VandenBroeck and Keller, Equation (6)

Time bar (total: 15.9s)

analyze216.0ms (1.4%)

Memory
3.6MiB live, 302.9MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
0%0%99.9%0.1%0%0%0%1
0%0%99.9%0.1%0%0%0%2
0%0%99.9%0.1%0%0%0%3
0%0%99.9%0.1%0%0%0%4
0%0%99.9%0.1%0%0%0%5
0%0%99.9%0.1%0%0%0%6
21.9%21.9%78%0.1%0%0%0%7
23.4%23.4%76.5%0.1%0%0%0%8
35.2%35.1%64.8%0.1%0%0%0%9
36.3%36.3%63.6%0.1%0%0%0%10
42.4%42.3%57.6%0.1%0%0%0%11
43.1%43%56.9%0.1%0%0%0%12
Compiler

Compiled 16 to 12 computations (25% saved)

sample4.9s (30.8%)

Memory
98.4MiB live, 4 560.7MiB allocated
Samples
3.7s3 756×1valid
354.0ms4 446×0valid
170.0ms54×2valid
1.0ms3×4exit
Precisions
Click to see histograms. Total time spent on operations: 3.9s
ival-tan: 3.4s (86.4% of total)
ival-mult: 247.0ms (6.3% of total)
ival-div: 85.0ms (2.2% of total)
ival-pi: 68.0ms (1.7% of total)
adjust: 65.0ms (1.7% of total)
ival-sub: 52.0ms (1.3% of total)
exact: 8.0ms (0.2% of total)
ival-true: 6.0ms (0.2% of total)
ival-assert: 3.0ms (0.1% of total)
Bogosity

preprocess98.0ms (0.6%)

Memory
11.3MiB live, 60.8MiB allocated
Algorithm
1×egg-herbie
Rules
602×times-frac
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02674
17862
223760
364160
4112460
5151760
6175560
7180860
8181860
01014
12312
25712
313412
421212
532412
639412
747712
858712
965812
1072612
1176212
076212
Stop Event
1×iter limit
1×saturated
1×saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
Symmetry

(abs F)

(negabs l)

explain488.0ms (3.1%)

Memory
33.7MiB live, 703.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1270-0-(tan.f64 (*.f64 (PI.f64) l))
490-0-(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
10-0-(/.f64 #s(literal 1 binary64) (*.f64 F F))
00-0-(*.f64 (PI.f64) l)
00-0-#s(literal 1 binary64)
00-0-(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
00-0-(*.f64 F F)
00-0-l
00-0-F
00-0-(PI.f64)
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
tan.f64(tan.f64 (*.f64 (PI.f64) l))sensitivity1260
*.f64(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))n*o100
tan.f64(tan.f64 (*.f64 (PI.f64) l))oflow-rescue10
↳(*.f64 (PI.f64) l)overflow1
Confusion
Predicted +Predicted -
+620
-75119
Precision
0.45255474452554745
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+6200
-750119
Precision?
0.45255474452554745
Recall?
1.0
Freqs
test
numberfreq
0119
1137
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
216.0ms94×2valid
122.0ms144×1valid
38.0ms10×3valid
20.0ms264×0valid
Compiler

Compiled 122 to 44 computations (63.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 372.0ms
ival-tan: 334.0ms (89.9% of total)
ival-mult: 17.0ms (4.6% of total)
adjust: 6.0ms (1.6% of total)
ival-div: 5.0ms (1.3% of total)
ival-pi: 4.0ms (1.1% of total)
ival-sub: 4.0ms (1.1% of total)
exact: 1.0ms (0.3% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Memory
2.5MiB live, 2.5MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶77.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

simplify32.0ms (0.2%)

Memory
-10.6MiB live, 25.4MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
Rules
336×accelerator-lowering-fma.f32
336×accelerator-lowering-fma.f64
256×*-lowering-*.f32
256×*-lowering-*.f64
138×div-sub
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01043
12339
25739
313439
421239
532439
639439
747739
858739
965839
1072639
1176239
076239
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/ 1 (* F F))
1
(* F F)
F
(tan (* (PI) l))
Outputs
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (tan (* (PI) l)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))

localize239.0ms (1.5%)

Memory
-11.2MiB live, 314.1MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy99.7%
(/.f64 #s(literal 1 binary64) (*.f64 F F))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy81.3%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
Samples
113.0ms47×2valid
80.0ms72×1valid
16.0ms5×3valid
10.0ms132×0valid
Compiler

Compiled 45 to 12 computations (73.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 206.0ms
ival-tan: 185.0ms (89.6% of total)
ival-mult: 9.0ms (4.4% of total)
adjust: 6.0ms (2.9% of total)
ival-div: 3.0ms (1.5% of total)
ival-pi: 2.0ms (1% of total)
ival-sub: 2.0ms (1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series14.0ms (0.1%)

Memory
6.0MiB live, 44.8MiB allocated
Counts
6 → 84
Calls
Call 1
Inputs
#<alt (* (/ 1 (* F F)) (tan (* (PI) l)))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (tan (* (PI) l))>
#<alt (/ 1 (* F F))>
Outputs
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
#<alt (/ 1 (pow F 2))>
Calls

21 calls:

TimeVariablePointExpression
4.0ms
l
@inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
3.0ms
F
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
2.0ms
l
@0
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@-inf
(* (/ 1 (* F F)) (tan (* (PI) l)))
1.0ms
l
@0
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))

rewrite354.0ms (2.2%)

Memory
-23.1MiB live, 525.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 686×accelerator-lowering-fma.f32
4 686×accelerator-lowering-fma.f64
3 978×*-lowering-*.f32
3 978×*-lowering-*.f64
2 176×/-lowering-/.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01037
16331
246031
3664531
0816731
Stop Event
1×iter limit
1×node limit
Counts
6 → 308
Calls
Call 1
Inputs
(* (/ 1 (* F F)) (tan (* (PI) l)))
(- (* (PI) l) (* (/ 1 (* F F)) (tan (* (PI) l))))
(* (PI) l)
(PI)
(tan (* (PI) l))
(/ 1 (* F F))
Outputs
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F))))
(/.f64 #s(literal -1 binary64) (*.f64 (neg.f64 (*.f64 F F)) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F))
(/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
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(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 #s(literal -1 binary64) (log.f64 (*.f64 F F))))
(exp.f64 (neg.f64 (log.f64 (*.f64 F F))))
(exp.f64 (*.f64 (log.f64 F) #s(literal -2 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(neg.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) F)
(/.f64 (/.f64 #s(literal 1 binary64) F) (neg.f64 (neg.f64 F)))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal -1 binary64) F) #s(literal 1 binary64)) (neg.f64 F))
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (neg.f64 F))
(pow.f64 F #s(literal -2 binary64))
(pow.f64 (*.f64 F F) #s(literal -1 binary64))
(pow.f64 (/.f64 #s(literal 1 binary64) F) #s(literal 2 binary64))
(pow.f64 (*.f64 F (*.f64 F (*.f64 F F))) #s(literal -1/2 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal -1 binary64))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal -1 binary64) F))

simplify708.0ms (4.4%)

Memory
3.8MiB live, 959.7MiB allocated
Algorithm
1×egg-herbie
Rules
17 378×accelerator-lowering-fma.f32
17 378×accelerator-lowering-fma.f64
6 854×*-lowering-*.f32
6 854×*-lowering-*.f64
2 798×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01491418
14321331
214501227
369161158
085051124
Stop Event
1×iter limit
1×node limit
Counts
84 → 84
Calls
Call 1
Inputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
(/ 1 (pow F 2))
Outputs
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 l (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) l)) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (neg.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F))))) (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F)) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal -1/3 binary64))) (*.f64 F F))) (PI.f64)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (/.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 F F)) #s(literal -1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (/.f64 #s(literal -1/2 binary64) (*.f64 F F))) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/72 binary64))) (*.f64 F F)))) (neg.f64 (/.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 F F)))))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (fma.f64 (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 #s(literal -1/72 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 #s(literal 1/720 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))))) (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) #s(literal -1/30 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))))) (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
(/ 1 (pow F 2))
(/.f64 #s(literal 1 binary64) (*.f64 F F))

eval59.0ms (0.4%)

Memory
3.3MiB live, 160.1MiB allocated
Compiler

Compiled 12 757 to 1 240 computations (90.3% saved)

prune62.0ms (0.4%)

Memory
1.0MiB live, 171.6MiB allocated
Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New46115476
Fresh000
Picked101
Done000
Total46215477
Accuracy
99.7%
Counts
477 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶80.6%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
76.9%
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
▶76.9%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
76.7%
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
69.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
77.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
▶69.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
76.9%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
77.0%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
69.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
▶75.4%
(*.f64 l (PI.f64))
Compiler

Compiled 508 to 314 computations (38.2% saved)

simplify297.0ms (1.9%)

Memory
5.4MiB live, 200.9MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(tan.f64 (*.f64 (PI.f64) l))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff320
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓cost-diff320
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (PI.f64))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
✓cost-diff384
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
Rules
5 060×accelerator-lowering-fma.f32
5 060×accelerator-lowering-fma.f64
1 752×div-sub
1 586×*-lowering-*.f32
1 586×*-lowering-*.f64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
026199
161195
2168187
3464187
4882187
51489187
62064187
72860187
83716187
94370187
104565187
114999187
125544187
137192187
08070187
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l))))
(/ (sin (* (PI) l)) F)
(sin (* (PI) l))
F
(* F (cos (* (PI) l)))
(cos (* (PI) l))
(* l (PI))
l
(PI)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (PI) l)
(PI)
l
(* (/ 1 (* F F)) (* l (PI)))
(/ 1 (* F F))
1
(* F F)
F
(* l (PI))
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
(* (PI) l)
(PI)
l
F
(/ -1 F)
-1
(/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
1
(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(* (PI) l)
(PI)
l
(/ (tan (* (PI) l)) (* F F))
(tan (* (PI) l))
(* F F)
F
Outputs
(- (* (PI) l) (/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/ (sin (* (PI) l)) F)
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)
(sin (* (PI) l))
(sin.f64 (*.f64 (PI.f64) l))
F
(* F (cos (* (PI) l)))
(*.f64 F (cos.f64 (*.f64 (PI.f64) l)))
(cos (* (PI) l))
(cos.f64 (*.f64 (PI.f64) l))
(* l (PI))
(*.f64 (PI.f64) l)
l
(PI)
(PI.f64)
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* (/ 1 (* F F)) (* l (PI)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
(/ 1 (* F F))
(/.f64 #s(literal 1 binary64) (*.f64 F F))
1
#s(literal 1 binary64)
(* F F)
(*.f64 F F)
F
(* l (PI))
(*.f64 (PI.f64) l)
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/ (tan (* (PI) l)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
F
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
-1
#s(literal -1 binary64)
(/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
1
#s(literal 1 binary64)
(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (tan (* (PI) l)) (* F F))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
(* F F)
(*.f64 F F)
F

localize425.0ms (2.7%)

Memory
0.4MiB live, 551.2MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy98.9%
(/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
✓accuracy81.3%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.9%
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
✓accuracy99.6%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy90.8%
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64)))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy99.8%
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy56.7%
(cos.f64 (*.f64 (PI.f64) l))
✓accuracy52.7%
(sin.f64 (*.f64 (PI.f64) l))
Samples
174.0ms47×2valid
132.0ms73×1valid
41.0ms4×3valid
27.0ms132×0valid
Compiler

Compiled 200 to 28 computations (86% saved)

Precisions
Click to see histograms. Total time spent on operations: 347.0ms
ival-tan: 154.0ms (44.3% of total)
ival-sin: 130.0ms (37.4% of total)
ival-div: 20.0ms (5.8% of total)
ival-mult: 17.0ms (4.9% of total)
ival-cos: 10.0ms (2.9% of total)
adjust: 7.0ms (2% of total)
ival-sub: 5.0ms (1.4% of total)
ival-pi: 2.0ms (0.6% of total)
ival-add: 2.0ms (0.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series39.0ms (0.2%)

Memory
-19.4MiB live, 57.5MiB allocated
Counts
17 → 324
Calls
Call 1
Inputs
#<alt (/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l))))>
#<alt (- (* (PI) l) (/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l)))))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (* l (PI))>
#<alt (- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))>
#<alt (* (/ 1 (* F F)) (* l (PI)))>
#<alt (+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (tan (* (PI) l))>
#<alt (/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))>
#<alt (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))>
#<alt (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))>
#<alt (sin (* (PI) l))>
#<alt (cos (* (PI) l))>
#<alt (/ (sin (* (PI) l)) F)>
#<alt (/ (tan (* (PI) l)) (* F F))>
Outputs
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (* l (PI))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
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#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
Calls

81 calls:

TimeVariablePointExpression
5.0ms
l
@0
(- (* (PI) l) (/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l)))))
4.0ms
l
@-inf
(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
2.0ms
l
@0
(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
2.0ms
l
@inf
(/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l))))
1.0ms
l
@0
(/ (tan (* (PI) l)) F)

rewrite403.0ms (2.5%)

Memory
6.2MiB live, 609.0MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 480×*-lowering-*.f32
6 480×*-lowering-*.f64
4 016×/-lowering-/.f32
4 016×/-lowering-/.f64
3 378×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026161
1169125
21558125
08884125
Stop Event
1×iter limit
1×node limit
Counts
17 → 705
Calls
Call 1
Inputs
(/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l))))
(- (* (PI) l) (/ (/ (sin (* (PI) l)) F) (* F (cos (* (PI) l)))))
(* (PI) l)
(PI)
(* l (PI))
(- (* (PI) l) (* (/ 1 (* F F)) (* l (PI))))
(* (/ 1 (* F F)) (* l (PI)))
(+ (* (/ (tan (* (PI) l)) F) (/ -1 F)) (* (PI) l))
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
(/ 1 (/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))))
(/ 1 (- (* (PI) l) (/ (tan (* (PI) l)) (* F F))))
(- (* (PI) l) (/ (tan (* (PI) l)) (* F F)))
(sin (* (PI) l))
(cos (* (PI) l))
(/ (sin (* (PI) l)) F)
(/ (tan (* (PI) l)) (* F F))
Outputs
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F F)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 F F))
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 (neg.f64 F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (*.f64 F F))))
(/.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) (neg.f64 F))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) F)
(/.f64 (*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) (neg.f64 F))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) F) #s(literal -1 binary64))
(pow.f64 (*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) #s(literal -1 binary64))
(pow.f64 (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)) #s(literal -1 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F))
(*.f64 (pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(+.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) (*.f64 (PI.f64) l))
(exp.f64 (log.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))) #s(literal 1 binary64)))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64)) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 1 binary64)))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) (*.f64 (PI.f64) l))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (PI.f64) l (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (PI.f64) l (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 l (PI.f64) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 l (PI.f64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (*.f64 (PI.f64) l) #s(literal 1 binary64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(literal 1 binary64) l) (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (*.f64 #s(literal 1 binary64) l) (PI.f64) (*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))))
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(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) F)
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 F)))
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(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (sin.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
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(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
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(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (sin.f64 (*.f64 (PI.f64) l))))
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(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
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(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F)))
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(*.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) F))
(*.f64 (pow.f64 (/.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (pow.f64 (/.f64 (*.f64 F F) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))

simplify375.0ms (2.4%)

Memory
20.5MiB live, 877.2MiB allocated
Algorithm
1×egg-herbie
Rules
8 392×accelerator-lowering-fma.f32
8 392×accelerator-lowering-fma.f64
7 400×*-lowering-*.f32
7 400×*-lowering-*.f64
2 058×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04936440
115736139
258995801
082135663
Stop Event
1×iter limit
1×node limit
Counts
324 → 324
Calls
Call 1
Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
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(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
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(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (* l (- (* -1 (PI)) (* -1 (/ (PI) (pow F 2))))))
(* -1 (/ (* l (PI)) (pow F 2)))
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(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))
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(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
Outputs
(/ (* l (PI)) (pow F 2))
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal -1/3 binary64))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F F))))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal -1/3 binary64))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (/.f64 #s(literal -1/720 binary64) (*.f64 F F)) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal 1/5040 binary64)) (*.f64 F F))))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64)))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal -1/3 binary64))) (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* l (PI))
(*.f64 l (PI.f64))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
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(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (*.f64 l (*.f64 F F))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (cos.f64 (*.f64 l (PI.f64))) (neg.f64 (*.f64 F F))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
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(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(-.f64 (*.f64 l (PI.f64)) (/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64))))))
(* l (PI))
(*.f64 l (PI.f64))
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(* l (PI))
(*.f64 l (PI.f64))
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(* l (PI))
(*.f64 l (PI.f64))
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(*.f64 l (PI.f64))
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(*.f64 l (-.f64 (/.f64 (PI.f64) (*.f64 F F)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) #s(literal -1/3 binary64))))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (-.f64 (fma.f64 #s(literal -1/5040 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) (*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 #s(literal 1/3 binary64) (*.f64 (PI.f64) (PI.f64)))) (*.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) (*.f64 F F)) #s(literal 1/30 binary64))) (*.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64))))) (fma.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (/.f64 (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)) (*.f64 F F))))) (/.f64 (fma.f64 #s(literal 1/120 binary64) (pow.f64 (PI.f64) #s(literal 5 binary64)) (fma.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)) (*.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/24 binary64)))) (*.f64 F F))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))

eval264.0ms (1.7%)

Memory
50.0MiB live, 549.6MiB allocated
Compiler

Compiled 35 885 to 2 663 computations (92.6% saved)

prune149.0ms (0.9%)

Memory
-62.7MiB live, 442.4MiB allocated
Pruning

19 alts after pruning (18 fresh and 1 done)

PrunedKeptTotal
New1 560141 574
Fresh6410
Picked415
Done000
Total1 570191 589
Accuracy
99.8%
Counts
1 589 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
73.1%
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
▶80.6%
(fma.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
76.9%
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
57.9%
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
28.5%
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
75.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
73.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
▶80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
80.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
73.1%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
69.4%
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
▶69.4%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
69.5%
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
69.5%
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
▶75.0%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓75.4%
(*.f64 l (PI.f64))
▶21.0%
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
Compiler

Compiled 617 to 374 computations (39.4% saved)

simplify274.0ms (1.7%)

Memory
18.4MiB live, 293.6MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)
✓cost-diff0
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓cost-diff0
(/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F)
✓cost-diff576
(fma.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
✓cost-diff0
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
✓cost-diff0
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓cost-diff0
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓cost-diff0
(*.f64 F F)
✓cost-diff0
(/.f64 #s(literal -1 binary64) (*.f64 F F))
✓cost-diff0
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓cost-diff0
(PI.f64)
✓cost-diff0
(/.f64 (PI.f64) (*.f64 F F))
✓cost-diff0
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
✓cost-diff0
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓cost-diff384
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
Rules
6 090×accelerator-lowering-fma.f32
6 090×accelerator-lowering-fma.f64
2 154×*-lowering-*.f32
2 154×*-lowering-*.f64
1 406×+-lowering-+.f64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
029224
163224
2137223
3274222
4529220
5997220
61402220
72074220
82725220
93284220
103922220
114811220
125682220
137038220
08106220
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
l
(/ (/ (tan (* (PI) l)) F) F)
(/ (tan (* (PI) l)) F)
(tan (* (PI) l))
F
(neg (* l (/ (PI) (* F F))))
(* l (/ (PI) (* F F)))
l
(/ (PI) (* F F))
(PI)
(* F F)
F
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(+ (/ -1 (* F F)) 1)
(/ -1 (* F F))
-1
(* F F)
F
1
(* (PI) l)
(PI)
l
(* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))
l
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
(+ (* (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) (/ -1 F)) (* (PI) l))
(/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)
(tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
l
F
(/ -1 F)
-1
(* (PI) l)
Outputs
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (tan (* (PI) l)) F) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/ (tan (* (PI) l)) F)
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(tan (* (PI) l))
(tan.f64 (*.f64 (PI.f64) l))
F
(neg (* l (/ (PI) (* F F))))
(neg.f64 (/.f64 (*.f64 (PI.f64) l) (*.f64 F F)))
(* l (/ (PI) (* F F)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
l
(/ (PI) (* F F))
(/.f64 (PI.f64) (*.f64 F F))
(PI)
(PI.f64)
(* F F)
(*.f64 F F)
F
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (/ -1 (* F F)) 1)
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64))
(/ -1 (* F F))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
-1
#s(literal -1 binary64)
(* F F)
(*.f64 F F)
F
1
#s(literal 1 binary64)
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
l
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(+ (* (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) (/ -1 F)) (* (PI) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) (*.f64 F F)))
(/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)
(/.f64 (tan.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))) F)
(tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))
(tan.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
l
F
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
-1
#s(literal -1 binary64)
(* (PI) l)
(*.f64 (PI.f64) l)

localize517.0ms (3.2%)

Memory
5.7MiB live, 499.5MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy52.6%
(tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))
✓accuracy100.0%
(PI.f64)
✓accuracy99.5%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy100.0%
(+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64))
✓accuracy99.7%
(/.f64 #s(literal -1 binary64) (*.f64 F F))
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy96.3%
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓accuracy100.0%
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 (PI.f64) (*.f64 F F))
✓accuracy90.9%
(*.f64 l (/.f64 (PI.f64) (*.f64 F F)))
✓accuracy99.9%
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
✓accuracy99.8%
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy52.6%
(tan.f64 (*.f64 (PI.f64) l))
Samples
186.0ms47×2valid
142.0ms72×1valid
60.0ms5×3valid
31.0ms132×0valid
Compiler

Compiled 225 to 31 computations (86.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 354.0ms
ival-tan: 284.0ms (80.3% of total)
ival-mult: 26.0ms (7.3% of total)
ival-div: 16.0ms (4.5% of total)
ival-sqrt: 10.0ms (2.8% of total)
adjust: 6.0ms (1.7% of total)
ival-pi: 3.0ms (0.8% of total)
ival-add: 3.0ms (0.8% of total)
ival-sub: 2.0ms (0.6% of total)
ival-neg: 2.0ms (0.6% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series64.0ms (0.4%)

Memory
-21.3MiB live, 15.3MiB allocated
Counts
22 → 300
Calls
Call 1
Inputs
#<alt (/ (/ (tan (* (PI) l)) F) F)>
#<alt (- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))>
#<alt (* (PI) l)>
#<alt (PI)>
#<alt (neg (* l (/ (PI) (* F F))))>
#<alt (* l (/ (PI) (* F F)))>
#<alt (/ (PI) (* F F))>
#<alt (* (+ (/ -1 (* F F)) 1) (* (PI) l))>
#<alt (+ (/ -1 (* F F)) 1)>
#<alt (/ -1 (* F F))>
#<alt (* F F)>
#<alt (* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))>
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))>
#<alt (sqrt (* (PI) (sqrt (PI))))>
#<alt (* (PI) (sqrt (PI)))>
#<alt (+ (* (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) (/ -1 F)) (* (PI) l))>
#<alt (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)>
#<alt (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))>
#<alt (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)>
#<alt (tan (* (PI) l))>
#<alt (/ (tan (* (PI) l)) F)>
#<alt (sqrt (PI))>
Outputs
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (/ -1 (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt 1>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt 1>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (pow F 2)>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (PI) (pow F 2)))))>
#<alt (* l (+ (PI) (+ (* -1 (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* -1 (/ (PI) (pow F 2))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))>
#<alt (* l (+ (PI) (+ (* -1 (/ (PI) (pow F 2))) (* (pow l 2) (+ (* -1 (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (* (pow l 2) (+ (* -1 (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (* -1 (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))))))))))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (/ (sin (* l (PI))) (cos (* l (PI))))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (sin (* l (PI))) (cos (* l (PI))))>
#<alt (/ (* l (PI)) F)>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* F (cos (* l (PI)))))>
Calls

75 calls:

TimeVariablePointExpression
54.0ms
F
@inf
(* F F)
1.0ms
l
@0
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
0.0ms
F
@inf
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
0.0ms
F
@0
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
0.0ms
l
@inf
(* (+ (/ -1 (* F F)) 1) (* (PI) l))

rewrite547.0ms (3.4%)

Memory
10.8MiB live, 370.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 898×*-lowering-*.f32
4 898×*-lowering-*.f64
4 522×/-lowering-/.f32
4 522×/-lowering-/.f64
3 554×accelerator-lowering-fma.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
029148
1161115
21360114
08172114
Stop Event
1×iter limit
1×node limit
Counts
22 → 771
Calls
Call 1
Inputs
(/ (/ (tan (* (PI) l)) F) F)
(- (* (PI) l) (/ (/ (tan (* (PI) l)) F) F))
(* (PI) l)
(PI)
(neg (* l (/ (PI) (* F F))))
(* l (/ (PI) (* F F)))
(/ (PI) (* F F))
(* (+ (/ -1 (* F F)) 1) (* (PI) l))
(+ (/ -1 (* F F)) 1)
(/ -1 (* F F))
(* F F)
(* l (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(+ (* (/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F) (/ -1 F)) (* (PI) l))
(/ (tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)) F)
(tan (* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l))
(* (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) l)
(tan (* (PI) l))
(/ (tan (* (PI) l)) F)
(sqrt (PI))
Outputs
(exp.f64 (*.f64 (log.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 F (neg.f64 F))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (neg.f64 (neg.f64 F)))
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal 1 binary64))))
(/.f64 #s(literal 1 binary64) (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))))
(/.f64 (/.f64 #s(literal -1 binary64) F) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F)))
(/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 F (tan.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 F))
(/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (neg.f64 (neg.f64 (neg.f64 F))))
(/.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64)) F)
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 F F))
(/.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) (*.f64 F (neg.f64 F)))
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (*.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 (*.f64 F F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (neg.f64 (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal 1 binary64))) (neg.f64 F))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))) (*.f64 F (neg.f64 F)))
(/.f64 (neg.f64 (*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64))) (neg.f64 (*.f64 F (neg.f64 F))))
(pow.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F F) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (*.f64 F (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (pow.f64 (/.f64 F (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))) F))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(*.f64 (/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 F F)))
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 F (sin.f64 (*.f64 (PI.f64) l)))) (/.f64 (/.f64 #s(literal 1 binary64) F) (cos.f64 (*.f64 (PI.f64) l))))
(+.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(+.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(-.f64 (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))))
(-.f64 (/.f64 (*.f64 (*.f64 (PI.f64) l) (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)))) (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 3 binary64)) (fma.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l)) (*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))) (/.f64 (pow.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 l (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 (/.f64 #s(literal 1 binary64) F) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) #s(literal -1 binary64) (*.f64 (PI.f64) l))
(fma.f64 #s(literal -1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
(fma.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))) (*.f64 (PI.f64) l))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
(fma.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 #s(literal 1 binary64) F) (/.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l)))) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) #s(literal -1 binary64)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (PI.f64) l))
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(pow.f64 (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (PI.f64) l)
(*.f64 l (PI.f64))
(*.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (PI.f64)) (*.f64 (sqrt.f64 (PI.f64)) l))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (*.f64 (cbrt.f64 (PI.f64)) l))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (PI.f64)))
(*.f64 (*.f64 l #s(literal 1 binary64)) (PI.f64))
(*.f64 (*.f64 l (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(tan.f64 (*.f64 (PI.f64) l))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal 1 binary64) (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (/.f64 (cos.f64 (*.f64 (PI.f64) l)) (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(exp.f64 (*.f64 (log.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -1 binary64)))
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 F)) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (tan.f64 (*.f64 (PI.f64) l)) F)
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l)))))
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(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (neg.f64 F))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F))
(/.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64)) F)
(/.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l)))) (neg.f64 (neg.f64 F)))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (neg.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (neg.f64 (*.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))) (neg.f64 F))
(/.f64 (neg.f64 (neg.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))))) (neg.f64 (neg.f64 (neg.f64 F))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) F)))
(/.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))) (neg.f64 (cos.f64 (*.f64 (PI.f64) l))))
(pow.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64))
(pow.f64 (/.f64 (/.f64 F (tan.f64 (*.f64 (PI.f64) l))) #s(literal 1 binary64)) #s(literal -1 binary64))
(*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal 1 binary64) F))
(*.f64 #s(literal 1 binary64) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F))
(*.f64 (neg.f64 (tan.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal -1 binary64) F))
(*.f64 (/.f64 #s(literal 1 binary64) F) (tan.f64 (*.f64 (PI.f64) l)))
(*.f64 (/.f64 #s(literal 1 binary64) F) (pow.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)))
(*.f64 (pow.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l))))
(*.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) F))
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(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(*.f64 #s(literal 1 binary64) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))

simplify793.0ms (5%)

Memory
7.0MiB live, 824.8MiB allocated
Algorithm
1×egg-herbie
Rules
14 422×accelerator-lowering-fma.f32
14 422×accelerator-lowering-fma.f64
5 328×+-lowering-+.f64
5 328×+-lowering-+.f32
5 128×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02293925
17033703
222633489
081853414
Stop Event
1×iter limit
1×node limit
Counts
300 → 300
Calls
Call 1
Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) (pow F 2))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2)))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) (pow F 2))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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Outputs
(/ (* l (PI)) (pow F 2))
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
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(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* (pow l 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)) (*.f64 (*.f64 l l) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (- (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (- (+ (* 1/120 (pow (PI) 5)) (* (pow l 2) (- (* -1/5040 (pow (PI) 7)) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (+ (* -1/720 (pow (PI) 7)) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5)))))) (* -1/2 (pow (PI) 3))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (fma.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) (*.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) #s(literal -1/720 binary64)))) (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))))) (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) (PI.f64)))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (sin (* l (PI))) (cos (* l (PI))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (cos.f64 (*.f64 l (PI.f64))))
(/ (* l (PI)) F)
(/.f64 (*.f64 l (PI.f64)) F)
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) F)) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (fma.f64 l (/.f64 (*.f64 l (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))) F) (/.f64 (PI.f64) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) F) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F)))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) F)) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) F)) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) F)) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* 1/120 (pow (PI) 5)) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3))))) (* 1/24 (pow (PI) 5))))) F)) (+ (* -1/720 (/ (pow (PI) 7) F)) (* 1/24 (/ (* (pow (PI) 4) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F))))))) (+ (* -1/2 (/ (* (pow (PI) 2) (- (* -1/6 (pow (PI) 3)) (* -1/2 (pow (PI) 3)))) F)) (* 1/24 (/ (pow (PI) 5) F)))))) (* -1/2 (/ (pow (PI) 3) F)))) (/ (PI) F)))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (-.f64 (/.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64))) F) (fma.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) (/.f64 (*.f64 (PI.f64) (PI.f64)) F)) (fma.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (/.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 (PI.f64) #s(literal 4 binary64))) F) (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) F))))) (/.f64 (fma.f64 (pow.f64 (PI.f64) #s(literal 5 binary64)) #s(literal -1/30 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64)))) F)) (/.f64 (*.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64)) F)) (/.f64 (PI.f64) F)))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* F (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 F (cos.f64 (*.f64 l (PI.f64)))))

eval248.0ms (1.6%)

Memory
19.2MiB live, 681.7MiB allocated
Compiler

Compiled 33 782 to 4 011 computations (88.1% saved)

prune221.0ms (1.4%)

Memory
5.2MiB live, 627.1MiB allocated
Pruning

19 alts after pruning (16 fresh and 3 done)

PrunedKeptTotal
New1 771131 784
Fresh10313
Picked325
Done011
Total1 784191 803
Accuracy
99.8%
Counts
1 803 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
21.0%
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
▶75.3%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
✓80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
▶80.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
24.6%
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
21.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
24.6%
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
24.6%
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l (/.f64 F (PI.f64))))
▶69.4%
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
75.4%
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
75.3%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
69.5%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
✓75.0%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓75.4%
(*.f64 l (PI.f64))
24.6%
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
▶21.0%
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
▶21.0%
(neg.f64 (*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))))
Compiler

Compiled 448 to 301 computations (32.8% saved)

simplify286.0ms (1.8%)

Memory
-1.3MiB live, 536.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓cost-diff0
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))
✓cost-diff0
(*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F)))
✓cost-diff0
(neg.f64 (*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))))
✓cost-diff0
(/.f64 #s(literal -1 binary64) F)
✓cost-diff0
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64))
✓cost-diff320
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓cost-diff384
(/.f64 (/.f64 #s(literal -1 binary64) F) F)
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 l (PI.f64))
✓cost-diff0
(/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
✓cost-diff1408
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
✓cost-diff0
(/.f64 l (*.f64 F F))
✓cost-diff0
(PI.f64)
✓cost-diff0
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
✓cost-diff0
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
✓cost-diff0
(*.f64 (PI.f64) l)
✓cost-diff0
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
✓cost-diff384
(/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
✓cost-diff1600
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
Rules
10 704×accelerator-lowering-fma.f32
10 704×accelerator-lowering-fma.f64
3 108×*-lowering-*.f32
3 108×*-lowering-*.f64
1 956×/-lowering-/.f32
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
033209
184209
2276209
3928208
42490207
53982207
65097207
77214207
08017207
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(- (* (PI) l) (/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l)))))
(* (PI) l)
(PI)
l
(/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l))))
(/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F)
(sin (* (* (sqrt (PI)) (sqrt (PI))) l))
(* (* (sqrt (PI)) (sqrt (PI))) l)
(* (sqrt (PI)) (sqrt (PI)))
(sqrt (PI))
F
(* F (cos (* (PI) l)))
(cos (* (PI) l))
(neg (* (PI) (/ l (* F F))))
(* (PI) (/ l (* F F)))
(PI)
(/ l (* F F))
l
(* F F)
F
(/ 1 (/ 1 (* l (PI))))
1
(/ 1 (* l (PI)))
(* l (PI))
l
(PI)
(* (+ (/ (/ -1 F) F) 1) (* (PI) l))
(+ (/ (/ -1 F) F) 1)
(/ (/ -1 F) F)
(/ -1 F)
-1
F
1
(* (PI) l)
(PI)
l
(neg (* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))))
(* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F)))
l
(/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sqrt (* (PI) (sqrt (PI))))
(* (PI) (sqrt (PI)))
(PI)
(sqrt (PI))
(sqrt (sqrt (PI)))
(* F F)
F
Outputs
(- (* (PI) l) (/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l))))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F)
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) F)
(sin (* (* (sqrt (PI)) (sqrt (PI))) l))
(sin.f64 (*.f64 (PI.f64) l))
(* (* (sqrt (PI)) (sqrt (PI))) l)
(*.f64 (PI.f64) l)
(* (sqrt (PI)) (sqrt (PI)))
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
F
(* F (cos (* (PI) l)))
(*.f64 F (cos.f64 (*.f64 (PI.f64) l)))
(cos (* (PI) l))
(cos.f64 (*.f64 (PI.f64) l))
(neg (* (PI) (/ l (* F F))))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F (neg.f64 F)))
(* (PI) (/ l (* F F)))
(/.f64 (*.f64 (PI.f64) l) (*.f64 F F))
(PI)
(PI.f64)
(/ l (* F F))
(/.f64 l (*.f64 F F))
l
(* F F)
(*.f64 F F)
F
(/ 1 (/ 1 (* l (PI))))
(*.f64 (PI.f64) l)
1
#s(literal 1 binary64)
(/ 1 (* l (PI)))
(/.f64 #s(literal 1 binary64) (*.f64 (PI.f64) l))
(* l (PI))
(*.f64 (PI.f64) l)
l
(PI)
(PI.f64)
(* (+ (/ (/ -1 F) F) 1) (* (PI) l))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(+ (/ (/ -1 F) F) 1)
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/ (/ -1 F) F)
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
-1
#s(literal -1 binary64)
F
1
#s(literal 1 binary64)
(* (PI) l)
(*.f64 (PI.f64) l)
(PI)
(PI.f64)
l
(neg (* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))))
(*.f64 (/.f64 l (*.f64 F F)) (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))))
(* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F)))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64))))) (*.f64 F F))
l
(/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (/.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (*.f64 F F)))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(sqrt (* (PI) (sqrt (PI))))
(sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))
(* (PI) (sqrt (PI)))
(*.f64 (PI.f64) (sqrt.f64 (PI.f64)))
(PI)
(PI.f64)
(sqrt (PI))
(sqrt.f64 (PI.f64))
(sqrt (sqrt (PI)))
(sqrt.f64 (sqrt.f64 (PI.f64)))
(* F F)
(*.f64 F F)
F

localize309.0ms (1.9%)

Memory
20.5MiB live, 630.3MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy99.6%
(/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))
✓accuracy98.4%
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy90.9%
(*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F)))
✓accuracy100.0%
(+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64))
✓accuracy99.8%
(/.f64 (/.f64 #s(literal -1 binary64) F) F)
✓accuracy99.5%
(*.f64 (PI.f64) l)
✓accuracy96.3%
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
✓accuracy100.0%
(PI.f64)
✓accuracy99.6%
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
✓accuracy99.5%
(*.f64 l (PI.f64))
✓accuracy99.3%
(/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64)))
✓accuracy100.0%
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
✓accuracy100.0%
(PI.f64)
✓accuracy99.8%
(*.f64 (PI.f64) (/.f64 l (*.f64 F F)))
✓accuracy90.8%
(/.f64 l (*.f64 F F))
✓accuracy98.4%
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
✓accuracy98.4%
(sqrt.f64 (PI.f64))
✓accuracy56.7%
(cos.f64 (*.f64 (PI.f64) l))
✓accuracy52.7%
(sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l))
Samples
116.0ms47×2valid
76.0ms72×1valid
33.0ms132×0valid
30.0ms5×3valid
Compiler

Compiled 239 to 35 computations (85.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 218.0ms
ival-sin: 123.0ms (56.4% of total)
ival-mult: 27.0ms (12.4% of total)
ival-div: 20.0ms (9.2% of total)
ival-sqrt: 18.0ms (8.3% of total)
ival-cos: 10.0ms (4.6% of total)
ival-sub: 7.0ms (3.2% of total)
adjust: 6.0ms (2.8% of total)
ival-neg: 4.0ms (1.8% of total)
ival-pi: 2.0ms (0.9% of total)
ival-add: 2.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series11.0ms (0.1%)

Memory
-19.9MiB live, 18.9MiB allocated
Counts
22 → 312
Calls
Call 1
Inputs
#<alt (* (sqrt (PI)) (sqrt (PI)))>
#<alt (/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l))))>
#<alt (- (* (PI) l) (/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l)))))>
#<alt (* (PI) l)>
#<alt (neg (* (PI) (/ l (* F F))))>
#<alt (* (PI) (/ l (* F F)))>
#<alt (PI)>
#<alt (/ l (* F F))>
#<alt (/ 1 (/ 1 (* l (PI))))>
#<alt (/ 1 (* l (PI)))>
#<alt (* l (PI))>
#<alt (/ (/ -1 F) F)>
#<alt (* (+ (/ (/ -1 F) F) 1) (* (PI) l))>
#<alt (+ (/ (/ -1 F) F) 1)>
#<alt (/ -1 F)>
#<alt (neg (* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))))>
#<alt (* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F)))>
#<alt (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))>
#<alt (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))>
#<alt (sin (* (* (sqrt (PI)) (sqrt (PI))) l))>
#<alt (cos (* (PI) l))>
#<alt (sqrt (PI))>
Outputs
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))>
#<alt (* l (- (PI) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* l (PI))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))>
#<alt (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (/ l (pow F 2))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (/ 1 (* l (PI)))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (* l (PI))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (/ -1 (pow F 2))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (PI))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (* l (* (PI) (- 1 (/ 1 (pow F 2)))))>
#<alt (/ -1 (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt (/ (- (pow F 2) 1) (pow F 2))>
#<alt 1>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt 1>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (- 1 (/ 1 (pow F 2)))>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (/ -1 F)>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (* -1 (/ (* l (PI)) (pow F 2)))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (* l (PI)) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (/ (PI) (pow F 2))>
#<alt (* l (PI))>
#<alt (* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3)))))>
#<alt (* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5)))))))>
#<alt (* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt (sin (* l (PI)))>
#<alt 1>
#<alt (+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4))))))>
#<alt (+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
#<alt (cos (* l (PI)))>
Calls

78 calls:

TimeVariablePointExpression
2.0ms
l
@0
(/ l (* F F))
0.0ms
l
@-inf
(/ l (* F F))
0.0ms
F
@0
(/ l (* F F))
0.0ms
l
@0
(/ 1 (* l (PI)))
0.0ms
l
@-inf
(/ 1 (* l (PI)))

rewrite328.0ms (2.1%)

Memory
2.4MiB live, 524.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 840×accelerator-lowering-fma.f32
4 840×accelerator-lowering-fma.f64
3 906×*-lowering-*.f32
3 906×*-lowering-*.f64
3 432×/-lowering-/.f32
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
033130
1183120
21626108
08476108
Stop Event
1×iter limit
1×node limit
Counts
22 → 1 242
Calls
Call 1
Inputs
(* (sqrt (PI)) (sqrt (PI)))
(/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l))))
(- (* (PI) l) (/ (/ (sin (* (* (sqrt (PI)) (sqrt (PI))) l)) F) (* F (cos (* (PI) l)))))
(* (PI) l)
(neg (* (PI) (/ l (* F F))))
(* (PI) (/ l (* F F)))
(PI)
(/ l (* F F))
(/ 1 (/ 1 (* l (PI))))
(/ 1 (* l (PI)))
(* l (PI))
(/ (/ -1 F) F)
(* (+ (/ (/ -1 F) F) 1) (* (PI) l))
(+ (/ (/ -1 F) F) 1)
(/ -1 F)
(neg (* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))))
(* l (/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F)))
(/ (* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI)))) (* F F))
(* (sqrt (* (PI) (sqrt (PI)))) (sqrt (sqrt (PI))))
(sin (* (* (sqrt (PI)) (sqrt (PI))) l))
(cos (* (PI) l))
(sqrt (PI))
Outputs
(PI.f64)
(log.f64 (exp.f64 (PI.f64)))
(log.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (neg.f64 (PI.f64)))))
(exp.f64 (log.f64 (PI.f64)))
(exp.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))) #s(literal 3 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/2 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/3 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 3/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (PI.f64))
(fabs.f64 (neg.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (PI.f64)))
(sqrt.f64 (*.f64 (PI.f64) (PI.f64)))
(cbrt.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))
(neg.f64 (neg.f64 (PI.f64)))
(/.f64 (PI.f64) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (PI.f64)))
(/.f64 (neg.f64 (PI.f64)) #s(literal -1 binary64))
(pow.f64 (PI.f64) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/2 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/3 binary64))
(pow.f64 (E.f64) (log.f64 (PI.f64)))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/4 binary64))
(pow.f64 (exp.f64 #s(literal 2 binary64)) (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(*.f64 (PI.f64) #s(literal 1 binary64))
(*.f64 (PI.f64) (log.f64 (E.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (PI.f64)) (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))))
(*.f64 #s(literal 1 binary64) (PI.f64))
(*.f64 #s(literal -1 binary64) (neg.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
(*.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (neg.f64 (cbrt.f64 (PI.f64))))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64))))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F))) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F))) (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(neg.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))))
(neg.f64 (*.f64 (neg.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F))) #s(literal 1 binary64)))
(neg.f64 (/.f64 (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) F))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))
(/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F)))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F F)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 F (sin.f64 (*.f64 (PI.f64) l))) (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 F) (neg.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))))
(/.f64 #s(literal 1 binary64) (/.f64 F (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (cos.f64 (*.f64 (PI.f64) l)))))
(/.f64 #s(literal -1 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) (*.f64 F (neg.f64 F))))
(/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (neg.f64 F)) (*.f64 (cos.f64 (*.f64 (PI.f64) l)) (neg.f64 F)))
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))) (/.f64 F (sin.f64 (*.f64 (PI.f64) l))))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (cos.f64 (*.f64 (PI.f64) l)))
(/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) (*.f64 F F)) (neg.f64 (neg.f64 (cos.f64 (*.f64 (PI.f64) l)))))
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(PI.f64)
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(*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (PI.f64)) (log.f64 (exp.f64 (sqrt.f64 (PI.f64)))))
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(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (log.f64 (exp.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))))
(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))))
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(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) (neg.f64 (neg.f64 (cbrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (neg.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (sqrt.f64 (PI.f64))) (neg.f64 (sqrt.f64 (PI.f64))))
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(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 3 binary64)) (pow.f64 (cbrt.f64 (cbrt.f64 (PI.f64))) #s(literal 3 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/2 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (pow.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64))) #s(literal 1/3 binary64)) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (pow.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/3 binary64)) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (exp.f64 (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64))))) (exp.f64 (*.f64 #s(literal 1/3 binary64) (log.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (cbrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (sqrt.f64 (PI.f64)))) (cbrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (cbrt.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (cbrt.f64 (PI.f64))))
(*.f64 (sqrt.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64))) (cbrt.f64 (PI.f64)))
(*.f64 (sqrt.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (pow.f64 (PI.f64) #s(literal 1/6 binary64)))
(*.f64 (fabs.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (fabs.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64))) (cbrt.f64 (PI.f64)))
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(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))) (*.f64 (cbrt.f64 (sqrt.f64 (PI.f64))) (cbrt.f64 (PI.f64))))
(*.f64 (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 (cbrt.f64 (PI.f64)) (cbrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (PI.f64)))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)))) (cbrt.f64 (PI.f64)))
(-.f64 #s(literal 0 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l))))
(sin.f64 (*.f64 (PI.f64) l))
(neg.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))))
(neg.f64 (sin.f64 (*.f64 l (neg.f64 (PI.f64)))))
(*.f64 (sin.f64 (*.f64 (PI.f64) l)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 (PI.f64) l)))
(*.f64 #s(literal -1 binary64) (neg.f64 (sin.f64 (*.f64 (PI.f64) l))))
(cos.f64 (*.f64 (PI.f64) l))
(cos.f64 (*.f64 l (neg.f64 (PI.f64))))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 (PI.f64) l)))
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))))
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 (PI.f64) (PI.f64))) #s(literal 1/4 binary64)))
(exp.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (PI.f64))) #s(literal 1/2 binary64))))
(fabs.f64 (sqrt.f64 (PI.f64)))
(fabs.f64 (neg.f64 (sqrt.f64 (PI.f64))))
(sqrt.f64 (PI.f64))
(pow.f64 (PI.f64) #s(literal 1/2 binary64))
(pow.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
(pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (PI.f64)) #s(literal 3/2 binary64))
(pow.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/4 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1/6 binary64))
(pow.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/8 binary64))
(*.f64 (sqrt.f64 (PI.f64)) #s(literal 1 binary64))
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(*.f64 (cbrt.f64 (PI.f64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (PI.f64)) (fabs.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64))))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/6 binary64)) (cbrt.f64 (PI.f64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 3/8 binary64)) (pow.f64 (PI.f64) #s(literal 1/8 binary64)))
(*.f64 (pow.f64 (PI.f64) #s(literal 1/8 binary64)) (pow.f64 (PI.f64) #s(literal 3/8 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1 binary64)))
(*.f64 (pow.f64 #s(literal 1 binary64) #s(literal 1/4 binary64)) (sqrt.f64 (PI.f64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (sqrt.f64 (sqrt.f64 (PI.f64))) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 (pow.f64 (PI.f64) #s(literal 4/3 binary64)) #s(literal 1/4 binary64)) (pow.f64 (pow.f64 (PI.f64) #s(literal 2/3 binary64)) #s(literal 1/4 binary64)))
(*.f64 (pow.f64 (*.f64 (PI.f64) (pow.f64 (PI.f64) #s(literal 2/3 binary64))) #s(literal 1/4 binary64)) (pow.f64 (cbrt.f64 (PI.f64)) #s(literal 1/4 binary64)))
(*.f64 (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (sqrt.f64 (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))))

simplify445.0ms (2.8%)

Memory
-15.8MiB live, 630.9MiB allocated
Algorithm
1×egg-herbie
Rules
15 810×accelerator-lowering-fma.f32
15 810×accelerator-lowering-fma.f64
6 634×*-lowering-*.f32
6 634×*-lowering-*.f64
2 428×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01662753
14922660
216622586
368132537
080912503
Stop Event
1×iter limit
1×node limit
Counts
312 → 312
Calls
Call 1
Inputs
(/ (* l (PI)) (pow F 2))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(* l (- (PI) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2)))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (- (+ (PI) (* (pow l 2) (- (+ (* -1/2 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (+ (* 1/24 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))))) (* -1/5040 (/ (pow (PI) 7) (pow F 2))))))) (* 1/120 (/ (pow (PI) 5) (pow F 2)))))) (* -1/6 (/ (pow (PI) 3) (pow F 2)))))) (/ (PI) (pow F 2))))
(* l (PI))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (+ (PI) (* -1 (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* l (PI))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (* l (+ (* -1 (PI)) (/ (sin (* l (PI))) (* (pow F 2) (* l (cos (* l (PI)))))))))
(* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI))))))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(/ (- (* (pow F 2) (* l (PI))) (/ (sin (* l (PI))) (cos (* l (PI))))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(+ (* -1 (/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))) (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(/ l (pow F 2))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(/ 1 (* l (PI)))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(* l (PI))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(/ -1 (pow F 2))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(/ (+ (* -1 (* l (PI))) (* (pow F 2) (* l (PI)))) (pow F 2))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (PI))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(/ -1 (pow F 2))
(/ (- (pow F 2) 1) (pow F 2))
(/ (- (pow F 2) 1) (pow F 2))
(/ (- (pow F 2) 1) (pow F 2))
1
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
1
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
(- 1 (/ 1 (pow F 2)))
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(/ -1 F)
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (* l (PI)) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(/ (PI) (pow F 2))
(* l (PI))
(* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3)))))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5)))))))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
(sin (* l (PI)))
1
(+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2))))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4))))))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
(cos (* l (PI)))
Outputs
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(* l (+ (* (pow l 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 l (/.f64 (*.f64 l (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64)))) (*.f64 F F)) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 F F)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(* l (+ (* (pow l 2) (- (+ (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* (pow l 2) (- (+ (* 1/120 (/ (pow (PI) 5) (pow F 2))) (* (pow l 2) (- (* -1/5040 (/ (pow (PI) 7) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* 1/120 (/ (pow (PI) 5) (pow F 2))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (+ (* -1/720 (/ (pow (PI) 7) (pow F 2))) (* 1/24 (* (pow (PI) 4) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))))))))) (+ (* -1/2 (* (pow (PI) 2) (- (* -1/6 (/ (pow (PI) 3) (pow F 2))) (* -1/2 (/ (pow (PI) 3) (pow F 2)))))) (* 1/24 (/ (pow (PI) 5) (pow F 2))))))) (* -1/2 (/ (pow (PI) 3) (pow F 2))))) (/ (PI) (pow F 2))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (neg.f64 (fma.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 F F)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F))))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (pow.f64 (PI.f64) #s(literal 7 binary64)) (*.f64 F F)) #s(literal -1/840 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F)) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64)))) #s(literal 1/72 binary64))))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64)) (*.f64 F F)) #s(literal -1/30 binary64) (*.f64 (*.f64 #s(literal 1/6 binary64) (*.f64 (PI.f64) (PI.f64))) (/.f64 (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))) (*.f64 F F))))) (/.f64 (*.f64 (PI.f64) (*.f64 (*.f64 (PI.f64) (PI.f64)) #s(literal 1/3 binary64))) (*.f64 F F))) (/.f64 (PI.f64) (*.f64 F F))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
(/.f64 (sin.f64 (*.f64 l (PI.f64))) (*.f64 (*.f64 F F) (cos.f64 (*.f64 l (PI.f64)))))
(/ (sin (* l (PI))) (* (pow F 2) (cos (* l (PI)))))
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(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(+ (* -1 (/ (* l (PI)) (pow F 2))) (* l (PI)))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(* l (* (PI) (- 1 (/ 1 (pow F 2)))))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/ -1 (pow F 2))
(/.f64 #s(literal -1 binary64) (*.f64 F F))
(/ (- (pow F 2) 1) (pow F 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/ (- (pow F 2) 1) (pow F 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/ (- (pow F 2) 1) (pow F 2))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
1
#s(literal 1 binary64)
(- 1 (/ 1 (pow F 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(- 1 (/ 1 (pow F 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(- 1 (/ 1 (pow F 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
1
#s(literal 1 binary64)
(- 1 (/ 1 (pow F 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(- 1 (/ 1 (pow F 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(- 1 (/ 1 (pow F 2)))
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 F F)))
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(/ -1 F)
(/.f64 #s(literal -1 binary64) F)
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(* -1 (/ (* l (PI)) (pow F 2)))
(/.f64 (*.f64 l (PI.f64)) (neg.f64 (*.f64 F F)))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (* l (PI)) (pow F 2))
(/.f64 (*.f64 l (PI.f64)) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(/ (PI) (pow F 2))
(/.f64 (PI.f64) (*.f64 F F))
(* l (PI))
(*.f64 l (PI.f64))
(* l (+ (PI) (* -1/6 (* (pow l 2) (pow (PI) 3)))))
(*.f64 l (fma.f64 (PI.f64) (*.f64 #s(literal -1/6 binary64) (*.f64 l (*.f64 l (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* 1/120 (* (pow l 2) (pow (PI) 5)))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64))) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
(* l (+ (PI) (* (pow l 2) (+ (* -1/6 (pow (PI) 3)) (* (pow l 2) (+ (* -1/5040 (* (pow l 2) (pow (PI) 7))) (* 1/120 (pow (PI) 5))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal -1/5040 binary64) (pow.f64 (PI.f64) #s(literal 7 binary64)))) (*.f64 #s(literal 1/120 binary64) (*.f64 (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))) (PI.f64))))) (*.f64 #s(literal -1/6 binary64) (*.f64 (PI.f64) (*.f64 (PI.f64) (PI.f64))))) (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
(sin (* l (PI)))
(sin.f64 (*.f64 l (PI.f64)))
1
#s(literal 1 binary64)
(+ 1 (* -1/2 (* (pow l 2) (pow (PI) 2))))
(fma.f64 (*.f64 l l) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* 1/24 (* (pow l 2) (pow (PI) 4))))))
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (PI.f64) (PI.f64))))) #s(literal 1 binary64))
(+ 1 (* (pow l 2) (+ (* -1/2 (pow (PI) 2)) (* (pow l 2) (+ (* -1/720 (* (pow l 2) (pow (PI) 6))) (* 1/24 (pow (PI) 4)))))))
(fma.f64 (*.f64 l l) (fma.f64 (PI.f64) (*.f64 (PI.f64) #s(literal -1/2 binary64)) (*.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (*.f64 #s(literal -1/720 binary64) (pow.f64 (PI.f64) #s(literal 6 binary64))) (*.f64 #s(literal 1/24 binary64) (*.f64 (*.f64 (PI.f64) (PI.f64)) (*.f64 (PI.f64) (PI.f64))))))) #s(literal 1 binary64))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))
(cos (* l (PI)))
(cos.f64 (*.f64 l (PI.f64)))

eval325.0ms (2%)

Memory
64.0MiB live, 625.5MiB allocated
Compiler

Compiled 46 886 to 6 634 computations (85.9% saved)

prune291.0ms (1.8%)

Memory
-35.8MiB live, 567.5MiB allocated
Pruning

19 alts after pruning (13 fresh and 6 done)

PrunedKeptTotal
New2 42142 425
Fresh2911
Picked235
Done033
Total2 425192 444
Accuracy
99.8%
Counts
2 444 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
77.0%
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
21.0%
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
21.0%
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
75.4%
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
75.2%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
75.3%
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
✓80.7%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
✓80.5%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
77.0%
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
24.6%
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
21.0%
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
24.6%
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
✓69.4%
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
75.3%
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
69.5%
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
✓75.0%
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
✓75.4%
(*.f64 l (PI.f64))
24.6%
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
✓21.0%
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
Compiler

Compiled 836 to 301 computations (64% saved)

regimes81.0ms (0.5%)

Memory
21.9MiB live, 152.5MiB allocated
Counts
47 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l (/.f64 F (PI.f64))))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (PI.f64)) (sqrt.f64 (PI.f64))) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(pow.f64 (pow.f64 (fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F)))) #s(literal 1/2 binary64)) #s(literal 2 binary64))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

6 calls:

17.0ms
(*.f64 (PI.f64) l)
14.0ms
l
12.0ms
F
12.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
11.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
87.6%3F
99.4%2l
91.1%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
99.4%2(*.f64 (PI.f64) l)
80.7%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
80.7%1(*.f64 F F)
Compiler

Compiled 39 to 26 computations (33.3% saved)

regimes30.0ms (0.2%)

Memory
-26.7MiB live, 47.8MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l (/.f64 F (PI.f64))))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(fma.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) F) F) (tan.f64 (*.f64 (PI.f64) l))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (/.f64 #s(literal 1 binary64) (tan.f64 (*.f64 (PI.f64) l))) F)))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (PI.f64) l) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F F)))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l))))
(-.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
(fma.f64 (/.f64 (tan.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) l)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(fma.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64))) (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (*.f64 (*.f64 l (sqrt.f64 (PI.f64))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (neg.f64 (sin.f64 (*.f64 (PI.f64) l))) (*.f64 (*.f64 F (cos.f64 (*.f64 (PI.f64) l))) (neg.f64 F))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

2 calls:

14.0ms
(*.f64 (PI.f64) l)
12.0ms
l
Results
AccuracySegmentsBranch
99.4%2l
99.4%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes20.0ms (0.1%)

Memory
38.0MiB live, 38.0MiB allocated
Counts
33 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l (/.f64 F (PI.f64))))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
(neg.f64 (*.f64 l (/.f64 (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))) (*.f64 F F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))))
(/.f64 (-.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (/.f64 (*.f64 (PI.f64) (*.f64 l (*.f64 (PI.f64) l))) (*.f64 (*.f64 F F) (*.f64 F F)))) (fma.f64 (PI.f64) l (/.f64 (*.f64 (PI.f64) l) (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (neg.f64 (*.f64 F F))))
(fma.f64 (PI.f64) l (/.f64 (tan.f64 (*.f64 (PI.f64) l)) (*.f64 F (neg.f64 F))))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64))))
Calls

2 calls:

9.0ms
(*.f64 (PI.f64) l)
9.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes21.0ms (0.1%)

Memory
-9.8MiB live, 32.1MiB allocated
Counts
26 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l (/.f64 F (PI.f64))))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(*.f64 l (*.f64 (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(*.f64 (*.f64 l (sqrt.f64 (sqrt.f64 (PI.f64)))) (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64)))))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
Calls

2 calls:

7.0ms
(*.f64 (PI.f64) l)
7.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes17.0ms (0.1%)

Memory
-9.1MiB live, 28.4MiB allocated
Counts
23 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 l (/.f64 F (PI.f64))))
(fma.f64 (/.f64 (*.f64 l (PI.f64)) F) (/.f64 #s(literal -1 binary64) F) (*.f64 (PI.f64) l))
Outputs
(-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
Calls

2 calls:

9.0ms
(*.f64 (PI.f64) l)
7.0ms
l
Results
AccuracySegmentsBranch
98.5%2l
98.5%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes15.0ms (0.1%)

Memory
-11.2MiB live, 26.4MiB allocated
Counts
20 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) (*.f64 (PI.f64) l))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 l (PI.f64))))
(neg.f64 (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F))
(*.f64 (PI.f64) (-.f64 l (/.f64 (*.f64 #s(literal 1 binary64) l) (*.f64 F F))))
(*.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 F F)) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
(*.f64 (/.f64 (neg.f64 l) F) (/.f64 (PI.f64) F))
(-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 l (PI.f64)) (*.f64 F F)))
(/.f64 (neg.f64 (PI.f64)) (/.f64 (*.f64 F F) l))
(*.f64 (/.f64 #s(literal -1 binary64) F) (/.f64 (*.f64 (PI.f64) l) F))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) l) (PI.f64)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (PI.f64)) l))
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (*.f64 l (PI.f64))))
(*.f64 (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) F) F) #s(literal 1 binary64)) (*.f64 (PI.f64) l))
Outputs
(*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F))))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
Calls

2 calls:

8.0ms
l
6.0ms
(*.f64 (PI.f64) l)
Results
AccuracySegmentsBranch
94.8%2l
94.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes6.0ms (0%)

Memory
11.9MiB live, 12.0MiB allocated
Counts
6 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
Outputs
(*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F))))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
Calls

2 calls:

3.0ms
(*.f64 (PI.f64) l)
3.0ms
l
Results
AccuracySegmentsBranch
94.8%2l
94.8%2(*.f64 (PI.f64) l)
Compiler

Compiled 8 to 6 computations (25% saved)

regimes7.0ms (0%)

Memory
15.8MiB live, 15.8MiB allocated
Counts
5 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(/.f64 (*.f64 (neg.f64 l) (PI.f64)) (*.f64 F F))
Outputs
(neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

3 calls:

2.0ms
(*.f64 (PI.f64) l)
2.0ms
l
2.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
86.3%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
75.4%1l
75.4%1(*.f64 (PI.f64) l)
Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes2.0ms (0%)

Memory
4.8MiB live, 4.8MiB allocated
Counts
3 → 2
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
Outputs
(neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F))))
(*.f64 l (PI.f64))
Calls

1 calls:

2.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Results
AccuracySegmentsBranch
86.3%2(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 16 to 10 computations (37.5% saved)

regimes11.0ms (0.1%)

Memory
-16.3MiB live, 21.7MiB allocated
Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts
2 → 1
Calls
Call 1
Inputs
(*.f64 l (PI.f64))
(/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l))
Outputs
(*.f64 l (PI.f64))
Calls

6 calls:

3.0ms
(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
2.0ms
F
2.0ms
(*.f64 (PI.f64) l)
1.0ms
l
1.0ms
(/.f64 #s(literal 1 binary64) (*.f64 F F))
Results
AccuracySegmentsBranch
75.4%1l
75.4%1(*.f64 (PI.f64) l)
75.4%1(*.f64 F F)
75.4%1(/.f64 #s(literal 1 binary64) (*.f64 F F))
75.4%1F
75.4%1(-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l))))
Compiler

Compiled 39 to 26 computations (33.3% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2822699302.1304393
3.309789835573939e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2822699302.1304393
3.309789835573939e+20
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
1.248656149934866
28.921290919013238
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28.921290919013238
20607.905326771666
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28.921290919013238
20607.905326771666
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28.921290919013238
20607.905326771666
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
28.921290919013238
20607.905326771666
Compiler

Compiled 17 to 15 computations (11.8% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.959369520217575e-254
1.1249480565483119e-302
Compiler

Compiled 19 to 15 computations (21.1% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-7.959369520217575e-254
1.1249480565483119e-302
Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify24.0ms (0.1%)

Memory
-16.9MiB live, 23.5MiB allocated
Algorithm
1×egg-herbie
Rules
140×neg-mul-1_binary64
118×unsub-neg_binary64
80×*-commutative_binary64
74×distribute-lft-neg-in_binary64
74×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
062238
1105238
2169238
3229238
4273238
5380238
6540238
7548238
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(*.f64 l (PI.f64))
Outputs
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (sin.f64 (*.f64 (PI.f64) l)) F) (*.f64 F (cos.f64 (*.f64 (PI.f64) l))))) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 5000000000 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (tan.f64 (*.f64 (PI.f64) l)) F) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 2 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) F)) F)) (*.f64 (*.f64 l (sqrt.f64 (*.f64 (PI.f64) (sqrt.f64 (PI.f64))))) (sqrt.f64 (sqrt.f64 (PI.f64)))))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) F) (*.f64 (PI.f64) l)) F)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (+.f64 (*.f64 (PI.f64) l) (/.f64 (*.f64 (*.f64 (PI.f64) l) (/.f64 #s(literal -1 binary64) F)) F)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (-.f64 (*.f64 (PI.f64) l) (/.f64 (/.f64 (*.f64 (PI.f64) l) F) F)) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (*.f64 (PI.f64) (-.f64 l (/.f64 l (*.f64 F F)))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (*.f64 (PI.f64) l) #s(literal 50 binary64)) (*.f64 l (-.f64 (PI.f64) (/.f64 (PI.f64) (*.f64 F F)))) (/.f64 (PI.f64) (/.f64 #s(literal 1 binary64) l)))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (neg.f64 (*.f64 (PI.f64) (/.f64 l (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 (/.f64 l (*.f64 F F)) (neg.f64 (PI.f64))) (*.f64 (PI.f64) l))
(if (<=.f64 (-.f64 (*.f64 (PI.f64) l) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 F F)) (tan.f64 (*.f64 (PI.f64) l)))) #s(literal -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (neg.f64 (*.f64 l (/.f64 (PI.f64) (*.f64 F F)))) (*.f64 l (PI.f64)))
(if (<=.f64 (+.f64 (*.f64 (PI.f64) l) (*.f64 (tan.f64 (*.f64 (PI.f64) l)) (/.f64 #s(literal -1 binary64) (*.f64 F F)))) #s(literal -825460204899477/16509204097989538948510618278641143953713978938628797566498772157083559454897651858575539246489287121708574843539285271215073361234458923039079343076966861778387083874968908880272859927388326282907007278381599637629625884148486304338699903086469889890298080653054312448 binary64)) (*.f64 l (/.f64 (PI.f64) (*.f64 F (neg.f64 F)))) (*.f64 (PI.f64) l))
(*.f64 l (PI.f64))
(*.f64 (PI.f64) l)

soundness1.7s (10.5%)

Memory
-45.4MiB live, 1 143.2MiB allocated
Rules
17 378×accelerator-lowering-fma.f32
17 378×accelerator-lowering-fma.f64
14 422×accelerator-lowering-fma.f32
14 422×accelerator-lowering-fma.f64
8 392×accelerator-lowering-fma.f32
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033130
1183120
21626108
08476108
01491418
14321331
214501227
369161158
085051124
04936440
115736139
258995801
082135663
01037
16331
246031
3664531
0816731
02293925
17033703
222633489
081853414
029148
1161115
21360114
08172114
026161
1169125
21558125
08884125
Stop Event
1×fuel
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
1×iter limit
1×node limit
Compiler

Compiled 637 to 338 computations (46.9% saved)

preprocess227.0ms (1.4%)

Memory
-14.7MiB live, 176.2MiB allocated
Remove

(abs F)

Compiler

Compiled 944 to 376 computations (60.2% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

Loading profile data...