.f32) (*.f32 (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))) x)) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (fma.f32 (PI.f32) (*.f32 tau tau) (PI.f32))))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(*.f32 tau #s(literal -1/6 binary32))
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (PI.f32))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32)))
(*.f32 x (fma.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (PI.f32)))))) (PI.f32)))
(*.f32 tau tau)
tau
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 x (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (PI.f32)))))))
(*.f32 #s(literal 1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal 1/6 binary32))
#s(literal 1/6 binary32)
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))))
#s(literal 1 binary32)
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x tau))))
(PI.f32)
(*.f32 tau (*.f32 x (*.f32 x (PI.f32))))
(*.f32 (PI.f32) (*.f32 x (*.f32 x tau)))
tau
(*.f32 x (*.f32 x (PI.f32)))
x
(*.f32 x (PI.f32))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)
(sin.f32 (*.f32 x (PI.f32)))

localize212.0ms (1.4%)

Memory
-1.6MiB live, 524.9MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.8%
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
✓accuracy98.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
✓accuracy98.9%
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x))
✓accuracy98.8%
(*.f32 #s(literal 1/6 binary32) (*.f32 x x))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.6%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
✓accuracy98.4%
(*.f32 (*.f32 x x) (*.f32 x x))
✓accuracy96.9%
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy99.7%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
✓accuracy99.0%
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
✓accuracy98.9%
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
✓accuracy98.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
✓accuracy98.8%
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
Samples
113.0ms256×0valid
Compiler

Compiled 482 to 58 computations (88% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 46.0ms (51.1% of total)
ival-sin: 14.0ms (15.6% of total)
const: 12.0ms (13.3% of total)
ival-add: 10.0ms (11.1% of total)
ival-div: 7.0ms (7.8% of total)
ival-pi: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series26.0ms (0.2%)

Memory
-4.7MiB live, 73.6MiB allocated
Counts
26 → 420
Calls
Call 1
Inputs
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (PI.f32)>
#<alt (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))>
#<alt (*.f32 x x)>
#<alt (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))>
#<alt (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))>
#<alt (*.f32 tau tau)>
#<alt (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32)))>
#<alt (/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))>
#<alt (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))>
#<alt (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))>
#<alt (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))>
#<alt (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))>
#<alt (*.f32 (*.f32 x x) (*.f32 x x))>
#<alt (*.f32 #s(literal 1/6 binary32) (*.f32 x x))>
#<alt (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))>
Outputs
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* -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 (* (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 (+ (* -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>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))>
#<alt (+ 1 (* (pow x 2) (+ (* (pow x 2) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2))))))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* (pow x 4) (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* (pow (PI) 4) (+ 1/120 (* (pow tau 2) (+ 1/36 (* 1/120 (pow tau 2)))))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<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 1/120>
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#<alt (* 1/120 (pow tau 4))>
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#<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 tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (pow tau 2)>
#<alt (* x (PI))>
#<alt (+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))>
#<alt (+ (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3)))) (* x (PI)))>
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#<alt (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))>
#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))>
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#<alt (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
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#<alt (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (pow (PI) 3))) (/ (* x (PI)) (pow tau 2))))>
#<alt (* x (PI))>
#<alt (* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* x (+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3))))))>
#<alt (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
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#<alt (* 1/6 (* (pow tau 2) (* (pow x 3) (pow (PI) 3))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (PI) (pow x 2))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))>
#<alt (+ 1 (* (pow x 2) (- (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (- (* 1/120 (pow (PI) 4)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (pow (PI) 2)))))))))) (* 1/6 (* (pow tau 2) (pow (PI) 2))))))>
#<alt (+ 1 (* (pow x 2) (- (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (- (+ (* 1/120 (pow (PI) 4)) (* (pow x 2) (- (* -1/5040 (pow (PI) 6)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* 1/120 (pow (PI) 4)) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (- (* -1/6 (pow (PI) 2)) (* 1/6 (* (pow tau 2) (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 tau 2) (pow (PI) 2))))))>
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#<alt (/ (+ (* -36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))) (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3))))) (pow x 3))>
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#<alt (/ (- (+ (* -1296 (/ (sin (* x (PI))) (* (pow tau 8) (* (pow x 6) (pow (PI) 9))))) (* 6 (/ (sin (* x (PI))) (* (pow tau 2) (pow (PI) 3))))) (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 4) (pow (PI) 7))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 2) (pow (PI) 5))))))) (pow x 3))>
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#<alt (/ (+ (* -36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))) (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3))))) (pow tau 2))>
#<alt (/ (- (+ (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3)))) (* 216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7)))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))) (pow tau 2))>
#<alt (/ (- (+ (* -1296 (/ (sin (* x (PI))) (* (pow tau 6) (* (pow x 9) (pow (PI) 9))))) (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3))))) (+ (* -216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5))))))) (pow tau 2))>
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#<alt (/ (- (+ (* 6 (/ (sin (* x (PI))) (* (pow x 3) (pow (PI) 3)))) (* 216 (/ (sin (* x (PI))) (* (pow tau 4) (* (pow x 7) (pow (PI) 7)))))) (* 36 (/ (sin (* x (PI))) (* (pow tau 2) (* (pow x 5) (pow (PI) 5)))))) (pow tau 2))>
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#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
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#<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))))))))))))))>
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#<alt (PI)>
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#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
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#<alt (/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))>
#<alt (PI)>
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#<alt -1/6>
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#<alt (pow x 4)>
#<alt (pow x 4)>
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#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
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#<alt (* tau (* x (PI)))>
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#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* (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))))>
Calls

105 calls:

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

rewrite400.0ms (2.6%)

Memory
30.9MiB live, 857.1MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 082×lower-*.f64
6 034×lower-*.f32
5 402×lower-fma.f64
5 388×lower-fma.f32
3 644×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
048298
097280
1376248
22374247
08894244
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
26 → 1 188
Calls
Call 1
Inputs
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(PI.f32)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32))
(*.f32 tau tau)
(fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))
(fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 #s(literal 1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(neg.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(neg.f32 (/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)) #s(literal -1 binary32))
(pow.f32 (/.f32 x (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))) #s(literal -1 binary32))
(-.f32 (/.f32 (/.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (/.f32 (/.f32 (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))) #s(literal 2 binary32)) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32)))
(/.f32 #s(literal 1 binary32) (/.f32 x (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) #s(literal 1 binary32))))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 x (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))))))
(/.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) x)
(/.f32 (*.f32 #s(literal 1 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 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32)))
(/.f32 (*.f32 #s(literal -1 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 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) #s(literal 2 binary32)))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.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 (PI.f32) (*.f32 x tau))) #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))))) #s(literal 1 binary32)) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (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) (neg.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (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))))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 #s(literal 2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32))))) (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (PI.f32)) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32)) (/.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.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 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal -1 binary32)) (neg.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))))
(/.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (/.f32 #s(literal 1 binary32) (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.f32)) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.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 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))) #s(literal 2 binary32))
(/.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) x) (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 x (PI.f32))))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))) (neg.f32 (neg.f32 (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) #s(literal 1 binary32))) (*.f32 (/.f32 (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (-.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 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 #s(literal -1 binary32) (-.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 (neg.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) #s(literal 2 binary32))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) (PI.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 x (*.f32 (PI.f32) (*.f32 x tau))) #s(literal 2 binary32))))
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(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32)) (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))
(/.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32))) (neg.f32 (+.f32 #s(literal 1/36 binary32) (-.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))
(/.f32 (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32))) (neg.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(/.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.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)))))
(/.f32 (-.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) #s(literal 1/36 binary32))) (*.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32)))) (neg.f32 (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)))))))
(/.f32 (neg.f32 (neg.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)))) (neg.f32 (neg.f32 (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32)))))
(/.f32 (neg.f32 (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))) (neg.f32 (-.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))))))
(*.f32 (fma.f32 #s(literal -1/216 binary32) (*.f32 (*.f32 tau (*.f32 tau tau)) (*.f32 tau (*.f32 tau tau))) #s(literal -1/216 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) (-.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))))))
(*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (/.f32 #s(literal 1 binary32) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))))
(*.f32 (fma.f32 tau tau #s(literal 1 binary32)) #s(literal -1/6 binary32))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 4 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 3 binary32) (log.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 12 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 8 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 10/3 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)))
(exp.f32 (fma.f32 #s(literal 2 binary32) (log.f32 x) (*.f32 #s(literal 2 binary32) (log.f32 x))))
(pow.f32 x #s(literal 4 binary32))
(pow.f32 (*.f32 x x) #s(literal 2 binary32))
(pow.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32))
(*.f32 x (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x #s(literal 1/6 binary32)))
(*.f32 (*.f32 x x) #s(literal 1/6 binary32))
(*.f32 #s(literal 1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal 1/6 binary32)) x)
(*.f32 x (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (PI.f32) (*.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 x (*.f32 (*.f32 x x) #s(literal 1/6 binary32))))
(*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 x x) #s(literal 1/6 binary32)))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) #s(literal 1/6 binary32))
(*.f32 (*.f32 x #s(literal 1/6 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) x)
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) (PI.f32)) (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 (*.f32 x x) #s(literal 1/6 binary32)) x) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/6 binary32)) (*.f32 x x))
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x #s(literal 1/6 binary32))) x)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(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 (*.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 (/.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))) #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 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32)))))))
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.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 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x tau)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) #s(literal 2 binary32))
(/.f32 (*.f32 #s(literal 1 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 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 (*.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 (*.f32 #s(literal 1 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 -2 binary32))
(/.f32 (neg.f32 (-.f32 (cos.f32 (-.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (*.f32 x 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 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 1 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))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 #s(literal 1 binary32) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32))))

simplify447.0ms (2.9%)

Memory
-12.1MiB live, 877.4MiB allocated
Algorithm
1×egg-herbie
Rules
12 544×lower-fma.f64
12 544×lower-fma.f32
8 234×lower-*.f64
8 234×lower-*.f32
2 418×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04866997
115806775
261886724
082936427
Stop Event
1×iter limit
1×node limit
Counts
420 → 420
Calls
Call 1
Inputs
1
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (sin (* x (PI))) (* x (PI)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(* 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)))
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1
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1
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(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(* 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)))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(+ (PI) (* (pow x 2) (- (* (pow x 2) (- (* -1 (* (pow x 2) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 7))) (+ (* 1/720 (* (pow tau 6) (pow (PI) 7))) (* 1/6 (* (pow tau 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow tau 4) (pow (PI) 5))) (* 1/120 (* (pow tau 4) (pow (PI) 5)))))) (* -1/6 (* (pow tau 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(PI)
(+ (PI) (* 1/6 (* (pow tau 2) (* (pow x 2) (pow (PI) 3)))))
(+ (PI) (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(+ (PI) (* (pow tau 2) (- (* (pow tau 2) (- (* -1 (* (pow tau 2) (+ (* -1/5040 (* (pow x 6) (pow (PI) 7))) (+ (* 1/720 (* (pow x 6) (pow (PI) 7))) (* 1/6 (* (pow x 2) (* (pow (PI) 2) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5))))))))))) (+ (* -1/36 (* (pow x 4) (pow (PI) 5))) (* 1/120 (* (pow x 4) (pow (PI) 5)))))) (* -1/6 (* (pow x 2) (pow (PI) 3))))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(/ (* tau (* x (pow (PI) 2))) (sin (* tau (* x (PI)))))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
(* tau (* x (pow (PI) 2)))
-1/6
(- (* -1/6 (pow tau 2)) 1/6)
(- (* -1/6 (pow tau 2)) 1/6)
(- (* -1/6 (pow tau 2)) 1/6)
(* -1/6 (pow tau 2))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1/6 (pow tau 2))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(* -1 (* (pow tau 2) (+ 1/6 (* 1/6 (/ 1 (pow tau 2))))))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (pow x 2))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 1/6 (* (pow x 3) (pow (PI) 3)))
(* 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 (* (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 (*.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 (*.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 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (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) (fma.f32 (pow.f32 (PI.f32) #s(literal 6 binary32)) (fma.f32 (*.f32 tau tau) #s(literal -1/720 binary32) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) #s(literal -1/720 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 (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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) (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 (*.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)))))) (* (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 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))) (*.f32 (*.f32 tau tau) #s(literal -1/5040 binary32)) (*.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 (*.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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 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 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (*.f32 tau (*.f32 (PI.f32) (PI.f32))))))
(* x (PI))
(*.f32 x (PI.f32))
(* x (+ (PI) (* -1/6 (* (pow x 2) (pow (PI) 3)))))
(*.f32 x (fma.f32 (*.f32 x 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 x (*.f32 x (*.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)))
(* 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 x (*.f32 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)))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
(* x (PI))
(*.f32 x (PI.f32))
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(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))
(* (sin (* tau (* x (PI)))) (sin (* x (PI))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (PI.f32))))

eval377.0ms (2.4%)

Memory
33.4MiB live, 814.0MiB allocated
Compiler

Compiled 100 412 to 6 780 computations (93.2% saved)

prune432.0ms (2.8%)

Memory
-7.6MiB live, 1 075.7MiB allocated
Pruning

72 alts after pruning (67 fresh and 5 done)

PrunedKeptTotal
New2 795302 825
Fresh123749
Picked145
Done011
Total2 808722 880
Accuracy
99.9%
Counts
2 880 → 72
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.4%
(fma.f32 (fma.f32 (*.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 (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)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
87.4%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
✓87.4%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
82.9%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
86.8%
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
87.4%
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
87.2%
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
87.2%
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
▶83.6%
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
87.5%
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
81.9%
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
87.5%
(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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
86.8%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
81.9%
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
81.9%
(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))
72.1%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
▶66.5%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
81.9%
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
87.2%
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
81.4%
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
87.5%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
65.9%
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
65.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
97.6%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
97.1%
(/.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)))))
66.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x)) (*.f32 (PI.f32) tau))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
▶97.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
81.1%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
88.1%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
71.2%
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
16.4%
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
80.3%
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
96.5%
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
✓81.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
81.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)) x))
94.5%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) tau)))) x))
✓97.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) x))
87.2%
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
87.5%
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
65.9%
(*.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))))) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
95.1%
(*.f32 (/.f32 (sin.f32 (*.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 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶88.5%
(*.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)))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (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)))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
97.0%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
87.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
✓97.2%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
65.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (-.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)))))))
96.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
87.8%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
72.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
13.3%
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 x x) (*.f32 x x)))
▶97.1%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
4.2%
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
✓65.6%
#s(literal 1 binary32)
Compiler

Compiled 4 426 to 2 344 computations (47% saved)

simplify278.0ms (1.8%)

Memory
-12.0MiB live, 495.3MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
✓cost-diff0
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
✓cost-diff0
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓cost-diff160
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
✓cost-diff0
(*.f32 (*.f32 x (PI.f32)) tau)
✓cost-diff0
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓cost-diff0
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
✓cost-diff0
(*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))
✓cost-diff0
(*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))
✓cost-diff0
(*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
✓cost-diff640
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #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))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
✓cost-diff128
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
Rules
7 370×lower-fma.f64
7 360×lower-fma.f32
6 418×lower-*.f64
6 360×lower-*.f32
2 794×lower-/.f64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
049429
098421
1232401
2762393
34457387
47723387
08285387
Stop Event
1×iter limit
1×node limit
1×iter limit
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x)))
(*.f32 (*.f32 x (PI.f32)) (neg.f32 x))
(neg.f32 x)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))
tau
(*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(*.f32 tau tau)
#s(literal 1/120 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(*.f32 tau #s(literal -1/6 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)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (PI.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 (PI.f32) (PI.f32))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 x x)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
x
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x tau)
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
x
(PI.f32)
(neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
tau
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x)))
(*.f32 tau (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) (neg.f32 x)))))
(*.f32 (*.f32 x (PI.f32)) (neg.f32 x))
(*.f32 x (*.f32 (PI.f32) (neg.f32 x)))
(neg.f32 x)
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 x x)
x
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))
(*.f32 (PI.f32) (PI.f32))
(PI.f32)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (fma.f32 #s(literal -1/6 binary32) (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 tau (*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))))))) #s(literal 1 binary32))
(*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) tau)))
(*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))
(*.f32 tau (*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))))
tau
(*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))
(*.f32 tau (*.f32 tau (*.f32 tau #s(literal 1/120 binary32))))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))
(*.f32 tau tau)
#s(literal 1/120 binary32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 x (*.f32 x (*.f32 x x)))
(*.f32 x x)
x
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (fma.f32 tau tau #s(literal 1 binary32)) (*.f32 (PI.f32) (*.f32 x (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))
(fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))
(*.f32 tau #s(literal -1/6 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)) (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 x (*.f32 (PI.f32) tau))) (fma.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 (PI.f32) tau)))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x (PI.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 (PI.f32)) (*.f32 (*.f32 x (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (PI.f32) (PI.f32))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(*.f32 x x)
#s(literal -1/6 binary32)
#s(literal 1 binary32)
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))))
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 x (*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32)))))
x
(*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))
(*.f32 tau (*.f32 x (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) tau)
(PI.f32)
tau
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))
(sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 x tau)

localize203.0ms (1.3%)

Memory
9.1MiB live, 399.8MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.9%
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
✓accuracy98.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
✓accuracy98.6%
(*.f32 (PI.f32) (*.f32 x tau))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
✓accuracy98.7%
(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
✓accuracy96.9%
(*.f32 (PI.f32) (PI.f32))
✓accuracy98.4%
(*.f32 (*.f32 x x) (*.f32 x x))
✓accuracy98.1%
(*.f32 (*.f32 tau tau) #s(literal 1/120 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)
✓accuracy99.9%
(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 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x)))
✓accuracy98.9%
(*.f32 x (PI.f32))
✓accuracy98.8%
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
✓accuracy98.7%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
Samples
115.0ms256×0valid
Compiler

Compiled 441 to 56 computations (87.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-mult: 53.0ms (61.1% of total)
ival-sin: 13.0ms (15% of total)
const: 6.0ms (6.9% of total)
ival-div: 5.0ms (5.8% of total)
ival-add: 5.0ms (5.8% of total)
ival-neg: 2.0ms (2.3% 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)

series30.0ms (0.2%)

Memory
26.0MiB live, 64.0MiB allocated
Counts
28 → 444
Calls
Call 1
Inputs
#<alt (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))>
#<alt (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))>
#<alt (sin.f32 (*.f32 x (PI.f32)))>
#<alt (*.f32 x (PI.f32))>
#<alt (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))>
#<alt (*.f32 x x)>
#<alt (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))>
#<alt (*.f32 (PI.f32) (PI.f32))>
#<alt (fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))>
#<alt (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))>
#<alt (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))>
#<alt (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))>
#<alt (*.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)))>
#<alt (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))>
#<alt (*.f32 (*.f32 x (PI.f32)) tau)>
#<alt (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))>
#<alt (*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))>
#<alt (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))>
#<alt (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))>
#<alt (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x)))>
#<alt (PI.f32)>
#<alt (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))>
#<alt (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))>
#<alt (*.f32 (*.f32 x x) (*.f32 x x))>
#<alt (*.f32 (*.f32 x x) #s(literal -1/6 binary32))>
#<alt (*.f32 (PI.f32) (*.f32 x tau))>
#<alt (*.f32 (*.f32 (PI.f32) tau) (PI.f32))>
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 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))>
#<alt (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))>
#<alt (* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* -1 (* (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)))))))) (* -1 (+ (* 1/120 (* tau (pow (PI) 6))) (+ (* 1/120 (* (pow tau 5) (pow (PI) 6))) (* 1/36 (* (pow tau 3) (pow (PI) 6))))))))))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* tau (* x (* (PI) (sin (* x (PI)))))))>
#<alt (* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))>
#<alt (* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))))>
#<alt (* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI)))))))))))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))>
#<alt (* -1 (* (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 (* -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 x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (pow x 4) (pow (PI) 4))))))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* 1/120 (* (pow tau 2) (* (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)))))>
#<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 (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 (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)))))>
#<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 (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 (pow tau 4))))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))>
#<alt (+ 1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))>
#<alt (+ 1 (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (* (pow x 2) (pow (PI) 4)))) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))>
#<alt (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))>
#<alt (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2))))>
#<alt (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (* (pow tau 4) (pow (PI) 4)))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 4))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt (* 1/120 (pow tau 3))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (* 1/36 (* (pow tau 2) (pow (PI) 4)))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (* -1/5040 (* (pow tau 6) (pow (PI) 6))))))))))))>
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* x (+ (* -1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)) (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))))>
#<alt (* -1/6 (/ (* x (* (PI) (sin (* tau (* x (PI)))))) tau))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (* -1 (* x (+ (* -1 (/ (sin (* tau (* x (PI)))) (* tau (* (pow x 2) (PI))))) (* 1/6 (/ (* (PI) (sin (* tau (* x (PI))))) tau)))))>
#<alt (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))>
#<alt (+ 1 (+ (* -1/6 (* (pow tau 2) (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* -1/6 (* (pow x 2) (pow (PI) 2)))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* 1/120 (* (pow tau 2) (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))))))))>
#<alt (+ 1 (+ (* -1/6 (* (pow x 2) (pow (PI) 2))) (* (pow tau 2) (+ (* -1/6 (* (pow x 2) (* (pow (PI) 2) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 6) (* (pow (PI) 6) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))) (* 1/120 (* (pow x 4) (* (pow (PI) 4) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2)))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (+ 1 (* -1/6 (* (pow x 2) (pow (PI) 2))))) (* tau (* x (PI))))>
#<alt 1>
#<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 (* tau (* x (PI))))>
#<alt (/ (+ (* -1/6 (/ (* (pow x 2) (PI)) tau)) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* 1/120 (/ (* (pow x 2) (pow (PI) 3)) tau)))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (+ (* (pow x 2) (+ (* -1/6 (/ (PI) tau)) (* (pow x 2) (+ (* -1/5040 (/ (* (pow x 2) (pow (PI) 5)) tau)) (* 1/120 (/ (pow (PI) 3) tau)))))) (/ 1 (* tau (PI)))) x)>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt 1>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (* 1/36 (* (pow tau 2) (pow (PI) 4))))))))))>
#<alt (+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (sin (* x (PI))) (* x (PI)))>
#<alt (+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (/ 1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* tau (* (pow x 2) (pow (PI) 2)))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* -1 (* tau (* (pow x 2) (pow (PI) 2))))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (* 1/120 (pow tau 2))>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (pow x 4)>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* -1/6 (pow x 2))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (* x (PI)))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
#<alt (* tau (pow (PI) 2))>
Calls

111 calls:

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

rewrite369.0ms (2.4%)

Memory
-5.2MiB live, 564.2MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 050×lower-fma.f64
6 040×lower-fma.f32
4 998×lower-*.f64
4 940×lower-*.f32
3 420×lower-/.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049286
098276
1329249
22313240
08265236
Stop Event
1×iter limit
1×node limit
1×iter limit
Counts
28 → 1 075
Calls
Call 1
Inputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(sin.f32 (*.f32 x (PI.f32)))
(*.f32 x (PI.f32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 x x)
(*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (PI.f32))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))
(*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 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 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau))
(sin.f32 (*.f32 (*.f32 x (PI.f32)) tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32)))))
(*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))
(*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x)))
(PI.f32)
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
Outputs
(neg.f32 (*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))))
(neg.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (*.f32 x (*.f32 x (PI.f32)))))
(exp.f32 (*.f32 (log.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) #s(literal -1 binary32)))
(pow.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32))
(pow.f32 (/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.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 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau))) #s(literal -1 binary32))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))) (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (neg.f32 (*.f32 (neg.f32 (PI.f32)) (neg.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)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))))
(-.f32 (/.f32 #s(literal 0 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))))
(/.f32 #s(literal 1 binary32) (/.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.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 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau))))
(/.f32 #s(literal 1 binary32) (neg.f32 (neg.f32 (/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.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 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.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 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) (*.f32 (neg.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 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))) (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (PI.f32)) (neg.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 (neg.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))))
(/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau))) (neg.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32)) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 x (PI.f32))))))) (*.f32 (PI.f32) tau))
(/.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (PI.f32) tau))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) x) (neg.f32 (*.f32 x (PI.f32))))
(/.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32))) (neg.f32 x))
(/.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (neg.f32 x)) (*.f32 x (PI.f32)))
(/.f32 (neg.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)))) (neg.f32 (neg.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 1 binary32))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32))))))
(/.f32 (neg.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))))) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(/.f32 (neg.f32 (*.f32 (/.f32 #s(literal 1 binary32) x) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (neg.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (PI.f32))) (neg.f32 (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32))))))) (neg.f32 (*.f32 (PI.f32) tau)))
(/.f32 (neg.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) x)) (neg.f32 (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))) (neg.f32 (neg.f32 x)))
(/.f32 (neg.f32 (/.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (neg.f32 x))) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(*.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))))
(*.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(*.f32 #s(literal 1 binary32) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)) (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (pow.f32 (/.f32 #s(literal -1 binary32) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) #s(literal -1 binary32)))
(*.f32 (/.f32 (*.f32 (neg.f32 (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (PI.f32) tau)) (/.f32 #s(literal 1 binary32) (neg.f32 (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (neg.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))) (sin.f32 (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (/.f32 (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
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(-.f32 #s(literal 0 binary32) (/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal -1 binary32)))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) #s(literal -1 binary32))
(/.f32 #s(literal 1 binary32) (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(/.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(/.f32 #s(literal -1 binary32) (neg.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))))
(/.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) #s(literal 1 binary32))
(*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 x (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal 1 binary32)))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x x) (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) #s(literal 1 binary32)))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) x)
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (/.f32 x #s(literal 1 binary32)))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal 1 binary32))
(*.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32))
(*.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) tau)) (PI.f32))
(neg.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(neg.f32 (*.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(neg.f32 (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))))
(-.f32 #s(literal 0 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(/.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))) #s(literal 1 binary32))
(/.f32 (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) #s(literal -1 binary32))
(/.f32 (-.f32 #s(literal 0 binary32) (pow.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal 3 binary32))) (+.f32 #s(literal 0 binary32) (fma.f32 (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (*.f32 #s(literal 0 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))))
(*.f32 x (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))))
(*.f32 x (*.f32 (neg.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) tau)))
(*.f32 (PI.f32) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)))
(*.f32 tau (*.f32 (PI.f32) (neg.f32 (*.f32 x (*.f32 x (PI.f32))))))
(*.f32 (*.f32 (PI.f32) tau) (neg.f32 (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (neg.f32 x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 #s(literal 1 binary32) (*.f32 (*.f32 x (PI.f32)) (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau))))
(*.f32 (*.f32 x (*.f32 (PI.f32) tau)) (neg.f32 (*.f32 x (PI.f32))))
(*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (neg.f32 x))
(*.f32 #s(literal -1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (*.f32 x (PI.f32)))
(*.f32 (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32))))) (PI.f32))
(*.f32 (neg.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) x)
(*.f32 (neg.f32 (*.f32 x x)) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (neg.f32 (*.f32 x (*.f32 x (PI.f32)))) (PI.f32)) tau)
(*.f32 (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) #s(literal -1 binary32)) x)
(PI.f32)
(exp.f32 (log.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1/3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))) #s(literal 3 binary32)))
(exp.f32 (*.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32)) #s(literal 1/3 binary32)))
(fabs.f32 (PI.f32))
(pow.f32 (PI.f32) #s(literal 1 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 1/2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 1/3 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 3 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 2 binary32))
(pow.f32 (E.f32) (log.f32 (PI.f32)))
(sqrt.f32 (*.f32 (PI.f32) (PI.f32)))
(cbrt.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (PI.f32) #s(literal 1 binary32))
(*.f32 (PI.f32) (log.f32 (E.f32)))
(*.f32 #s(literal 1 binary32) (PI.f32))
(*.f32 (cbrt.f32 (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 (cbrt.f32 (PI.f32)) (log.f32 (exp.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)))))
(*.f32 (cbrt.f32 (PI.f32)) (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (cbrt.f32 (PI.f32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 1/6 binary32)) #s(literal 2 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (sqrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (PI.f32)) (log.f32 (exp.f32 (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (pow.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32)) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (pow.f32 (PI.f32) #s(literal 7/3 binary32))))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))))
(*.f32 (sqrt.f32 (sqrt.f32 (PI.f32))) (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (pow.f32 #s(literal 1 binary32) #s(literal 1/3 binary32)) (PI.f32))
(*.f32 (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (pow.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 1/3 binary32)) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (pow.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32))) #s(literal 1/3 binary32)) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (cbrt.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (cbrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)))
(*.f32 (exp.f32 (*.f32 #s(literal 2 binary32) (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32))))) (exp.f32 (*.f32 #s(literal 1/3 binary32) (log.f32 (PI.f32)))))
(*.f32 (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))) (exp.f32 (*.f32 #s(literal 1/2 binary32) (log.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (cbrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (sqrt.f32 (PI.f32)))) (cbrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (cbrt.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (cbrt.f32 (cbrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32))))
(*.f32 (sqrt.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))) (pow.f32 (PI.f32) #s(literal 1/6 binary32)))
(log.f32 (exp.f32 (PI.f32)))
(exp.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 4 binary32)))
(exp.f32 (*.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) #s(literal 2 binary32)))
(exp.f32 (*.f32 (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32)) #s(literal 2 binary32)))
(exp.f32 (+.f32 (log.f32 (PI.f32)) (*.f32 (log.f32 (PI.f32)) #s(literal 3 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 2 binary32) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (*.f32 (log.f32 (PI.f32)) #s(literal 2 binary32))))
(exp.f32 (+.f32 (log.f32 (*.f32 (PI.f32) (PI.f32))) (log.f32 (*.f32 (PI.f32) (PI.f32)))))
(exp.f32 (fma.f32 (log.f32 (PI.f32)) #s(literal 3 binary32) (log.f32 (PI.f32))))
(pow.f32 (PI.f32) #s(literal 4 binary32))
(pow.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal 2 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 4/3 binary32))
(pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(pow.f32 (cbrt.f32 (PI.f32)) #s(literal 12 binary32))
(pow.f32 (sqrt.f32 (PI.f32)) #s(literal 8 binary32))
(pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 3 binary32))
(pow.f32 (*.f32 (PI.f32) (cbrt.f32 (PI.f32))) #s(literal 3 binary32))
(cbrt.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))
(*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32)))
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (PI.f32))
(*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (pow.f32 (PI.f32) #s(literal 10/3 binary32)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) #s(literal 4 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (pow.f32 (PI.f32) #s(literal 4/3 binary32)) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 4/3 binary32)))
(*.f32 (pow.f32 (*.f32 (PI.f32) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) #s(literal 2 binary32)) (pow.f32 (PI.f32) #s(literal 2/3 binary32)))
(*.f32 tau (*.f32 tau #s(literal 1/120 binary32)))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(*.f32 #s(literal 1/120 binary32) (*.f32 tau tau))
(*.f32 (*.f32 tau #s(literal 1/120 binary32)) tau)
(exp.f32 (*.f32 (*.f32 #s(literal 2 binary32) (log.f32 x)) #s(literal 2 binary32)))
(exp.f32 (*.f32 (log.f32 x) #s(literal 4 binary32)))
(exp.f32 (fma.f32 #s(literal 2 binary32) (log.f32 x) (*.f32 #s(literal 2 binary32) (log.f32 x))))
(pow.f32 x #s(literal 4 binary32))
(pow.f32 (*.f32 x x) #s(literal 2 binary32))
(pow.f32 (*.f32 x (*.f32 x (*.f32 x x))) #s(literal 1 binary32))
(*.f32 x (*.f32 x (*.f32 x x)))
(*.f32 (*.f32 x x) (*.f32 x x))
(*.f32 (*.f32 x (*.f32 x x)) x)
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(*.f32 (*.f32 x x) #s(literal -1/6 binary32))
(*.f32 #s(literal -1/6 binary32) (*.f32 x x))
(*.f32 (*.f32 x #s(literal -1/6 binary32)) x)
(*.f32 x (*.f32 (PI.f32) tau))
(*.f32 (PI.f32) (*.f32 x tau))
(*.f32 (*.f32 x (PI.f32)) tau)
(*.f32 tau (*.f32 x (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) x)
(*.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 x tau) (PI.f32))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 x tau)))
(*.f32 (*.f32 (*.f32 x tau) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 x tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))
(*.f32 (PI.f32) (*.f32 (PI.f32) tau))
(*.f32 tau (*.f32 (PI.f32) (PI.f32)))
(*.f32 (*.f32 (PI.f32) tau) (PI.f32))
(*.f32 (*.f32 (PI.f32) (PI.f32)) tau)
(*.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))
(*.f32 (pow.f32 (PI.f32) #s(literal 2/3 binary32)) (*.f32 (cbrt.f32 (PI.f32)) (*.f32 (PI.f32) tau)))
(*.f32 (sqrt.f32 (PI.f32)) (*.f32 (sqrt.f32 (PI.f32)) (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) #s(literal 1 binary32)) (PI.f32))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (pow.f32 (PI.f32) #s(literal 2/3 binary32))) (cbrt.f32 (PI.f32)))
(*.f32 (*.f32 (*.f32 (PI.f32) tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))

simplify669.0ms (4.3%)

Memory
5.9MiB live, 622.2MiB allocated
Algorithm
1×egg-herbie
Rules
18 368×lower-fma.f64
18 368×lower-fma.f32
8 170×lower-*.f64
8 170×lower-*.f32
4 130×lower-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04045960
113775843
255675639
082895461
Stop Event
1×iter limit
1×node limit
Counts
444 → 444
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))))
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(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* tau (* (pow x 2) (pow (PI) 2)))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(* 1/120 (pow tau 2))
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(pow x 4)
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* -1/6 (pow x 2))
(* 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 (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
(* tau (pow (PI) 2))
Outputs
1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (* -1/6 (pow (PI) 2)))))
(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 (*.f32 (*.f32 (PI.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)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(+ 1 (* (pow x 2) (+ (* -1/6 (* (pow tau 2) (pow (PI) 2))) (+ (* -1/6 (pow (PI) 2)) (* (pow x 2) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (* 1/120 (pow (PI) 4)) (+ (* 1/36 (* (pow tau 2) (pow (PI) 4))) (* (pow x 2) (+ (* -1/720 (* (pow tau 2) (pow (PI) 6))) (+ (* -1/720 (* (pow tau 4) (pow (PI) 6))) (+ (* -1/5040 (* (pow tau 6) (pow (PI) 6))) (* -1/5040 (pow (PI) 6))))))))))))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32))) (*.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 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/ (* (sin (* tau (* x (PI)))) (sin (* x (PI)))) (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (PI.f32)))))
(/ (sin (* x (PI))) (* x (PI)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(+ (* -1/6 (* (pow tau 2) (* x (* (PI) (sin (* x (PI))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 #s(literal -1/6 binary32) (*.f32 (*.f32 tau tau) (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* 1/120 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal -1/6 binary32) (*.f32 x (PI.f32)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(+ (* (pow tau 2) (+ (* -1/6 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/5040 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/120 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))) (/ (sin (* x (PI))) (* x (PI))))
(fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 (*.f32 (PI.f32) (sin.f32 (*.f32 x (PI.f32)))) #s(literal -1/6 binary32)) (*.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 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/ (* (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (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 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* -1 (* (pow x 2) (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))))))
(*.f32 (*.f32 x x) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)) (*.f32 x x)) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (* (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))))))) (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4)))))))))
(*.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (*.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)))))) (neg.f32 (*.f32 x x)) (*.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau)))) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))))))
(* (pow x 2) (+ (* -1 (* tau (pow (PI) 2))) (* (pow x 2) (+ (* -1 (+ (* -1/6 (* tau (pow (PI) 4))) (* -1/6 (* (pow tau 3) (pow (PI) 4))))) (* (pow x 2) (+ (* -1 (* (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)))))))) (* -1 (+ (* 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) (neg.f32 (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 8 binary32)) (fma.f32 #s(literal -1/5040 binary32) (+.f32 (pow.f32 tau #s(literal 7 binary32)) tau) (*.f32 #s(literal -1/720 binary32) (fma.f32 tau (*.f32 tau tau) (pow.f32 tau #s(literal 5 binary32)))))) (*.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 #s(literal 1/6 binary32) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (fma.f32 tau tau #s(literal 1 binary32)) tau))))) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32))))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (neg.f32 (sin.f32 (*.f32 x (PI.f32)))))
(* -1 (* tau (* x (* (PI) (sin (* x (PI)))))))
(*.f32 (*.f32 (*.f32 x (PI.f32)) (sin.f32 (*.f32 x (PI.f32)))) (neg.f32 tau))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* 1/6 (* (pow tau 2) (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))))))
(*.f32 tau (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 x (neg.f32 (PI.f32)) (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/6 binary32)) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow tau 2) (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI))))))) (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI))))))))))
(*.f32 tau (fma.f32 (*.f32 tau tau) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 #s(literal 1/6 binary32) (*.f32 (*.f32 x x) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 (*.f32 tau tau) #s(literal -1/120 binary32)) (*.f32 (pow.f32 x #s(literal 5 binary32)) (pow.f32 (PI.f32) #s(literal 5 binary32)))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (neg.f32 (PI.f32))))))
(* tau (+ (* -1 (* x (* (PI) (sin (* x (PI)))))) (* (pow tau 2) (+ (* 1/6 (* (pow x 3) (* (pow (PI) 3) (sin (* x (PI)))))) (* (pow tau 2) (+ (* -1/120 (* (pow x 5) (* (pow (PI) 5) (sin (* x (PI)))))) (* 1/5040 (* (pow tau 2) (* (pow x 7) (* (pow (PI) 7) (sin (* x (PI)))))))))))))
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(* -1 (* (sin (* tau (* x (PI)))) (sin (* x (PI)))))
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(* x (PI))
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(* 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))))))))
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(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
(sin.f32 (*.f32 x (PI.f32)))
(sin (* x (PI)))
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1
#s(literal 1 binary32)
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
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(* (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 (pow tau 4))))))
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(* (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 (pow tau 4))))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
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(* (pow tau 4) (+ (* -1/6 (/ (* (pow x 2) (pow (PI) 2)) (pow tau 2))) (* 1/120 (* (pow x 4) (pow (PI) 4)))))
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(* (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 (pow tau 4))))))
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(* (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 (pow tau 4))))))
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1
#s(literal 1 binary32)
(+ 1 (* (pow x 2) (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6))))
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(* 1/120 (* (pow tau 4) (* (pow x 4) (pow (PI) 4))))
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(* (pow x 4) (+ (* 1/120 (* (pow tau 4) (pow (PI) 4))) (+ (/ 1 (pow x 4)) (/ (* (pow (PI) 2) (- (* -1/6 (pow tau 2)) 1/6)) (pow x 2)))))
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(* 1/120 (* (pow tau 4) (pow (PI) 4)))
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(* 1/120 (* (pow tau 4) (pow (PI) 4)))
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(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
(/.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(/ 1 (* tau (* (pow x 2) (pow (PI) 2))))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
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(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
(* tau (* (pow x 2) (pow (PI) 2)))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(* tau (* (pow x 2) (pow (PI) 2)))
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(* tau (* (pow x 2) (pow (PI) 2)))
(*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
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(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
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(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* -1 (* tau (* (pow x 2) (pow (PI) 2))))
(*.f32 (*.f32 x x) (neg.f32 (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(* 1/120 (pow tau 2))
(*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(pow x 4)
(*.f32 (*.f32 x x) (*.f32 x x))
(* -1/6 (pow x 2))
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(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
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(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* -1/6 (pow x 2))
(*.f32 x (*.f32 x #s(literal -1/6 binary32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
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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)))
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(*.f32 x (*.f32 tau (PI.f32)))
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(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (* x (PI)))
(*.f32 x (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
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(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))
(* tau (pow (PI) 2))
(*.f32 (PI.f32) (*.f32 tau (PI.f32)))

eval929.0ms (6%)

Memory
-169.6MiB live, 451.8MiB allocated
Compiler

Compiled 91 644 to 6 565 computations (92.8% saved)

prune560.0ms (3.6%)

Memory
7.7MiB live, 927.4MiB allocated
Pruning

89 alts after pruning (85 fresh and 4 done)

PrunedKeptTotal
New2 615472 662
Fresh243862
Picked415
Done235
Total2 645892 734
Accuracy
99.9%
Counts
2 734 → 89
Alt Table
Click to see full alt table
StatusAccuracyProgram
86.4%
(fma.f32 (fma.f32 (*.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 (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)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
87.4%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
82.9%
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
83.6%
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
66.5%
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
87.4%
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
87.2%
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
83.5%
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
66.5%
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
87.5%
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
81.9%
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
87.5%
(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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
83.6%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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))
86.8%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.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))
87.5%
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
83.6%
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
72.1%
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))) #s(literal 1 binary32))
86.8%
(fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
81.4%
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
87.7%
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
65.9%
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #s(literal 2 binary32)))
65.8%
(/.f32 (-.f32 (cos.f32 (*.f32 x (-.f32 (*.f32 (PI.f32) tau) (PI.f32)))) (cos.f32 (*.f32 x (fma.f32 (PI.f32) tau (PI.f32))))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
87.8%
(/.f32 (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) tau)
88.1%
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
97.5%
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
87.8%
(/.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
72.9%
(/.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
96.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
88.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
88.4%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (*.f32 x (*.f32 tau (PI.f32))))
97.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
97.1%
(/.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)))))
66.2%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x)) (*.f32 (PI.f32) tau))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
97.6%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
97.3%
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (*.f32 x (PI.f32))))
81.1%
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
71.2%
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
16.4%
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
80.3%
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
✓81.1%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
81.0%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)) x))
✓97.9%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
97.6%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x)))
66.4%
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) x))
88.1%
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
87.5%
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
86.8%
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
82.5%
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
86.8%
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
92.8%
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.8%
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.8%
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
65.9%
(*.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))))) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
87.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
87.7%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
88.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
87.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
✓88.5%
(*.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)))
95.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (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)))
73.0%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
87.8%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
87.9%
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
97.5%
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
87.8%
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x tau)))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.6%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.2%
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
87.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
65.6%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (-.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)))))))
72.9%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
97.5%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
72.7%
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.6%
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
97.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
87.6%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
72.7%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
94.5%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) (*.f32 x tau))))
97.0%
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
13.3%
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
4.3%
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))
4.2%
(*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau))))
88.3%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
88.2%
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
97.1%
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
4.5%
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
✓65.6%
#s(literal 1 binary32)
Compiler

Compiled 6 728 to 2 011 computations (70.1% saved)

regimes213.0ms (1.4%)

Memory
-15.7MiB live, 271.1MiB allocated
Counts
143 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.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 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.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 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau))))
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(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (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 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (PI.f32)) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau))))
(/.f32 (*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))) (sin.f32 (*.f32 x (PI.f32)))) (PI.f32))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (neg.f32 x) (/.f32 (*.f32 (PI.f32) tau) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))) (neg.f32 (*.f32 x (PI.f32)))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) 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 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))) #s(literal 2 binary32)))
(/.f32 (-.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x)))) (*.f32 (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))) #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))))) (PI.f32)) (/.f32 #s(literal 1/2 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (sqrt.f32 (PI.f32)))) (sqrt.f32 (sqrt.f32 (PI.f32)))) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) (log.f32 (E.f32))))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (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)))
(*.f32 (/.f32 (sin.f32 (*.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 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) (*.f32 x tau))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (*.f32 (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32)) (pow.f32 (cbrt.f32 (sqrt.f32 (PI.f32))) #s(literal 3 binary32))) tau)))) x))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (/.f32 (-.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) #s(literal 3 binary32)) (pow.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) #s(literal 3 binary32))) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (fma.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)) (*.f32 (/.f32 (cos.f32 (*.f32 (PI.f32) (-.f32 (*.f32 x tau) x))) #s(literal 2 binary32)) (/.f32 (cos.f32 (*.f32 (PI.f32) (fma.f32 x tau x))) #s(literal 2 binary32)))))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Calls

4 calls:

62.0ms
(*.f32 x (PI.f32))
59.0ms
x
46.0ms
(*.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))))
38.0ms
tau
Results
AccuracySegmentsBranch
98.1%1x
98.1%1tau
98.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
98.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes178.0ms (1.1%)

Memory
-4.6MiB live, 265.5MiB allocated
Counts
123 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #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 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (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 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (*.f32 x (PI.f32)) (neg.f32 tau)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (neg.f32 (PI.f32)) (neg.f32 (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) tau)) (*.f32 x x))) (sin.f32 (*.f32 x (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) x)) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (*.f32 (*.f32 x (PI.f32)) (PI.f32)) (*.f32 x tau))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (PI.f32))))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 (PI.f32) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
Calls

4 calls:

74.0ms
x
34.0ms
tau
33.0ms
(*.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
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.7%1x
97.7%1tau
97.7%1(*.f32 x (PI.f32))
97.7%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes120.0ms (0.8%)

Memory
30.8MiB live, 265.4MiB allocated
Counts
106 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
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(fma.f32 (fma.f32 (*.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 (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)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (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 tau (PI.f32)))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau)))))
Outputs
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
Calls

4 calls:

30.0ms
tau
29.0ms
(*.f32 x (PI.f32))
28.0ms
(*.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))))
28.0ms
x
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
97.6%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)

regimes122.0ms (0.8%)

Memory
-23.7MiB live, 297.0MiB allocated
Counts
102 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.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 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
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(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 (PI.f32) tau)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 x (PI.f32))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Calls

4 calls:

33.0ms
(*.f32 x (PI.f32))
29.0ms
tau
28.0ms
x
26.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
97.6%1x
97.6%1tau
97.6%1(*.f32 x (PI.f32))
97.6%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)

regimes112.0ms (0.7%)

Memory
25.2MiB live, 300.6MiB allocated
Counts
99 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.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 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau))))
(+.f32 (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x)) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 x x) (*.f32 x x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.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 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(fma.f32 (fma.f32 (*.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 (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)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Calls

4 calls:

29.0ms
tau
26.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
26.0ms
x
26.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.2%1tau
97.2%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))))
97.2%1x
97.2%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes154.0ms (1%)

Memory
-25.2MiB live, 252.0MiB allocated
Counts
98 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
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(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (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 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 (PI.f32) tau) x)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (PI.f32) tau) x)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (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 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (fma.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x) (PI.f32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 x (*.f32 x #s(literal 1/6 binary32))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)) x))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32))) (*.f32 x (*.f32 tau (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (*.f32 x (*.f32 (PI.f32) tau)))
(*.f32 (*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) tau) (fma.f32 #s(literal 1/6 binary32) (PI.f32) (/.f32 #s(literal -1 binary32) (*.f32 x (*.f32 x (PI.f32)))))) (neg.f32 x))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x tau)))
(*.f32 (/.f32 (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (PI.f32)) (*.f32 x tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (/.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (*.f32 x (PI.f32)))) tau)
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32))) (PI.f32)) (*.f32 x tau))
(/.f32 #s(literal 1 binary32) (/.f32 (*.f32 x (*.f32 (PI.f32) tau)) (*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)))))
(*.f32 (/.f32 (fma.f32 #s(literal -1/6 binary32) (/.f32 (*.f32 x (*.f32 x (PI.f32))) tau) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(fma.f32 (fma.f32 (*.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 (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)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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)))))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 tau (PI.f32)))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (*.f32 (*.f32 (*.f32 x x) tau) (PI.f32)))))
Calls

4 calls:

58.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
39.0ms
x
26.0ms
tau
25.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
97.1%1tau
97.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
97.1%1x
97.1%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes109.0ms (0.7%)

Memory
45.2MiB live, 196.7MiB allocated
Counts
97 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
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(fma.f32 (fma.f32 (*.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 (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)) (/.f32 #s(literal 1 binary32) (fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal -1 binary32))) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))))))
(/.f32 (*.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 (PI.f32) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) (*.f32 tau (*.f32 x (*.f32 x (PI.f32)))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32)))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x tau) (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32))) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) x))
(/.f32 (/.f32 (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(/.f32 (sin.f32 (*.f32 (*.f32 x (sqrt.f32 (PI.f32))) (sqrt.f32 (PI.f32)))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(/.f32 (*.f32 x (fma.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 x x)) (PI.f32))) (neg.f32 (*.f32 (/.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau)))) (neg.f32 x))))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau))))) (*.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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Outputs
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
Calls

4 calls:

27.0ms
x
27.0ms
(*.f32 x (PI.f32))
26.0ms
tau
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
92.8%1x
92.8%1tau
92.8%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
92.8%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes113.0ms (0.7%)

Memory
-16.9MiB live, 214.5MiB allocated
Counts
96 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.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 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
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(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (pow.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) #s(literal 2/3 binary32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(/.f32 (*.f32 (fma.f32 #s(literal 1/36 binary32) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 x x)))) #s(literal -1 binary32)) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (fma.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)))) #s(literal -1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
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:

30.0ms
x
25.0ms
tau
25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
25.0ms
(*.f32 x (PI.f32))
Results
AccuracySegmentsBranch
88.5%1x
88.5%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))))
88.5%1(*.f32 x (PI.f32))
88.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes99.0ms (0.6%)

Memory
13.1MiB live, 146.0MiB allocated
Counts
64 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.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 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.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 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau))))
(+.f32 (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x)) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 x x) (*.f32 x x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.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 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x tau) (PI.f32))) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x tau) (PI.f32))) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Outputs
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
Calls

4 calls:

25.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
21.0ms
(*.f32 x (PI.f32))
17.0ms
tau
16.0ms
x
Results
AccuracySegmentsBranch
88.3%1x
88.3%1tau
88.3%1(*.f32 x (PI.f32))
88.3%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes81.0ms (0.5%)

Memory
-4.3MiB live, 155.4MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
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(fma.f32 (*.f32 x x) (fma.f32 (*.f32 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.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 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau))))
(+.f32 (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (+.f32 #s(literal 1/120 binary32) (/.f32 #s(literal 1/36 binary32) (*.f32 tau tau)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (fma.f32 (fma.f32 tau (*.f32 tau #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 tau (*.f32 tau (*.f32 tau tau))) (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32)))
(/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 (PI.f32) x))
(fma.f32 (*.f32 tau tau) (*.f32 (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 tau (PI.f32)))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) #s(literal 1 binary32))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (/.f32 tau x)) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))))) (*.f32 (*.f32 x x) (*.f32 x x)))
(*.f32 (pow.f32 (PI.f32) #s(literal 4 binary32)) (*.f32 (*.f32 (*.f32 x x) (*.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 (*.f32 (*.f32 x (PI.f32)) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(*.f32 (*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (*.f32 x (PI.f32))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 #s(literal 6 binary32) (sin.f32 (*.f32 x (PI.f32)))) (*.f32 (*.f32 x (*.f32 x x)) (*.f32 tau (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))
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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
Calls

4 calls:

21.0ms
(*.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))))
20.0ms
(*.f32 x (PI.f32))
19.0ms
tau
19.0ms
x
Results
AccuracySegmentsBranch
87.5%1x
87.5%1tau
87.5%1(*.f32 x (PI.f32))
87.5%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)

regimes61.0ms (0.4%)

Memory
-13.6MiB live, 100.1MiB allocated
Counts
46 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) x (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) x #s(literal 1 binary32))
(+.f32 (*.f32 (*.f32 x x) (fma.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))))) #s(literal 1 binary32))
(/.f32 (*.f32 x (fma.f32 (*.f32 x x) (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) (PI.f32))) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 (*.f32 tau (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) x) x (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))))) (fma.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32))) (*.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 tau #s(literal -1/6 binary32)) (*.f32 tau (*.f32 (PI.f32) (PI.f32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 tau (*.f32 tau #s(literal -1/6 binary32))) (PI.f32)) (PI.f32) (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.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) (PI.f32)) (*.f32 tau #s(literal -1/6 binary32))) tau (fma.f32 (PI.f32) (*.f32 (PI.f32) #s(literal -1/6 binary32)) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 x x) (*.f32 (*.f32 x x) (*.f32 (*.f32 tau (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32))) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))))))
(fma.f32 (*.f32 (*.f32 x (*.f32 x (*.f32 x x))) (*.f32 (PI.f32) (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)))) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (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)))
(fma.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.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 tau tau) (*.f32 tau tau)) (fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 x x) (*.f32 x x))) (/.f32 (*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 tau tau))))
(+.f32 (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x))) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (PI.f32) (*.f32 (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 x x)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x x) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) (*.f32 (PI.f32) (PI.f32)) (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(fma.f32 (*.f32 (*.f32 x (PI.f32)) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)))) x (+.f32 #s(literal 1 binary32) (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 tau (*.f32 tau #s(literal 1/120 binary32)) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (PI.f32))))))))
(*.f32 (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (PI.f32) (*.f32 (PI.f32) (/.f32 (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32)) (*.f32 x x))) (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))))
(+.f32 (+.f32 #s(literal 1 binary32) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)))) (*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))))
(*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) (*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 #s(literal -1/6 binary32) (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))))) #s(literal 1 binary32)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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:

16.0ms
tau
15.0ms
x
15.0ms
(*.f32 x (PI.f32))
12.0ms
(*.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
87.5%1tau
87.5%1x
87.5%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))))
87.5%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes32.0ms (0.2%)

Memory
12.5MiB live, 56.7MiB allocated
Counts
21 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 (fma.f32 (*.f32 tau tau) #s(literal 1/36 binary32) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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:

12.0ms
x
6.0ms
tau
6.0ms
(*.f32 x (PI.f32))
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
83.6%1tau
83.6%1x
83.6%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))))
83.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes28.0ms (0.2%)

Memory
7.8MiB live, 45.2MiB allocated
Counts
19 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
Calls

4 calls:

10.0ms
x
6.0ms
(*.f32 x (PI.f32))
6.0ms
tau
6.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Results
AccuracySegmentsBranch
83.6%1tau
83.6%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))))
83.6%1x
83.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes26.0ms (0.2%)

Memory
8.3MiB live, 45.7MiB allocated
Counts
18 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(/.f32 (/.f32 (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))) (*.f32 x (*.f32 x (PI.f32)))) (*.f32 (PI.f32) tau))
(*.f32 (*.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (*.f32 x x) (*.f32 x x))) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau))))
(/.f32 (*.f32 x (PI.f32)) (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 #s(literal 1/6 binary32) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) x)) (*.f32 x (PI.f32))))
(fma.f32 (*.f32 x x) (/.f32 (*.f32 (fma.f32 (*.f32 tau tau) (*.f32 (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal -1/36 binary32)) (*.f32 (PI.f32) (PI.f32))) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal 1/6 binary32))) #s(literal 1 binary32))
(/.f32 (fma.f32 (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) (*.f32 (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))) (+.f32 tau (*.f32 tau (*.f32 tau tau)))) (*.f32 tau (PI.f32))) (*.f32 (PI.f32) tau))
(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))
(fma.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))) (*.f32 (*.f32 x x) (*.f32 x x)) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32))) #s(literal 1 binary32)))
Outputs
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
Calls

4 calls:

9.0ms
(*.f32 x (PI.f32))
6.0ms
tau
5.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
5.0ms
x
Results
AccuracySegmentsBranch
82.5%1tau
82.5%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))))
82.5%1x
82.5%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes46.0ms (0.3%)

Memory
-11.9MiB live, 26.0MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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 (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(*.f32 (/.f32 #s(literal 1 binary32) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (*.f32 (*.f32 x x) (*.f32 tau (*.f32 (PI.f32) (PI.f32)))))
Outputs
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.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:

35.0ms
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
81.9%1x
81.9%1(*.f32 x (PI.f32))
81.9%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))))
81.9%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes31.0ms (0.2%)

Memory
-22.0MiB live, 22.3MiB allocated
Counts
8 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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:

21.0ms
x
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
(*.f32 x (PI.f32))
3.0ms
tau
Results
AccuracySegmentsBranch
81.9%1x
81.9%1(*.f32 x (PI.f32))
81.9%1tau
81.9%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)

regimes12.0ms (0.1%)

Memory
24.2MiB live, 24.2MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
(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:

3.0ms
(*.f32 x (PI.f32))
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
x
Results
AccuracySegmentsBranch
72.1%1x
72.1%1(*.f32 x (PI.f32))
72.1%1tau
72.1%1(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes14.0ms (0.1%)

Memory
-12.7MiB live, 25.5MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(*.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 #s(literal -1/6 binary32) (*.f32 tau tau))))
Outputs
(fma.f32 (*.f32 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
Calls

4 calls:

6.0ms
(*.f32 x (PI.f32))
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
2.0ms
x
Results
AccuracySegmentsBranch
66.5%1x
66.5%1(*.f32 x (PI.f32))
66.5%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))))
66.5%1tau
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes9.0ms (0.1%)

Memory
21.3MiB live, 21.3MiB allocated
Counts
4 → 1
Calls
Call 1
Inputs
#s(literal 1 binary32)
(*.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 (*.f32 x x) (PI.f32)) (*.f32 (PI.f32) #s(literal -1/6 binary32)) #s(literal 1 binary32))
Outputs
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
Calls

4 calls:

2.0ms
(*.f32 x (PI.f32))
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
tau
2.0ms
x
Results
AccuracySegmentsBranch
66.5%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))))
66.5%1x
66.5%1tau
66.5%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

regimes9.0ms (0.1%)

Memory
-21.7MiB live, 16.6MiB allocated
Accuracy

Total -19.9b remaining (-181%)

Threshold costs -19.9b (-181%)

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

4 calls:

4.0ms
x
2.0ms
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
2.0ms
(*.f32 x (PI.f32))
1.0ms
tau
Results
AccuracySegmentsBranch
65.6%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))))
65.6%1tau
65.6%1x
65.6%1(*.f32 x (PI.f32))
Compiler

Compiled 34 to 18 computations (47.1% saved)

simplify145.0ms (0.9%)

Memory
-18.1MiB live, 74.9MiB allocated
Algorithm
1×egg-herbie
Rules
876×neg-mul-1_binary32
794×distribute-lft-neg-in_binary32
680×distribute-lft-neg-out_binary32
652×unsub-neg_binary32
616×neg-sub0_binary32
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0119452
1194452
2214452
3248450
4286450
5359450
6460450
7740450
81451450
92073450
102612450
113114450
123478450
133522450
143532450
153533450
163619450
173636450
183643450
193644450
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x 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 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(fma.f32 (*.f32 x (*.f32 x (PI.f32))) (*.f32 (PI.f32) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(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 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)
Outputs
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (PI.f32))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (neg.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 (*.f32 x (PI.f32)) (neg.f32 x))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 (*.f32 (PI.f32) tau) (*.f32 x (*.f32 x (PI.f32)))))
(/.f32 (*.f32 (sin.f32 (*.f32 x (PI.f32))) (sin.f32 (*.f32 x (*.f32 (PI.f32) tau)))) (*.f32 x (*.f32 (PI.f32) (*.f32 x (*.f32 (PI.f32) tau)))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x tau))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (*.f32 (PI.f32) tau) (PI.f32))))) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (sin.f32 (*.f32 x (PI.f32))) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.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 (PI.f32) (*.f32 tau (*.f32 x x))))))
(*.f32 (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 #s(literal -1/6 binary32) (PI.f32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 tau (PI.f32)))) x) (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))))
(*.f32 (sin.f32 (*.f32 (PI.f32) (*.f32 x tau))) (/.f32 (fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (/.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))) tau) (/.f32 (*.f32 (PI.f32) #s(literal -1/6 binary32)) tau)) (/.f32 #s(literal 1 binary32) (*.f32 (PI.f32) tau))) x))
(*.f32 (/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 (*.f32 x (PI.f32)) tau)) (fma.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 x x) #s(literal -1/6 binary32)) #s(literal 1 binary32)))
(*.f32 (sin.f32 (*.f32 x (*.f32 (PI.f32) tau))) (/.f32 (fma.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 x (*.f32 x #s(literal -1/6 binary32)))) #s(literal 1 binary32)) (*.f32 x (*.f32 (PI.f32) tau))))
(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 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 x (*.f32 x (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 (*.f32 x x) (*.f32 (*.f32 (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.f32 tau tau) #s(literal 1/36 binary32)) #s(literal 1/120 binary32)) (*.f32 (PI.f32) (PI.f32))) (*.f32 (PI.f32) (PI.f32))) (*.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 (*.f32 (PI.f32) (PI.f32)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 (*.f32 tau tau) (fma.f32 #s(literal 1/120 binary32) (*.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 (*.f32 x x) (*.f32 #s(literal 1/120 binary32) (*.f32 (*.f32 tau tau) (*.f32 tau tau)))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (*.f32 (PI.f32) (PI.f32))) (*.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 tau (*.f32 (*.f32 (*.f32 (*.f32 tau tau) #s(literal 1/120 binary32)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32)))))) (*.f32 x x)) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (fma.f32 tau (*.f32 (*.f32 x x) (*.f32 (*.f32 #s(literal 1/120 binary32) (*.f32 tau tau)) (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) (*.f32 (PI.f32) (PI.f32))))))) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 tau (*.f32 tau #s(literal -1/6 binary32)) #s(literal -1/6 binary32)))) #s(literal 1 binary32))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 tau (PI.f32)))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 x (*.f32 #s(literal -1/6 binary32) (*.f32 (PI.f32) (PI.f32)))) #s(literal 1 binary32)))
(*.f32 (fma.f32 (*.f32 tau (*.f32 (PI.f32) (*.f32 (PI.f32) tau))) (*.f32 x (*.f32 x #s(literal -1/6 binary32))) #s(literal 1 binary32)) (fma.f32 x (*.f32 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) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) (fma.f32 #s(literal -1/6 binary32) (*.f32 tau tau) #s(literal -1/6 binary32))) #s(literal 1 binary32))
(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 (*.f32 (PI.f32) (PI.f32)) x) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x (*.f32 (PI.f32) (PI.f32))) (*.f32 x #s(literal -1/6 binary32)) #s(literal 1 binary32))
(fma.f32 (*.f32 x x) (*.f32 (*.f32 (PI.f32) (PI.f32)) #s(literal -1/6 binary32)) #s(literal 1 binary32))
#s(literal 1 binary32)

soundness2.3s (14.8%)

Memory
72.8MiB live, 1 632.5MiB allocated
Rules
18 368×lower-fma.f64
18 368×lower-fma.f32
16 966×lower-fma.f64
16 966×lower-fma.f32
12 544×lower-fma.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01961582
16201562
224131538
341451538
448801538
555601538
659501538
759811538
859811538
088261486
039293
076285
1304267
22465255
08365253
01055
01855
16355
248353
3648553
0811453
049286
098276
1329249
22313240
08265236
04045960
113775843
255675639
082895461
04866997
115806775
261886724
082936427
048298
097280
1376248
22374247
08894244
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
1×iter limit
1×iter limit
1×node limit
Compiler

Compiled 781 to 320 computations (59% saved)

preprocess212.0ms (1.4%)

Memory
-5.1MiB live, 185.0MiB allocated
Remove

(abs x)

(abs tau)

Compiler

Compiled 1 870 to 640 computations (65.8% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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