Maksimov and Kolovsky, Equation (4)

Time bar (total: 13.9s)

analyze0.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.8%0.2%0%0%0%0
100%99.8%0%0.2%0%0%0%1
Compiler

Compiled 17 to 16 computations (5.9% saved)

sample1.8s (12.8%)

Memory
68.4MiB live, 2 680.1MiB allocated
Samples
727.0ms6 417×0valid
704.0ms1 839×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.1s
ival-exp: 434.0ms (38.5% of total)
ival-cos: 285.0ms (25.3% of total)
ival-mult: 134.0ms (11.9% of total)
ival-sub: 73.0ms (6.5% of total)
ival-div: 65.0ms (5.8% of total)
ival-add: 50.0ms (4.4% of total)
ival-neg: 41.0ms (3.6% of total)
adjust: 29.0ms (2.6% of total)
exact: 6.0ms (0.5% of total)
ival-true: 6.0ms (0.5% of total)
ival-assert: 3.0ms (0.3% of total)
Bogosity

preprocess154.0ms (1.1%)

Memory
18.7MiB live, 141.2MiB allocated
Algorithm
2×egg-herbie
Rules
1 266×times-frac
1 252×accelerator-lowering-fma.f32
1 252×accelerator-lowering-fma.f64
1 148×unsub-neg
770×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067230
1164226
2455225
31527225
45039225
01415
12715
25315
311415
427615
549715
668515
7108315
8155615
9173715
10178615
11179415
12179415
0179414
Stop Event
1×iter limit
1×saturated
1×node limit
Calls
Call 1
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(fma.f64 J (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) U)
Call 2
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U))
(neg (+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
(neg (+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U))
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U))
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U)))
(+ (* (* l (- (exp J) (exp (neg J)))) (cos (/ K 2))) U)
(+ (* (* K (- (exp l) (exp (neg l)))) (cos (/ J 2))) U)
(+ (* (* U (- (exp l) (exp (neg l)))) (cos (/ K 2))) J)
(+ (* (* J (- (exp K) (exp (neg K)))) (cos (/ l 2))) U)
(+ (* (* J (- (exp U) (exp (neg U)))) (cos (/ K 2))) l)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ U 2))) K)
Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(+ U (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))))
(+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U)
(+ U (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))))
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U)
(+ (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U))
(- (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(neg (+ (* (* (neg J) (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
(- (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(neg (+ (* (* J (- (exp (neg l)) (exp (neg (neg l))))) (cos (/ K 2))) U))
(- (* J (* (- (exp l) (exp (neg l))) (cos (/ K 2)))) U)
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ (neg K) 2))) U))
(- (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))) U)
(neg (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (neg U)))
(+ U (* J (* (cos (/ K 2)) (- (exp (neg l)) (exp l)))))
(+ (* (* l (- (exp J) (exp (neg J)))) (cos (/ K 2))) U)
(+ U (* (- (exp J) (exp (neg J))) (* l (cos (/ K 2)))))
(+ (* (* K (- (exp l) (exp (neg l)))) (cos (/ J 2))) U)
(+ U (* (- (exp l) (exp (neg l))) (* K (cos (* J 1/2)))))
(+ (* (* U (- (exp l) (exp (neg l)))) (cos (/ K 2))) J)
(+ J (* (- (exp l) (exp (neg l))) (* (cos (/ K 2)) U)))
(+ (* (* J (- (exp K) (exp (neg K)))) (cos (/ l 2))) U)
(+ U (* (- (exp K) (exp (neg K))) (* J (cos (* l 1/2)))))
(+ (* (* J (- (exp U) (exp (neg U)))) (cos (/ K 2))) l)
(+ l (* (- (exp U) (exp (neg U))) (* J (cos (/ K 2)))))
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ U 2))) K)
(+ K (* (- (exp l) (exp (neg l))) (* J (cos (* U 1/2)))))
Symmetry

(abs K)

explain261.0ms (1.9%)

Memory
5.3MiB live, 439.8MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1320-0-(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
00-0-K
00-0-(neg.f64 l)
00-0-(/.f64 K #s(literal 2 binary64))
00-0-(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
0124(-6.97848626422276e-247 -8.368887542613459e+115 5.826333594740204e+294 4.142584046426778e+93)0-(cos.f64 (/.f64 K #s(literal 2 binary64)))
00-0-(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
00-0-J
00-0-U
01(9.119241825729486e-218 -553.5243162941431 2.777822474057041e+189 -3.4826078886292696e-298)0-(exp.f64 (neg.f64 l))
00-0-#s(literal 2 binary64)
00-0-(exp.f64 l)
00-0-l
00-0-(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
cos.f64(cos.f64 (/.f64 K #s(literal 2 binary64)))sensitivity1240
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation300
exp.f64(exp.f64 (neg.f64 l))sensitivity11
Confusion
Predicted +Predicted -
+270
-115114
Precision
0.19014084507042253
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2700
-1151113
Precision?
0.1888111888111888
Recall?
1.0
Freqs
test
numberfreq
0114
1129
213
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
65.0ms200×1valid
32.0ms250×0valid
31.0ms62×2valid
Compiler

Compiled 164 to 60 computations (63.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 97.0ms
ival-exp: 43.0ms (44.4% of total)
ival-cos: 21.0ms (21.7% of total)
ival-mult: 9.0ms (9.3% of total)
adjust: 5.0ms (5.2% of total)
ival-sub: 4.0ms (4.1% of total)
ival-div: 4.0ms (4.1% of total)
ival-neg: 4.0ms (4.1% of total)
ival-add: 4.0ms (4.1% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

eval0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Compiler

Compiled 4 to 4 computations (0% saved)

prune1.0ms (0%)

Memory
1.7MiB live, 1.7MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶90.1%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 19 to 14 computations (26.3% saved)

simplify88.0ms (0.6%)

Memory
3.2MiB live, 77.5MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(exp.f64 (neg.f64 l))
✓cost-diff0
(exp.f64 l)
✓cost-diff0
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
✓cost-diff192
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Rules
1 252×accelerator-lowering-fma.f32
1 252×accelerator-lowering-fma.f64
564×*-lowering-*.f32
564×*-lowering-*.f64
270×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
12761
25361
311461
427661
549761
668561
7108361
8155661
9173761
10178661
11179461
12179461
0179460
Stop Event
1×iter limit
1×saturated
Calls
Call 1
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(* J (- (exp l) (exp (neg l))))
J
(- (exp l) (exp (neg l)))
(exp l)
l
(exp (neg l))
(neg l)
(cos (/ K 2))
(/ K 2)
K
2
U
Outputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(fma.f64 J (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) U)
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (fma.f64 J (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 0 binary64)) #s(literal 0 binary64))
(* J (- (exp l) (exp (neg l))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 0 binary64))
J
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))
(exp l)
(exp.f64 l)
l
(exp (neg l))
(exp.f64 (-.f64 #s(literal 0 binary64) l))
(neg l)
(-.f64 #s(literal 0 binary64) l)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
2
#s(literal 2 binary64)
U

localize96.0ms (0.7%)

Memory
-8.7MiB live, 188.5MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(cos.f64 (/.f64 K #s(literal 2 binary64)))
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓accuracy99.9%
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy51.6%
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
35.0ms100×1valid
21.0ms31×2valid
20.0ms125×0valid
Compiler

Compiled 63 to 16 computations (74.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 53.0ms
ival-exp: 21.0ms (40% of total)
ival-cos: 8.0ms (15.2% of total)
ival-add: 8.0ms (15.2% of total)
adjust: 5.0ms (9.5% of total)
ival-mult: 5.0ms (9.5% of total)
ival-sub: 2.0ms (3.8% of total)
ival-div: 2.0ms (3.8% of total)
ival-neg: 2.0ms (3.8% of total)
exact: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series17.0ms (0.1%)

Memory
-2.4MiB live, 34.0MiB allocated
Counts
6 → 132
Calls
Call 1
Inputs
#<alt (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)>
#<alt (- (exp l) (exp (neg l)))>
#<alt (exp l)>
#<alt (exp (neg l))>
#<alt (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))>
#<alt (cos (/ K 2))>
Outputs
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))>
#<alt (+ U (* J (- (exp l) (exp (neg l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))>
#<alt (+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))>
#<alt (+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (neg l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt (- (exp l) (exp (* -1 l)))>
#<alt 1>
#<alt (+ 1 l)>
#<alt (+ 1 (* l (+ 1 (* 1/2 l))))>
#<alt (+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt (exp l)>
#<alt 1>
#<alt (+ 1 (* -1 l))>
#<alt (+ 1 (* l (- (* 1/2 l) 1)))>
#<alt (+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))>
#<alt (exp (neg l))>
#<alt (exp (neg l))>
#<alt (exp (neg l))>
#<alt (exp (neg l))>
#<alt (exp (* -1 l))>
#<alt (exp (* -1 l))>
#<alt (exp (* -1 l))>
#<alt (exp (* -1 l))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))>
#<alt (* J (- (exp l) (exp (neg l))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))>
#<alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))>
#<alt (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
Calls

33 calls:

TimeVariablePointExpression
4.0ms
J
@-inf
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
2.0ms
J
@0
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
1.0ms
l
@-inf
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms
l
@inf
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
1.0ms
J
@0
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)

rewrite346.0ms (2.5%)

Memory
21.5MiB live, 458.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
4 096×accelerator-lowering-fma.f32
4 096×accelerator-lowering-fma.f64
3 120×*-lowering-*.f32
3 120×*-lowering-*.f64
1 830×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
16337
242437
0448536
Stop Event
1×iter limit
1×iter limit
1×node limit
Counts
6 → 240
Calls
Call 1
Inputs
(+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U)
(- (exp l) (exp (neg l)))
(exp l)
(exp (neg l))
(* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)))
(cos (/ K 2))
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(+.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
(fma.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 J (/.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(fma.f64 (*.f64 J J) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (cos.f64 (*.f64 #s(literal 2 binary64) (*.f64 K #s(literal 1/2 binary64))))))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)) U)
(fma.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) #s(literal 2 binary64))) (/.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sinh.f64 l) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sinh.f64 l) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))) U)
(fma.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) U)
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U))) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (*.f64 U (*.f64 U U)))) (fma.f64 U (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 U U) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(neg.f64 (/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)) (*.f64 U U)))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)) (*.f64 U U))))
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)) (*.f64 U U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) U))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 U U)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) U)))
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(/.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (sinh.f64 l))))
(/.f64 (*.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))))
(/.f64 (*.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (+.f64 (neg.f64 (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) #s(literal -1 binary64)))
(/.f64 (*.f64 (+.f64 (neg.f64 (exp.f64 (+.f64 l l))) (exp.f64 (*.f64 l #s(literal -2 binary64)))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))) (*.f64 #s(literal -2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))))
(/.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) J) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) J) (*.f64 #s(literal 2 binary64) (cosh.f64 l)))
(*.f64 J (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 J (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)) J))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))))
(*.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))) (*.f64 (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)) (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64))))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J)
(*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sinh.f64 l)))
(*.f64 (*.f64 J #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (sinh.f64 l)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)))
(*.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J #s(literal 2 binary64))) (sinh.f64 l))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (sinh.f64 l))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (sinh.f64 l)) #s(literal 2 binary64))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (*.f64 l #s(literal 3 binary64))) (exp.f64 (*.f64 l #s(literal -3 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (+.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64)))))))
(*.f64 (*.f64 (*.f64 J (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) (-.f64 (exp.f64 (+.f64 l l)) (exp.f64 (*.f64 l #s(literal -2 binary64))))) (/.f64 #s(literal 1/2 binary64) (cosh.f64 l)))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (*.f64 K #s(literal -1/2 binary64)))

simplify479.0ms (3.4%)

Memory
2.1MiB live, 882.3MiB allocated
Algorithm
1×egg-herbie
Rules
15 114×accelerator-lowering-fma.f32
15 114×accelerator-lowering-fma.f64
5 790×+-lowering-+.f64
5 790×+-lowering-+.f32
4 954×*-lowering-*.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461623
14441622
213781522
334391522
083461438
Stop Event
1×iter limit
1×node limit
Counts
132 → 132
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l))))))))))
(+ U (+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (neg l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
(- (exp l) (exp (* -1 l)))
1
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
(exp l)
1
(+ 1 (* -1 l))
(+ 1 (* l (- (* 1/2 l) 1)))
(+ 1 (* l (- (* l (+ 1/2 (* -1/6 l))) 1)))
(exp (neg l))
(exp (neg l))
(exp (neg l))
(exp (neg l))
(exp (* -1 l))
(exp (* -1 l))
(exp (* -1 l))
(exp (* -1 l))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (neg l))))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))))))
(+ (* J (- (exp l) (exp (neg l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (exp (neg l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* 1/384 (* J (- (exp l) (exp (neg l))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 J (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(fma.f64 l (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (*.f64 l l))) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) U)
(+ U (* J (- (exp l) (exp (neg l)))))
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eval43.0ms (0.3%)

Memory
12.7MiB live, 90.1MiB allocated
Compiler

Compiled 10 558 to 1 101 computations (89.6% saved)

prune51.0ms (0.4%)

Memory
2.4MiB live, 118.5MiB allocated
Pruning

11 alts after pruning (11 fresh and 0 done)

PrunedKeptTotal
New36111372
Fresh000
Picked101
Done000
Total36211373
Accuracy
100.0%
Counts
373 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.9%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
▶100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
69.0%
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
86.1%
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
78.9%
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
▶95.5%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
93.6%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶91.7%
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
▶69.0%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
31.8%
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
▶43.2%
U
Compiler

Compiled 434 to 284 computations (34.6% saved)

simplify467.0ms (3.4%)

Memory
-67.7MiB live, 690.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff128
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓cost-diff0
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓cost-diff0
(*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓cost-diff128
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) K)
✓cost-diff0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
✓cost-diff128
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
✓cost-diff0
(*.f64 J (sinh.f64 l))
✓cost-diff0
(*.f64 K #s(literal 1/2 binary64))
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
Rules
14 760×accelerator-lowering-fma.f32
14 760×accelerator-lowering-fma.f64
4 938×*-lowering-*.f32
4 938×*-lowering-*.f64
3 798×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042318
1118318
2354318
3988318
42926318
54331318
66534318
08181291
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* (cos (* K 1/2)) 2) (* J (sinh l))) U)
(* (cos (* K 1/2)) 2)
(cos (* K 1/2))
(* K 1/2)
K
1/2
2
(* J (sinh l))
J
(sinh l)
l
U
U
(+ (* (cos (* 1/2 K)) (* 2 (* J l))) U)
(* (cos (* 1/2 K)) (* 2 (* J l)))
(cos (* 1/2 K))
(* 1/2 K)
1/2
K
(* 2 (* J l))
2
(* J l)
J
l
U
(+ (* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* l (* l 1/3)) 2)))
J
(* l (+ (* l (* l 1/3)) 2))
l
(+ (* l (* l 1/3)) 2)
(* l 1/3)
1/3
2
(cos (/ K 2))
(/ K 2)
K
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
J
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
l
(+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)
(* l l)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
(+ (* (* l l) 1/2520) 1/60)
1/2520
1/60
1/3
2
(cos (/ K 2))
(/ K 2)
K
U
Outputs
(+ (* (* (cos (* K 1/2)) 2) (* J (sinh l))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J (fma.f64 #s(literal 2 binary64) (sinh.f64 l) #s(literal 0 binary64))) U)
(* (cos (* K 1/2)) 2)
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
2
#s(literal 2 binary64)
(* J (sinh l))
(*.f64 J (sinh.f64 l))
J
(sinh l)
(sinh.f64 l)
l
U
U
(+ (* (cos (* 1/2 K)) (* 2 (* J l))) U)
(fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(* (cos (* 1/2 K)) (* 2 (* J l)))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
1/2
#s(literal 1/2 binary64)
K
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
2
#s(literal 2 binary64)
(* J l)
(*.f64 J l)
J
l
U
(+ (* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))) U)
(fma.f64 (*.f64 J l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (cos.f64 (/.f64 K #s(literal 2 binary64)))))
(* J (* l (+ (* l (* l 1/3)) 2)))
(*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
J
(* l (+ (* l (* l 1/3)) 2))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* l (* l 1/3)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l 1/3)
(*.f64 l #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
U
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 (*.f64 J l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
(*.f64 (*.f64 J l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
J
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l l)
(*.f64 l l)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+ (* (* l l) 1/2520) 1/60)
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/2520
#s(literal 1/2520 binary64)
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
(cos (/ K 2))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/ K 2)
(/.f64 K #s(literal 2 binary64))
K
U

localize228.0ms (1.6%)

Memory
9.3MiB live, 280.9MiB allocated
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
✓accuracy99.9%
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓accuracy99.9%
(*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.6%
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓accuracy98.5%
(*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓accuracy99.9%
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
✓accuracy99.5%
(*.f64 l #s(literal 1/3 binary64))
✓accuracy93.7%
(*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))))
✓accuracy100.0%
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
✓accuracy100.0%
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 J l))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
✓accuracy100.0%
(*.f64 J (sinh.f64 l))
✓accuracy100.0%
(sinh.f64 l)
✓accuracy100.0%
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓accuracy100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
Samples
154.0ms256×0valid
Compiler

Compiled 296 to 44 computations (85.1% saved)

Precisions
Click to see histograms. Total time spent on operations: 130.0ms
ival-mult: 45.0ms (34.6% of total)
ival-cos: 37.0ms (28.4% of total)
const: 37.0ms (28.4% of total)
ival-add: 9.0ms (6.9% of total)
ival-div: 1.0ms (0.8% of total)
ival-sinh: 1.0ms (0.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series74.0ms (0.5%)

Memory
40.9MiB live, 109.3MiB allocated
Counts
22 → 528
Calls
Call 1
Inputs
#<alt (* (cos (* K 1/2)) 2)>
#<alt (cos (* K 1/2))>
#<alt (* K 1/2)>
#<alt (* J (sinh l))>
#<alt (+ (* (cos (* 1/2 K)) (* 2 (* J l))) U)>
#<alt (* (cos (* 1/2 K)) (* 2 (* J l)))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (+ (* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))) U)>
#<alt (* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))>
#<alt (* J (* l (+ (* l (* l 1/3)) 2)))>
#<alt (* l (+ (* l (* l 1/3)) 2))>
#<alt (+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)>
#<alt (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))>
#<alt (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))>
#<alt (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))>
#<alt (+ (* (* (cos (* K 1/2)) 2) (* J (sinh l))) U)>
#<alt (sinh l)>
#<alt (* 2 (* J l))>
#<alt (* l 1/3)>
#<alt (+ (* (* l l) 1/2520) 1/60)>
#<alt (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)>
Outputs
#<alt 2>
#<alt (+ 2 (* -1/4 (pow K 2)))>
#<alt (+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt (* 2 (cos (* 1/2 K)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* J l)>
#<alt (* l (+ J (* 1/6 (* J (pow l 2)))))>
#<alt (* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))>
#<alt (* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))>
#<alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))>
#<alt (+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
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#<alt (+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) U)) 1)))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K))))))))>
#<alt (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/3 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/2520 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/60 (* J (cos (* 1/2 K))))))))))>
#<alt (* 1/2520 (* J (* (pow l 7) (cos (* 1/2 K)))))>
#<alt (* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (+ (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 (* J (cos (* 1/2 K)))) (+ (* 1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (+ (* 1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (* 2 (/ (* J (cos (* 1/2 K))) (pow l 6)))))))>
#<alt (* 1/2520 (* J (* (pow l 7) (cos (* 1/2 K)))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K)))))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K))))))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ (* J (cos (* 1/2 K))) (pow l 6))) (+ (* -1/3 (/ (* J (cos (* 1/2 K))) (pow l 4))) (+ (* -1/60 (/ (* J (cos (* 1/2 K))) (pow l 2))) (* -1/2520 (* J (cos (* 1/2 K)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))))))>
#<alt (+ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))) (* 1/384 (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))>
#<alt (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))>
#<alt (+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (cos (* 1/2 K))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))>
#<alt (+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt (+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt (* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
Calls

132 calls:

TimeVariablePointExpression
12.0ms
J
@inf
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
4.0ms
l
@inf
(+ (* (* (cos (* K 1/2)) 2) (* J (sinh l))) U)
4.0ms
K
@-inf
(+ (* (cos (* 1/2 K)) (* 2 (* J l))) U)
1.0ms
K
@inf
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
1.0ms
J
@0
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)

rewrite442.0ms (3.2%)

Memory
-4.3MiB live, 811.3MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
5 106×*-lowering-*.f32
5 106×*-lowering-*.f64
5 028×accelerator-lowering-fma.f32
5 028×accelerator-lowering-fma.f64
3 976×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042245
1225245
21699245
08135222
Stop Event
1×iter limit
1×node limit
Counts
22 → 461
Calls
Call 1
Inputs
(* (cos (* K 1/2)) 2)
(cos (* K 1/2))
(* K 1/2)
(* J (sinh l))
(+ (* (cos (* 1/2 K)) (* 2 (* J l))) U)
(* (cos (* 1/2 K)) (* 2 (* J l)))
(cos (* 1/2 K))
(* 1/2 K)
(+ (* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* l (* l 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* l (* l 1/3)) 2)))
(* l (+ (* l (* l 1/3)) 2))
(+ (* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2))) U)
(* (* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))) (cos (/ K 2)))
(* J (* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2)))
(* l (+ (* (* l l) (+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)) 2))
(+ (* (* (cos (* K 1/2)) 2) (* J (sinh l))) U)
(sinh l)
(* 2 (* J l))
(* l 1/3)
(+ (* (* l l) 1/2520) 1/60)
(+ (* (* l l) (+ (* (* l l) 1/2520) 1/60)) 1/3)
Outputs
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) K)) #s(literal -1 binary64)))
(-.f64 #s(literal 0 binary64) (/.f64 K #s(literal -2 binary64)))
(neg.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
(/.f64 (-.f64 #s(literal 0 binary64) K) #s(literal -2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) K))
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(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 (*.f64 l (*.f64 l l)) (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))))) #s(literal 1/27 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))) #s(literal 1/9 binary64)) (*.f64 l (*.f64 (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))))))
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(/.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l l)) (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/16003008000 binary64))) (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))) (pow.f64 (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))) (-.f64 (*.f64 (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64))))) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))))))
(/.f64 (+.f64 (pow.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) #s(literal 3 binary64)) (*.f64 #s(literal 1/216000 binary64) (*.f64 (*.f64 l l) (*.f64 (*.f64 l l) (*.f64 l l))))) (fma.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) (-.f64 (*.f64 (*.f64 l (*.f64 l #s(literal 1/60 binary64))) (*.f64 l (*.f64 l #s(literal 1/60 binary64)))) (*.f64 (+.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (*.f64 l #s(literal 1/2520 binary64)))))) (*.f64 l (*.f64 l #s(literal 1/60 binary64)))))))
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simplify889.0ms (6.4%)

Memory
-227.8MiB live, 1 338.2MiB allocated
Algorithm
1×egg-herbie
Rules
17 838×accelerator-lowering-fma.f32
17 838×accelerator-lowering-fma.f64
8 114×*-lowering-*.f32
8 114×*-lowering-*.f64
4 518×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04518269
115138261
254657668
088007107
Stop Event
1×iter limit
1×node limit
Counts
528 → 528
Calls
Call 1
Inputs
2
(+ 2 (* -1/4 (pow K 2)))
(+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))
(+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
(* 2 (cos (* 1/2 K)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* 2 (* J l)))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* J (+ (* 2 (* l (cos (* 1/2 K)))) (/ U J)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* 1/2 K)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* l (+ (* 2 (* J (cos (* 1/2 K)))) (/ U l)))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 (* J (cos (* 1/2 K)))) (* -1 (/ U l)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
U
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* 1/2 K)))) U))))
U
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* 1/2 K)))) U)) 1)))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
U
(+ U (* J (* l (* (cos (* 1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
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(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (* (cos (* 1/2 K)) (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(* 1/2520 (* J (pow l 7)))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 7)))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* 1/384 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l))))))))))
(+ U (+ (* J (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/8 (* J (- (exp l) (/ 1 (exp l))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* 1/384 (* J (- (exp l) (/ 1 (exp l)))))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(+ U (* l (+ (* 2 (* J (cos (* 1/2 K)))) (* (pow l 2) (+ (* 1/60 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 1/3 (* J (cos (* 1/2 K)))))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l)))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))))
U
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
Outputs
2
#s(literal 2 binary64)
(+ 2 (* -1/4 (pow K 2)))
(fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))
(+ 2 (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))
(fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64))) #s(literal 2 binary64))
(+ 2 (* (pow K 2) (- (* (pow K 2) (+ 1/192 (* -1/23040 (pow K 2)))) 1/4)))
(fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64))) #s(literal -1/4 binary64)) #s(literal 2 binary64))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(* 2 (cos (* 1/2 K)))
(*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(cos (* 1/2 K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 K)
(*.f64 K #s(literal 1/2 binary64))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* J l)
(*.f64 J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(*.f64 l (*.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 l l) #s(literal 1 binary64)) J))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(*.f64 l (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) J))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) l) l (*.f64 J #s(literal 1/6 binary64)))) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 #s(literal 1/2 binary64) J))
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l))))))))
(fma.f64 (*.f64 K K) (fma.f64 #s(literal -1/4 binary64) (*.f64 J l) (*.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 (*.f64 K K) #s(literal -1/23040 binary64) #s(literal 1/192 binary64)))) (fma.f64 #s(literal 2 binary64) (*.f64 J l) U))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
U
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) U)
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l
(* l (+ 1 (* 1/6 (pow l 2))))
(*.f64 l (fma.f64 #s(literal 1/6 binary64) (*.f64 l l) #s(literal 1 binary64)))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 #s(literal 1/2 binary64) (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
(* 1/3 l)
(*.f64 l #s(literal 1/3 binary64))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* 1/2520 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/2520 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* 1/2520 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* 1/2520 (pow l 4))
(*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/2520 binary64))))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))

eval141.0ms (1%)

Memory
6.1MiB live, 268.4MiB allocated
Compiler

Compiled 30 702 to 2 437 computations (92.1% saved)

prune115.0ms (0.8%)

Memory
3.1MiB live, 206.4MiB allocated
Pruning

17 alts after pruning (15 fresh and 2 done)

PrunedKeptTotal
New97415989
Fresh606
Picked325
Done000
Total983171 000
Accuracy
100.0%
Counts
1 000 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.8%
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
67.0%
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
69.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
69.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
69.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
✓100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
75.4%
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
52.5%
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
▶80.6%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
▶84.4%
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
52.8%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
▶60.6%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
49.6%
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
52.9%
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
71.5%
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
▶27.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
✓43.2%
U
Compiler

Compiled 587 to 396 computations (32.5% saved)

simplify491.0ms (3.5%)

Memory
-8.3MiB live, 706.7MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 K #s(literal 1/2 binary64))
✓cost-diff0
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓cost-diff0
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
✓cost-diff0
(*.f64 l l)
✓cost-diff0
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓cost-diff0
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(*.f64 K K)
✓cost-diff0
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
✓cost-diff0
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓cost-diff0
(*.f64 J l)
✓cost-diff0
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
✓cost-diff0
(sinh.f64 l)
✓cost-diff0
(*.f64 J (sinh.f64 l))
✓cost-diff0
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Rules
14 808×accelerator-lowering-fma.f32
14 808×accelerator-lowering-fma.f64
5 864×*-lowering-*.f32
5 864×*-lowering-*.f64
3 004×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042232
1119232
2356232
31092232
43210232
54524232
65464232
77639232
08214210
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* 2 (* J (sinh l))) U)
2
(* J (sinh l))
J
(sinh l)
l
U
(+ (* 2 (* J l)) U)
2
(* J l)
J
l
U
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)
(+ (* (* K K) -1/8) 1)
(* K K)
K
-1/8
1
(* (* J l) (+ (* l (* l 1/3)) 2))
(* J l)
J
l
(+ (* l (* l 1/3)) 2)
(* l 1/3)
1/3
2
U
(+ (* J (* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))) U)
J
(* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))
l
(+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2)
(* l l)
(+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)
(* l (+ (* (* l l) 1/2520) 1/60))
(+ (* (* l l) 1/2520) 1/60)
1/2520
1/60
1/3
2
U
(* 2 (* (cos (* K 1/2)) (* J l)))
2
(* (cos (* K 1/2)) (* J l))
(cos (* K 1/2))
(* K 1/2)
K
1/2
(* J l)
J
l
Outputs
(+ (* 2 (* J (sinh l))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
2
#s(literal 2 binary64)
(* J (sinh l))
(*.f64 J (sinh.f64 l))
J
(sinh l)
(sinh.f64 l)
l
U
(+ (* 2 (* J l)) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
2
#s(literal 2 binary64)
(* J l)
(*.f64 J l)
J
l
U
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)
(fma.f64 (*.f64 J l) (*.f64 (fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64)) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+ (* (* K K) -1/8) 1)
(fma.f64 K (*.f64 K #s(literal -1/8 binary64)) #s(literal 1 binary64))
(* K K)
(*.f64 K K)
K
-1/8
#s(literal -1/8 binary64)
1
#s(literal 1 binary64)
(* (* J l) (+ (* l (* l 1/3)) 2))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
(* J l)
(*.f64 J l)
J
l
(+ (* l (* l 1/3)) 2)
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l 1/3)
(*.f64 l #s(literal 1/3 binary64))
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
U
(+ (* J (* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
J
(* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2)
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l l)
(*.f64 l l)
(+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
(* l (+ (* (* l l) 1/2520) 1/60))
(*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))
(+ (* (* l l) 1/2520) 1/60)
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
1/2520
#s(literal 1/2520 binary64)
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
U
(* 2 (* (cos (* K 1/2)) (* J l)))
(*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
2
#s(literal 2 binary64)
(* (cos (* K 1/2)) (* J l))
(*.f64 (*.f64 J l) (cos.f64 (*.f64 K #s(literal 1/2 binary64))))
(cos (* K 1/2))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(* K 1/2)
(*.f64 K #s(literal 1/2 binary64))
K
1/2
#s(literal 1/2 binary64)
(* J l)
(*.f64 J l)
J
l

localize133.0ms (1%)

Memory
6.3MiB live, 251.1MiB allocated
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(*.f64 J l)
✓accuracy100.0%
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
✓accuracy99.8%
(*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l))
✓accuracy99.9%
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
✓accuracy99.9%
(*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)))
✓accuracy99.6%
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
✓accuracy98.5%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓accuracy99.9%
(fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓accuracy99.5%
(*.f64 l #s(literal 1/3 binary64))
✓accuracy99.2%
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓accuracy91.8%
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓accuracy100.0%
(*.f64 J l)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
✓accuracy100.0%
(*.f64 J (sinh.f64 l))
✓accuracy100.0%
(sinh.f64 l)
✓accuracy100.0%
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Samples
82.0ms256×0valid
Compiler

Compiled 212 to 44 computations (79.2% saved)

Precisions
Click to see histograms. Total time spent on operations: 60.0ms
ival-mult: 33.0ms (55.3% of total)
ival-add: 10.0ms (16.7% of total)
const: 9.0ms (15.1% of total)
ival-cos: 5.0ms (8.4% of total)
ival-sinh: 2.0ms (3.3% of total)
exact: 1.0ms (1.7% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series22.0ms (0.2%)

Memory
10.5MiB live, 46.6MiB allocated
Counts
22 → 456
Calls
Call 1
Inputs
#<alt (+ (* 2 (* J (sinh l))) U)>
#<alt (* J (sinh l))>
#<alt (sinh l)>
#<alt (+ (* 2 (* J l)) U)>
#<alt (* J l)>
#<alt (+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)>
#<alt (+ (* (* K K) -1/8) 1)>
#<alt (* K K)>
#<alt (* (* J l) (+ (* l (* l 1/3)) 2))>
#<alt (+ (* J (* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))) U)>
#<alt (* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))>
#<alt (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2)>
#<alt (* l l)>
#<alt (* 2 (* (cos (* K 1/2)) (* J l)))>
#<alt (* (cos (* K 1/2)) (* J l))>
#<alt (cos (* K 1/2))>
#<alt (* K 1/2)>
#<alt (* l 1/3)>
#<alt (+ (* l (* l 1/3)) 2)>
#<alt (+ (* (* l l) 1/2520) 1/60)>
#<alt (* l (+ (* (* l l) 1/2520) 1/60))>
#<alt (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)>
Outputs
#<alt U>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* J (- (exp l) (/ 1 (exp l))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (+ U (* J (- (exp l) (/ 1 (exp l)))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt (* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* J l)>
#<alt (* l (+ J (* 1/6 (* J (pow l 2)))))>
#<alt (* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))>
#<alt (* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt (* 1/2 (* J (- (exp l) (/ 1 (exp l)))))>
#<alt l>
#<alt (* l (+ 1 (* 1/6 (pow l 2))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))>
#<alt (* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt (* 1/2 (- (exp l) (/ 1 (exp l))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (* 2 (* J l))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* J (+ (* 2 l) (/ U J)))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* l (+ (* 2 J) (/ U l)))>
#<alt (* 2 (* J l))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))>
#<alt (* 2 (* J l))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* 2 (* J l)))>
#<alt U>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt (* U (+ 1 (* 2 (/ (* J l) U))))>
#<alt U>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* -1 (* U (- (* -2 (/ (* J l) U)) 1)))>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))>
#<alt U>
#<alt (+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* J (+ (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (+ (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))>
#<alt (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2)))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2)))))) (* 2 (* J (+ 1 (* -1/8 (pow K 2))))))))>
#<alt (+ U (* l (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2)))))) (* 2 (* J (+ 1 (* -1/8 (pow K 2))))))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (* 2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (+ (* 2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (/ U (pow l 3)))))>
#<alt (* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (+ (* 2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (/ U (pow l 3)))))>
#<alt (* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2)))))))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2)))))))))>
#<alt (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))>
#<alt (+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt (+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* J (* l (+ 2 (* 1/3 (pow l 2)))))>
#<alt (* 2 (* J l))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))>
#<alt (* 1/3 (* J (pow l 3)))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))>
#<alt (* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))>
#<alt U>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (* 2 (* J l))>
#<alt (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))>
#<alt (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))>
#<alt (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* 2 (* J (* l (cos (* 1/2 K)))))>
#<alt (* J l)>
#<alt (+ (* -1/8 (* J (* (pow K 2) l))) (* J l))>
#<alt (+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))>
#<alt (+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt (* J (* l (cos (* 1/2 K))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))>
#<alt (+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (cos (* 1/2 K))>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/2 K)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt (* 1/3 l)>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* 1/3 (pow l 2))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/60 l)>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* 1/2520 (pow l 3))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 3))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
Calls

114 calls:

TimeVariablePointExpression
3.0ms
U
@inf
(+ (* J (* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))) U)
1.0ms
K
@inf
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)
1.0ms
J
@0
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)
1.0ms
K
@0
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)
1.0ms
l
@0
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)

rewrite673.0ms (4.8%)

Memory
-10.8MiB live, 785.4MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
6 340×accelerator-lowering-fma.f32
6 340×accelerator-lowering-fma.f64
4 214×*-lowering-*.f32
4 214×*-lowering-*.f64
3 972×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
042198
1228198
21801198
08475176
Stop Event
1×iter limit
1×node limit
Counts
22 → 559
Calls
Call 1
Inputs
(+ (* 2 (* J (sinh l))) U)
(* J (sinh l))
(sinh l)
(+ (* 2 (* J l)) U)
(* J l)
(+ (* (+ (* (* K K) -1/8) 1) (* (* J l) (+ (* l (* l 1/3)) 2))) U)
(+ (* (* K K) -1/8) 1)
(* K K)
(* (* J l) (+ (* l (* l 1/3)) 2))
(+ (* J (* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))) U)
(* l (+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2))
(+ (* (* l l) (+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)) 2)
(* l l)
(* 2 (* (cos (* K 1/2)) (* J l)))
(* (cos (* K 1/2)) (* J l))
(cos (* K 1/2))
(* K 1/2)
(* l 1/3)
(+ (* l (* l 1/3)) 2)
(+ (* (* l l) 1/2520) 1/60)
(* l (+ (* (* l l) 1/2520) 1/60))
(+ (* l (* l (+ (* (* l l) 1/2520) 1/60))) 1/3)
Outputs
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)
(+.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (neg.f64 (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))))
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(fma.f64 J (*.f64 (sinh.f64 l) #s(literal 2 binary64)) U)
(fma.f64 (sinh.f64 l) (*.f64 #s(literal 2 binary64) J) U)
(fma.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J U)
(fma.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (neg.f64 (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))
(fma.f64 (*.f64 #s(literal 2 binary64) J) (sinh.f64 l) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) #s(literal 1/2 binary64) U)
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)))
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 3 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64))))
(/.f64 (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 3 binary64))) (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))
(/.f64 (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U U))) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 3 binary64)))) (-.f64 #s(literal 0 binary64) (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 3 binary64)))) (neg.f64 (fma.f64 U U (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))))
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U U)))) (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U) (*.f64 U U))) (*.f64 (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 U (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 3 binary64))))) (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 U (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J)) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64))))))
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (fma.f64 #s(literal 4 binary64) (pow.f64 (*.f64 J (sinh.f64 l)) #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 U U))))) (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J))))
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (fma.f64 (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U)) (/.f64 (*.f64 U U) (-.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) U))))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)) #s(literal -1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
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(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64)))))
(*.f64 (-.f64 #s(literal 1/9 binary64) (*.f64 (*.f64 l l) (*.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))))))

simplify1.1s (7.8%)

Memory
37.9MiB live, 952.6MiB allocated
Algorithm
1×egg-herbie
Rules
18 378×accelerator-lowering-fma.f32
18 378×accelerator-lowering-fma.f64
6 902×*-lowering-*.f32
6 902×*-lowering-*.f64
4 214×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03575072
112085056
242824780
083314427
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(* J (- (exp l) (/ 1 (exp l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(* J (- (exp l) (/ 1 (exp l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* 2 (* J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
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U
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 2 (* J l))
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(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
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(* 2 (* J l))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
(+ U (* 2 (* J l)))
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
U
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
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(* J l)
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(* J l)
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
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(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))
(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))
(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))
(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))
(* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))
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(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))
(* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (+ (/ U (pow K 2)) (/ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (pow K 2)))))
U
(+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (+ (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (+ (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(* -1 (* J (+ (* -1 (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2)))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2)))))) (* 2 (* J (+ 1 (* -1/8 (pow K 2))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (+ 1 (* -1/8 (pow K 2)))))) (* 2 (* J (+ 1 (* -1/8 (pow K 2))))))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (* 2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (+ (* 2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (/ U (pow l 3)))))
(* (pow l 3) (+ (* 1/3 (* J (+ 1 (* -1/8 (pow K 2))))) (+ (* 2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 3) (+ 1 (* -1/8 (pow K 2))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2)))))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (+ 1 (* -1/8 (pow K 2)))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (+ 1 (* -1/8 (pow K 2)))))))))
(* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2))))))
(+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))
(+ U (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))))
U
(* U (+ 1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (+ 1 (* -1/8 (pow K 2))) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* -1/8 (pow K 2)))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* J (* l (+ 2 (* 1/3 (pow l 2)))))
(* 2 (* J l))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* 1/3 (* J (pow l 3)))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* (pow l 3) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (pow l 3)))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
(* -1 (* (pow l 3) (+ (* -2 (/ J (pow l 2))) (* -1/3 J))))
U
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 1/2520 (* J (pow l 7)))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 7)))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
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(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
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U
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(pow l 2)
(pow l 2)
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(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
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(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* (pow K 2) (+ (* -1/23040 (* J (* (pow K 2) l))) (* 1/192 (* J l)))))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* 2 (* J (* l (cos (* 1/2 K)))))
(* J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* 1/384 (* J (* (pow K 2) l))))))
(+ (* J l) (* (pow K 2) (+ (* -1/8 (* J l)) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) l))) (* 1/384 (* J l)))))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
(* J (* l (cos (* 1/2 K))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(cos (* 1/2 K))
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/2 K)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
(* 1/3 l)
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* 1/3 (pow l 2)))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/60 l)
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
Outputs
U
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (/.f64 U J))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (/.f64 U J))))
(* J (- (+ (exp l) (/ U J)) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (/.f64 U J))))
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (exp.f64 l) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (exp.f64 l) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (- (exp l) (/ 1 (exp l)))) (* -1 (/ U J)))))
(*.f64 J (-.f64 (exp.f64 l) (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (/.f64 U J))))
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 l (fma.f64 l (*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)))) (*.f64 J #s(literal 2 binary64))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(* J (- (exp l) (/ 1 (exp l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
U
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(*.f64 U (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (/.f64 J U) #s(literal 1 binary64)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(*.f64 U (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (/.f64 J U) #s(literal 1 binary64)))
(* U (+ 1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)))
(*.f64 U (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (/.f64 J U) #s(literal 1 binary64)))
U
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) U))
(* -1 (* U (- (* -1 (/ (* J (- (exp l) (/ 1 (exp l)))) U)) 1)))
(*.f64 (fma.f64 (-.f64 (exp.f64 (-.f64 #s(literal 0 binary64) l)) (exp.f64 l)) (/.f64 J U) #s(literal -1 binary64)) (-.f64 #s(literal 0 binary64) U))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* J l)
(*.f64 J l)
(* l (+ J (* 1/6 (* J (pow l 2)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/6 binary64) #s(literal 1 binary64))))
(* l (+ J (* (pow l 2) (+ (* 1/120 (* J (pow l 2))) (* 1/6 J)))))
(*.f64 l (fma.f64 (*.f64 J (*.f64 l l)) (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64)) J))
(* l (+ J (* (pow l 2) (+ (* 1/6 J) (* (pow l 2) (+ (* 1/5040 (* J (pow l 2))) (* 1/120 J)))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64))) (*.f64 J #s(literal 1/6 binary64))) J))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
(* 1/2 (* J (- (exp l) (/ 1 (exp l)))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) (*.f64 J #s(literal 1/2 binary64)))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/6 binary64) #s(literal 1 binary64)))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/120 binary64) #s(literal 1/6 binary64))) #s(literal 1 binary64)))
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/5040 binary64) #s(literal 1/120 binary64)) #s(literal 1/6 binary64)) #s(literal 1 binary64)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) #s(literal 1/2 binary64))
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* J (+ (* 2 l) (/ U J)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* J (+ (* 2 l) (/ U J)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* J (+ (* 2 l) (/ U J)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* l (+ (* 2 J) (/ U l)))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* l (+ (* 2 J) (/ U l)))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* l (+ (* 2 J) (/ U l)))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 l (fma.f64 J #s(literal 2 binary64) (/.f64 U l)))
(* 2 (* J l))
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
U
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J l) U) #s(literal 1 binary64)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J l) U) #s(literal 1 binary64)))
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 U (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 J l) U) #s(literal 1 binary64)))
U
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1
#s(literal 1 binary64)
(+ 1 (* -1/8 (pow K 2)))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* 1/384 (pow K 2)) 1/8)))
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(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
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(cos (* 1/2 K))
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2
#s(literal 2 binary64)
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#s(literal 1/60 binary64)
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1/3
#s(literal 1/3 binary64)
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(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (+.f64 (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/60 binary64) (*.f64 l l))) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))

eval180.0ms (1.3%)

Memory
13.7MiB live, 395.4MiB allocated
Compiler

Compiled 32 538 to 2 434 computations (92.5% saved)

prune153.0ms (1.1%)

Memory
-31.4MiB live, 345.9MiB allocated
Pruning

31 alts after pruning (27 fresh and 4 done)

PrunedKeptTotal
New1 062231 085
Fresh6410
Picked325
Done022
Total1 071311 102
Accuracy
100.0%
Counts
1 102 → 31
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
69.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
69.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
✓100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
▶80.6%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
▶19.1%
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
60.6%
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
75.4%
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
52.4%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
▶60.7%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
79.5%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
51.7%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
80.6%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
78.0%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
✓84.4%
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
27.9%
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
27.9%
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
39.5%
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
24.7%
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
35.1%
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
60.1%
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
71.5%
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
80.3%
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
54.0%
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
32.8%
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
26.1%
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
28.0%
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
✓27.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
▶25.8%
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
▶19.8%
(*.f64 #s(literal 2 binary64) (*.f64 J l))
✓43.2%
U
Compiler

Compiled 1 230 to 777 computations (36.8% saved)

simplify351.0ms (2.5%)

Memory
-22.8MiB live, 551.2MiB allocated
Algorithm
1×egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 l l)
✓cost-diff0
(fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
✓cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓cost-diff0
(*.f64 J l)
✓cost-diff0
(*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
✓cost-diff0
(*.f64 K K)
✓cost-diff640
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
✓cost-diff0
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
✓cost-diff0
(*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
✓cost-diff0
(*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
✓cost-diff0
(*.f64 J l)
✓cost-diff0
(*.f64 #s(literal 2 binary64) (*.f64 J l))
✓cost-diff0
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓cost-diff0
(fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))
✓cost-diff0
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
✓cost-diff0
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Rules
8 224×accelerator-lowering-fma.f32
8 224×accelerator-lowering-fma.f64
3 804×*-lowering-*.f32
3 804×*-lowering-*.f64
2 404×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053429
1162413
2556393
31948393
43674393
54304393
64808393
75013393
85081393
95091393
107480393
117588393
127588393
137694393
147694393
08658349
Stop Event
1×iter limit
1×node limit
Calls
Call 1
Inputs
(+ (* (* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)) J) U)
(* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2))
l
(+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)
(* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))
(+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)
(* l l)
(+ (* l (* l 1/2520)) 1/60)
(* l 1/2520)
1/2520
1/60
1/3
2
J
U
(* 2 (* J l))
2
(* J l)
J
l
(* 2 (* J (* l (+ (* -1/8 (* K K)) 1))))
2
(* J (* l (+ (* -1/8 (* K K)) 1)))
J
(* l (+ (* -1/8 (* K K)) 1))
l
(+ (* -1/8 (* K K)) 1)
-1/8
(* K K)
K
1
(+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) (* 2 (* J l)))
(* K K)
K
(* (* J l) (+ (* 1/192 (* K K)) -1/4))
(* J l)
J
l
(+ (* 1/192 (* K K)) -1/4)
1/192
-1/4
(* 2 (* J l))
2
(+ (* J (* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))) U)
J
(* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))
l
(+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2)
(* l l)
(+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)
(/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))
(* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l)
(+ (* (* (* l l) (* l l)) 1/6350400) -1/3600)
(* (* l l) (* l l))
1/6350400
-1/3600
(+ (* l (* l 1/2520)) -1/60)
(* l 1/2520)
1/2520
-1/60
1/3
2
U
Outputs
(+ (* (* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)) J) U)
(fma.f64 l (*.f64 (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)) J) U)
(* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
l
(+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))
(*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)))
(+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)
(fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))) #s(literal 1/3 binary64))
(* l l)
(*.f64 l l)
(+ (* l (* l 1/2520)) 1/60)
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
(* l 1/2520)
(*.f64 l #s(literal 1/2520 binary64))
1/2520
#s(literal 1/2520 binary64)
1/60
#s(literal 1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
J
U
(* 2 (* J l))
(*.f64 l (*.f64 #s(literal 2 binary64) J))
2
#s(literal 2 binary64)
(* J l)
(*.f64 l J)
J
l
(* 2 (* J (* l (+ (* -1/8 (* K K)) 1))))
(*.f64 (*.f64 l J) (fma.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/8 binary64) (*.f64 K K)) #s(literal 2 binary64)))
2
#s(literal 2 binary64)
(* J (* l (+ (* -1/8 (* K K)) 1)))
(*.f64 l (*.f64 J (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
J
(* l (+ (* -1/8 (* K K)) 1))
(*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
l
(+ (* -1/8 (* K K)) 1)
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
-1/8
#s(literal -1/8 binary64)
(* K K)
(*.f64 K K)
K
1
#s(literal 1 binary64)
(+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) (* 2 (* J l)))
(*.f64 l (*.f64 J (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))) #s(literal 2 binary64))))
(* K K)
(*.f64 K K)
K
(* (* J l) (+ (* 1/192 (* K K)) -1/4))
(*.f64 J (*.f64 l (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))))
(* J l)
(*.f64 l J)
J
l
(+ (* 1/192 (* K K)) -1/4)
(fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64))
1/192
#s(literal 1/192 binary64)
-1/4
#s(literal -1/4 binary64)
(* 2 (* J l))
(*.f64 l (*.f64 #s(literal 2 binary64) J))
2
#s(literal 2 binary64)
(+ (* J (* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))) U)
(fma.f64 l (*.f64 J (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
J
(* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))
l
(+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2)
(fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (/.f64 (fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(* l l)
(*.f64 l l)
(+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)
(fma.f64 (*.f64 l l) (/.f64 (fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64)) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))) #s(literal 1/3 binary64))
(/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))
(/.f64 (*.f64 l (fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64)))
(* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l)
(*.f64 l (fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64)))
(+ (* (* (* l l) (* l l)) 1/6350400) -1/3600)
(fma.f64 l (*.f64 #s(literal 1/6350400 binary64) (*.f64 l (*.f64 l l))) #s(literal -1/3600 binary64))
(* (* l l) (* l l))
(*.f64 l (*.f64 l (*.f64 l l)))
1/6350400
#s(literal 1/6350400 binary64)
-1/3600
#s(literal -1/3600 binary64)
(+ (* l (* l 1/2520)) -1/60)
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal -1/60 binary64))
(* l 1/2520)
(*.f64 l #s(literal 1/2520 binary64))
1/2520
#s(literal 1/2520 binary64)
-1/60
#s(literal -1/60 binary64)
1/3
#s(literal 1/3 binary64)
2
#s(literal 2 binary64)
U

localize186.0ms (1.3%)

Memory
17.7MiB live, 443.0MiB allocated
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
✓accuracy99.8%
(*.f64 (*.f64 l l) (*.f64 l l))
✓accuracy99.6%
(fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64))
✓accuracy98.5%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
✓accuracy73.8%
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64)))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 J l))
✓accuracy99.9%
(fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))
✓accuracy91.2%
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
✓accuracy88.8%
(*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64)))
✓accuracy100.0%
(*.f64 K K)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
✓accuracy95.1%
(*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
✓accuracy93.8%
(*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
✓accuracy100.0%
(*.f64 J l)
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 J l))
✓accuracy99.9%
(fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
✓accuracy99.9%
(fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64))
✓accuracy99.7%
(*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))
✓accuracy98.5%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
Samples
116.0ms256×0valid
Compiler

Compiled 387 to 55 computations (85.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 90.0ms
ival-mult: 43.0ms (47.7% of total)
const: 24.0ms (26.6% of total)
ival-add: 16.0ms (17.7% of total)
ival-div: 6.0ms (6.7% of total)
exact: 1.0ms (1.1% of total)
ival-true: 0.0ms (0% of total)
ival-assert: 0.0ms (0% of total)

series46.0ms (0.3%)

Memory
1.7MiB live, 118.2MiB allocated
Counts
23 → 456
Calls
Call 1
Inputs
#<alt (+ (* (* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)) J) U)>
#<alt (* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2))>
#<alt (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)>
#<alt (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))>
#<alt (* 2 (* J l))>
#<alt (* J l)>
#<alt (* 2 (* J (* l (+ (* -1/8 (* K K)) 1))))>
#<alt (* J (* l (+ (* -1/8 (* K K)) 1)))>
#<alt (* l (+ (* -1/8 (* K K)) 1))>
#<alt (+ (* -1/8 (* K K)) 1)>
#<alt (+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) (* 2 (* J l)))>
#<alt (* K K)>
#<alt (* (* J l) (+ (* 1/192 (* K K)) -1/4))>
#<alt (+ (* J (* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))) U)>
#<alt (* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))>
#<alt (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2)>
#<alt (* l l)>
#<alt (+ (* l (* l 1/2520)) 1/60)>
#<alt (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)>
#<alt (+ (* 1/192 (* K K)) -1/4)>
#<alt (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))>
#<alt (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600)>
#<alt (* (* l l) (* l l))>
Outputs
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))>
#<alt U>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/3 l)>
#<alt (* l (+ 1/3 (* 1/60 (pow l 2))))>
#<alt (* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))>
#<alt (* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))>
#<alt (* 1/2520 (pow l 5))>
#<alt (* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 5))>
#<alt (* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* 2 (* J l))>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* J l)>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))>
#<alt (* 2 (* J l))>
#<alt (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))>
#<alt (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))>
#<alt (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))>
#<alt (* -1/4 (* J (* (pow K 2) l)))>
#<alt (* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))>
#<alt (* -1/4 (* J (* (pow K 2) l)))>
#<alt (* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))>
#<alt (* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J (* l (+ 1 (* -1/8 (pow K 2)))))>
#<alt (* J l)>
#<alt (+ (* -1/8 (* J (* (pow K 2) l))) (* J l))>
#<alt (+ (* -1/8 (* J (* (pow K 2) l))) (* J l))>
#<alt (+ (* -1/8 (* J (* (pow K 2) l))) (* J l))>
#<alt (* -1/8 (* J (* (pow K 2) l)))>
#<alt (* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))>
#<alt (* -1/8 (* J (* (pow K 2) l)))>
#<alt (* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt (* l (+ 1 (* -1/8 (pow K 2))))>
#<alt l>
#<alt (+ l (* -1/8 (* (pow K 2) l)))>
#<alt (+ l (* -1/8 (* (pow K 2) l)))>
#<alt (+ l (* -1/8 (* (pow K 2) l)))>
#<alt (* -1/8 (* (pow K 2) l))>
#<alt (* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))>
#<alt (* -1/8 (* (pow K 2) l))>
#<alt (* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))>
#<alt (* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))>
#<alt 1>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (+ 1 (* -1/8 (pow K 2)))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* -1/8 (pow K 2))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* (pow K 2) (- (/ 1 (pow K 2)) 1/8))>
#<alt (* 2 (* J l))>
#<alt (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))>
#<alt (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))>
#<alt (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))>
#<alt (* 1/192 (* J (* (pow K 4) l)))>
#<alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))>
#<alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))>
#<alt (* 1/192 (* J (* (pow K 4) l)))>
#<alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))>
#<alt (* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (pow K 2)>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* J (* l (- (* 1/192 (pow K 2)) 1/4)))>
#<alt (* -1/4 (* J l))>
#<alt (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))>
#<alt (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))>
#<alt (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))>
#<alt (* 1/192 (* J (* (pow K 2) l)))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* 1/192 (* J (* (pow K 2) l)))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt (* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))>
#<alt U>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))) (/ U J)))>
#<alt (* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))) (/ U J)))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) (* -1 (/ U J)))))>
#<alt (* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) (* -1 (/ U J)))))>
#<alt U>
#<alt (+ U (* 2 (* J l)))>
#<alt (+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))>
#<alt (+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))>
#<alt (* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))>
#<alt (* 1/2520 (* J (pow l 7)))>
#<alt (* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))>
#<alt (* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))>
#<alt (* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))>
#<alt (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))>
#<alt (+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))>
#<alt U>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)))>
#<alt (* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)))>
#<alt U>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)) 1)))>
#<alt (* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)) 1)))>
#<alt (* 2 l)>
#<alt (* l (+ 2 (* 1/3 (pow l 2))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))>
#<alt (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 7))>
#<alt (* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))>
#<alt (* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))>
#<alt 2>
#<alt (+ 2 (* 1/3 (pow l 2)))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))>
#<alt (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (* 1/2520 (pow l 6))>
#<alt (* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt (pow l 2)>
#<alt 1/60>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (+ 1/60 (* 1/2520 (pow l 2)))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 2))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt 1/3>
#<alt (+ 1/3 (* 1/60 (pow l 2)))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* 1/2520 (pow l 4))>
#<alt (* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt (* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))>
#<alt -1/4>
#<alt (- (* 1/192 (pow K 2)) 1/4)>
#<alt (- (* 1/192 (pow K 2)) 1/4)>
#<alt (- (* 1/192 (pow K 2)) 1/4)>
#<alt (* 1/192 (pow K 2))>
#<alt (* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))>
#<alt (* 1/192 (pow K 2))>
#<alt (* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))>
#<alt (* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))>
#<alt (* 1/60 l)>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* l (+ 1/60 (* 1/2520 (pow l 2))))>
#<alt (* 1/2520 (pow l 3))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* 1/2520 (pow l 3))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt (* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))>
#<alt -1/3600>
#<alt (- (* 1/6350400 (pow l 4)) 1/3600)>
#<alt (- (* 1/6350400 (pow l 4)) 1/3600)>
#<alt (- (* 1/6350400 (pow l 4)) 1/3600)>
#<alt (* 1/6350400 (pow l 4))>
#<alt (* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))>
#<alt (* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))>
#<alt (* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))>
#<alt (* 1/6350400 (pow l 4))>
#<alt (* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))>
#<alt (* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))>
#<alt (* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
#<alt (pow l 4)>
Calls

114 calls:

TimeVariablePointExpression
14.0ms
l
@-inf
(* l (+ (* -1/8 (* K K)) 1))
2.0ms
l
@inf
(+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) (* 2 (* J l)))
2.0ms
J
@0
(+ (* J (* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))) U)
1.0ms
J
@0
(+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) (* 2 (* J l)))
1.0ms
J
@0
(* 2 (* J (* l (+ (* -1/8 (* K K)) 1))))

rewrite473.0ms (3.4%)

Memory
16.7MiB live, 977.7MiB allocated
Algorithm
1×batch-egg-rewrite
Rules
7 130×accelerator-lowering-fma.f32
7 130×accelerator-lowering-fma.f64
4 696×*-lowering-*.f32
4 696×*-lowering-*.f64
3 142×/-lowering-/.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
053291
1319277
22882277
08786242
Stop Event
1×iter limit
1×node limit
Counts
23 → 670
Calls
Call 1
Inputs
(+ (* (* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)) J) U)
(* l (+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2))
(+ (* l (* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))) 2)
(* l (+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3))
(* 2 (* J l))
(* J l)
(* 2 (* J (* l (+ (* -1/8 (* K K)) 1))))
(* J (* l (+ (* -1/8 (* K K)) 1)))
(* l (+ (* -1/8 (* K K)) 1))
(+ (* -1/8 (* K K)) 1)
(+ (* (* K K) (* (* J l) (+ (* 1/192 (* K K)) -1/4))) (* 2 (* J l)))
(* K K)
(* (* J l) (+ (* 1/192 (* K K)) -1/4))
(+ (* J (* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))) U)
(* l (+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2))
(+ (* (* l l) (+ (* l (/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))) 1/3)) 2)
(* l l)
(+ (* l (* l 1/2520)) 1/60)
(+ (* (* l l) (+ (* l (* l 1/2520)) 1/60)) 1/3)
(+ (* 1/192 (* K K)) -1/4)
(/ (* (+ (* (* (* l l) (* l l)) 1/6350400) -1/3600) l) (+ (* l (* l 1/2520)) -1/60))
(+ (* (* (* l l) (* l l)) 1/6350400) -1/3600)
(* (* l l) (* l l))
Outputs
(+.f64 U (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 U U) (fma.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (neg.f64 U))))
(-.f64 (/.f64 (*.f64 U U) (-.f64 U (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))) (/.f64 (*.f64 (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (-.f64 U (*.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))))))
(fma.f64 l (*.f64 J (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l J) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 l J) U)
(fma.f64 (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 J (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) l U)
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(/.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal -1/12960000 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal 1/12960000 binary64)) (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal -1/22861440000 binary64))) (fma.f64 (*.f64 (*.f64 l l) (*.f64 l (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 l l) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/256096265048064000000 binary64)) #s(literal -1/46656000000 binary64)))))
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(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal -1/12960000 binary64))) (neg.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l))))) #s(literal 1/256096265048064000000 binary64)) #s(literal 1/46656000000 binary64)) (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) (+.f64 #s(literal 1/12960000 binary64) (*.f64 (*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)))) #s(literal 1/3600 binary64)))))
(/.f64 (-.f64 #s(literal 1/12960000 binary64) (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64))) (-.f64 #s(literal -1/3600 binary64) (*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) (*.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) #s(literal 1/12960000 binary64))) (*.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l))))) #s(literal 1/256096265048064000000 binary64)) #s(literal 1/46656000000 binary64))) (neg.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) (+.f64 #s(literal 1/12960000 binary64) (*.f64 (*.f64 l (*.f64 l (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)))) #s(literal 1/3600 binary64))))))
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1/12960000 binary64) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) (fma.f64 (/.f64 #s(literal 1/12960000 binary64) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) (/.f64 #s(literal 1/12960000 binary64) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64)) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))) (/.f64 #s(literal 1/12960000 binary64) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)))))))
(pow.f64 (/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal 1/12960000 binary64)) (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal -1/22861440000 binary64))) (fma.f64 (*.f64 (*.f64 l l) (*.f64 l (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 l l) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/256096265048064000000 binary64)) #s(literal -1/46656000000 binary64))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64)) (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal -1/12960000 binary64))) #s(literal -1 binary64))
(*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l (*.f64 l (*.f64 l l)))) (*.f64 (*.f64 (*.f64 l l) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/256096265048064000000 binary64)) #s(literal -1/46656000000 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal 1/12960000 binary64)) (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal -1/22861440000 binary64)))))
(*.f64 (fma.f64 (*.f64 (*.f64 l (*.f64 l (*.f64 l l))) (*.f64 l (*.f64 l (*.f64 l l)))) #s(literal 1/40327580160000 binary64) #s(literal -1/12960000 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (*.f64 (*.f64 l l) #s(literal 1/6350400 binary64)) #s(literal 1/3600 binary64))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 l)) #s(literal 2 binary64)))
(exp.f64 (*.f64 (log.f64 l) #s(literal 4 binary64)))
(exp.f64 (fma.f64 #s(literal 2 binary64) (log.f64 l) (*.f64 #s(literal 2 binary64) (log.f64 l))))
(pow.f64 l #s(literal 4 binary64))
(pow.f64 (*.f64 l l) #s(literal 2 binary64))
(pow.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1 binary64))
(*.f64 l (*.f64 l (*.f64 l l)))
(*.f64 (*.f64 l l) (*.f64 l l))
(*.f64 #s(literal 1 binary64) (*.f64 l (*.f64 l (*.f64 l l))))
(*.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1 binary64))
(*.f64 (*.f64 l (*.f64 l l)) l)

simplify653.0ms (4.7%)

Memory
13.4MiB live, 728.7MiB allocated
Algorithm
1×egg-herbie
Rules
13 682×accelerator-lowering-fma.f32
13 682×accelerator-lowering-fma.f64
5 656×*-lowering-*.f32
5 656×*-lowering-*.f64
3 926×+-lowering-+.f64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02615548
18715340
227425248
368195244
081544787
Stop Event
1×iter limit
1×node limit
Counts
456 → 456
Calls
Call 1
Inputs
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 1/2520 (* J (pow l 7)))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 7)))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
U
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))) (/ U J)))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) (* -1 (/ U J)))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/3 l)
(* l (+ 1/3 (* 1/60 (pow l 2))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* l (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 5) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 5))
(* (pow l 5) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 5) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* 2 (* J l))
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* J l)
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J (* l (+ 1 (* -1/8 (pow K 2))))))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(* -1/4 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(* (pow K 2) (+ (* -1/4 (* J l)) (* 2 (/ (* J l) (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J (* l (+ 1 (* -1/8 (pow K 2)))))
(* J l)
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(+ (* -1/8 (* J (* (pow K 2) l))) (* J l))
(* -1/8 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))
(* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))
(* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))
(* -1/8 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))
(* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))
(* (pow K 2) (+ (* -1/8 (* J l)) (/ (* J l) (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
(* l (+ 1 (* -1/8 (pow K 2))))
l
(+ l (* -1/8 (* (pow K 2) l)))
(+ l (* -1/8 (* (pow K 2) l)))
(+ l (* -1/8 (* (pow K 2) l)))
(* -1/8 (* (pow K 2) l))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* -1/8 (* (pow K 2) l))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
(* (pow K 2) (+ (* -1/8 l) (/ l (pow K 2))))
1
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* -1/8 (pow K 2)))
(+ 1 (* -1/8 (pow K 2)))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* -1/8 (pow K 2))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* (pow K 2) (- (/ 1 (pow K 2)) 1/8))
(* 2 (* J l))
(+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l)))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* 1/192 (* J (* (pow K 4) l)))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* (pow K 4) (+ (* -1/4 (/ (* J l) (pow K 2))) (+ (* 1/192 (* J l)) (* 2 (/ (* J l) (pow K 4))))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* J (+ (* 2 l) (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* J (+ (* -2 l) (* -1 (* (pow K 2) (* l (- (* 1/192 (pow K 2)) 1/4)))))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* l (+ (* 2 J) (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(* -1 (* l (+ (* -2 J) (* -1 (* J (* (pow K 2) (- (* 1/192 (pow K 2)) 1/4)))))))
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(pow K 2)
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* J (* l (- (* 1/192 (pow K 2)) 1/4)))
(* -1/4 (* J l))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* 1/192 (* J (* (pow K 2) l)))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
(* (pow K 2) (+ (* -1/4 (/ (* J l) (pow K 2))) (* 1/192 (* J l))))
U
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))) (/ U J)))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))) (/ U J)))
(* J (+ (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))) (/ U J)))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) (* -1 (/ U J)))))
U
(+ U (* 2 (* J l)))
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(* 1/2520 (* J (pow l 7)))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(* 1/2520 (* J (pow l 7)))
(* -1 (* (pow l 7) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))
(* -1 (* (pow l 7) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J)))))
(* -1 (* (pow l 7) (+ (* -2 (/ J (pow l 6))) (+ (* -1/3 (/ J (pow l 4))) (+ (* -1/60 (/ J (pow l 2))) (* -1/2520 J))))))
(* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60)))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))
(+ U (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))))
U
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)))
(* U (+ 1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)))
U
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (+ 2 (* (pow l 2) (+ 1/3 (/ (* (pow l 2) (- (* 1/6350400 (pow l 4)) 1/3600)) (- (* 1/2520 (pow l 2)) 1/60))))))) U)) 1)))
(* 2 l)
(* l (+ 2 (* 1/3 (pow l 2))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 7))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
2
(+ 2 (* 1/3 (pow l 2)))
(+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2)))))
(+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(* 1/2520 (pow l 6))
(* (pow l 6) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 6) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
(pow l 2)
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(+ 1/60 (* 1/2520 (pow l 2)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* 1/2520 (pow l 4))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
-1/4
(- (* 1/192 (pow K 2)) 1/4)
(- (* 1/192 (pow K 2)) 1/4)
(- (* 1/192 (pow K 2)) 1/4)
(* 1/192 (pow K 2))
(* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))
(* 1/192 (pow K 2))
(* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))
(* (pow K 2) (- 1/192 (* 1/4 (/ 1 (pow K 2)))))
(* 1/60 l)
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* l (+ 1/60 (* 1/2520 (pow l 2))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 3))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(* (pow l 3) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
-1/3600
(- (* 1/6350400 (pow l 4)) 1/3600)
(- (* 1/6350400 (pow l 4)) 1/3600)
(- (* 1/6350400 (pow l 4)) 1/3600)
(* 1/6350400 (pow l 4))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(* 1/6350400 (pow l 4))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
(pow l 4)
Outputs
U
(+ U (* 2 (* J l)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(+ U (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(+ U (* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J))))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(* 1/2520 (* J (pow l 7)))
(*.f64 J (*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))
(* (pow l 7) (+ (* 1/2520 J) (* 1/60 (/ J (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (fma.f64 J #s(literal 1/2520 binary64) (*.f64 J (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (* 1/3 (/ J (pow l 4))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (fma.f64 J (+.f64 #s(literal 1/2520 binary64) (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))) (*.f64 J (/.f64 #s(literal 1/60 binary64) (*.f64 l l)))))
(* (pow l 7) (+ (* 1/2520 J) (+ (* 1/60 (/ J (pow l 2))) (+ (* 1/3 (/ J (pow l 4))) (* 2 (/ J (pow l 6)))))))
(*.f64 (pow.f64 l #s(literal 7 binary64)) (fma.f64 J #s(literal 1/2520 binary64) (fma.f64 J (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 l l) (*.f64 l l))) (/.f64 #s(literal 2 binary64) (pow.f64 l #s(literal 6 binary64)))) (*.f64 J (/.f64 #s(literal 1/60 binary64) (*.f64 l l))))))
(* 1/2520 (* J (pow l 7)))
(*.f64 J (*.f64 #s(literal 1/2520 binary64) (pow.f64 l #s(literal 7 binary64))))
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(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/6350400 binary64) (/.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/6350400 binary64) (/.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* 1/6350400 (pow l 4))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/6350400 binary64) (/.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/6350400 binary64) (/.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(* (pow l 4) (- 1/6350400 (* 1/3600 (/ 1 (pow l 4)))))
(*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) (-.f64 #s(literal 1/6350400 binary64) (/.f64 #s(literal 1/3600 binary64) (*.f64 (*.f64 l l) (*.f64 l l)))))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))
(pow l 4)
(*.f64 (*.f64 l l) (*.f64 l l))

eval372.0ms (2.7%)

Memory
-3.8MiB live, 358.7MiB allocated
Compiler

Compiled 45 132 to 3 377 computations (92.5% saved)

prune209.0ms (1.5%)

Memory
3.4MiB live, 383.2MiB allocated
Pruning

35 alts after pruning (28 fresh and 7 done)

PrunedKeptTotal
New1 296111 307
Fresh51722
Picked235
Done044
Total1 303351 338
Accuracy
100.0%
Counts
1 338 → 35
Alt Table
Click to see full alt table
StatusAccuracyProgram
67.0%
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
69.0%
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
69.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
✓100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
80.6%
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
51.7%
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
80.6%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
✓80.6%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
79.5%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
78.0%
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
60.6%
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
✓19.1%
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
78.1%
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
75.4%
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
52.4%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
60.7%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
80.6%
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
✓84.4%
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
27.9%
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
27.9%
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
39.5%
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
24.7%
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
35.1%
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
28.1%
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
60.1%
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
71.5%
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
80.3%
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
10.7%
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
54.0%
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
32.8%
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
26.1%
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
✓27.9%
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
11.7%
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
✓19.8%
(*.f64 #s(literal 2 binary64) (*.f64 J l))
✓43.2%
U
Compiler

Compiled 1 768 to 721 computations (59.2% saved)

regimes196.0ms (1.4%)

Memory
-11.5MiB live, 348.9MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J U)
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (*.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l))) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))))))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
Calls

10 calls:

35.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
24.0ms
l
18.0ms
(/.f64 K #s(literal 2 binary64))
18.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
17.0ms
U
Results
AccuracySegmentsBranch
100.0%1J
100.0%1l
100.0%1K
100.0%1U
100.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
100.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
100.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
100.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
100.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
100.0%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes154.0ms (1.1%)

Memory
13.6MiB live, 369.2MiB allocated
Counts
57 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

10 calls:

17.0ms
K
16.0ms
l
16.0ms
U
16.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
J
Results
AccuracySegmentsBranch
95.5%1J
95.5%1l
97.4%2K
95.5%1U
95.5%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
95.5%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
95.5%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
95.5%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
97.6%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
97.4%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes156.0ms (1.1%)

Memory
8.9MiB live, 374.6MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

10 calls:

23.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
U
16.0ms
l
16.0ms
K
16.0ms
J
Results
AccuracySegmentsBranch
93.6%1U
93.6%1J
93.6%1l
93.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
93.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
93.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
93.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
96.2%2K
96.2%2(/.f64 K #s(literal 2 binary64))
96.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes50.0ms (0.4%)

Memory
-23.9MiB live, 134.1MiB allocated
Counts
54 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

3 calls:

16.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
15.0ms
K
Results
AccuracySegmentsBranch
94.7%2K
94.7%2(/.f64 K #s(literal 2 binary64))
95.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 20 to 17 computations (15% saved)

regimes163.0ms (1.2%)

Memory
4.6MiB live, 281.2MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(*.f64 U (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)))
Outputs
(fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

10 calls:

28.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
18.0ms
J
17.0ms
l
15.0ms
(/.f64 K #s(literal 2 binary64))
15.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
91.0%2K
91.0%2(/.f64 K #s(literal 2 binary64))
92.4%3J
89.1%2U
89.7%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
89.7%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
88.4%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
91.3%3l
88.2%2(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
92.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes59.0ms (0.4%)

Memory
23.9MiB live, 103.7MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J U)
(+.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

4 calls:

16.0ms
K
14.0ms
(/.f64 K #s(literal 2 binary64))
14.0ms
J
13.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.1%3J
84.4%1K
84.4%1(/.f64 K #s(literal 2 binary64))
90.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 25 to 21 computations (16% saved)

regimes18.0ms (0.1%)

Memory
-13.9MiB live, 23.0MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) J)) l U)
Outputs
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

1 calls:

16.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
90.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes55.0ms (0.4%)

Memory
-2.7MiB live, 71.7MiB allocated
Counts
46 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) J) l)
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 K #s(literal 1/2 binary64)))) l) J)
Outputs
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U)
Calls

4 calls:

16.0ms
l
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
11.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
10.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
84.4%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
84.4%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
84.4%1l
89.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 49 to 38 computations (22.4% saved)

regimes119.0ms (0.9%)

Memory
28.3MiB live, 184.6MiB allocated
Counts
42 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) (*.f64 l l)) #s(literal 1/6350400 binary64) #s(literal -1/3600 binary64)) l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal -1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (/.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (/.f64 (*.f64 (fma.f64 (*.f64 l l) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) l) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) J U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 (fma.f64 (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) (*.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)))) #s(literal -1/9 binary64)) (*.f64 l l)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal -1/3 binary64))) #s(literal 2 binary64))) U)
Outputs
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Calls

10 calls:

15.0ms
J
13.0ms
l
12.0ms
K
12.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
12.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
80.6%1K
80.6%1(/.f64 K #s(literal 2 binary64))
80.6%1l
83.3%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.3%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
80.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
80.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
82.5%2J
80.6%1U
85.4%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes13.0ms (0.1%)

Memory
-20.9MiB live, 23.1MiB allocated
Counts
36 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 (*.f64 K K) (fma.f64 K (*.f64 K (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 J l)))
(fma.f64 (*.f64 l (fma.f64 l (fma.f64 (fma.f64 l (*.f64 l #s(literal 1/2520 binary64)) #s(literal 1/60 binary64)) (*.f64 l (*.f64 l l)) (*.f64 l #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(*.f64 U (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))) (/.f64 J U) #s(literal 1 binary64)))
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 (*.f64 l (*.f64 l (*.f64 l l))) #s(literal 1/2520 binary64) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)))) #s(literal 2 binary64))) J U)
(*.f64 U (fma.f64 J (*.f64 (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)) (/.f64 l U)) #s(literal 1 binary64)))
Outputs
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Calls

1 calls:

11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
84.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes9.0ms (0.1%)

Memory
25.2MiB live, 25.2MiB allocated
Counts
28 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 K K) (*.f64 (*.f64 J l) (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)))
(*.f64 (*.f64 J l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) (fma.f64 (*.f64 J (*.f64 (*.f64 K K) l)) (fma.f64 K (*.f64 K #s(literal 1/192 binary64)) #s(literal -1/4 binary64)) U))
Outputs
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U)
Calls

1 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
84.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 7 computations (12.5% saved)

regimes22.0ms (0.2%)

Memory
-2.5MiB live, 36.0MiB allocated
Counts
24 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(+.f64 (*.f64 (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/384 binary64) #s(literal -1/8 binary64)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l))) U)
Outputs
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Calls

3 calls:

8.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
6.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
6.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
82.2%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
82.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
83.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 44 to 34 computations (22.7% saved)

regimes17.0ms (0.1%)

Memory
-3.4MiB live, 32.0MiB allocated
Counts
22 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) #s(literal 2 binary64))) J U)
(*.f64 J (*.f64 #s(literal 1/3 binary64) (*.f64 l (*.f64 l (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))))
(*.f64 #s(literal 2 binary64) (*.f64 (fma.f64 K (*.f64 K (fma.f64 K (*.f64 K #s(literal 1/384 binary64)) #s(literal -1/8 binary64))) #s(literal 1 binary64)) (*.f64 J l)))
(*.f64 (*.f64 J l) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
(fma.f64 l (fma.f64 (*.f64 l l) (*.f64 J (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64))) (*.f64 #s(literal 2 binary64) J)) U)
Outputs
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U)
Calls

2 calls:

9.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
7.0ms
J
Results
AccuracySegmentsBranch
81.1%2J
82.3%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 13 to 11 computations (15.4% saved)

regimes70.0ms (0.5%)

Memory
-26.8MiB live, 87.1MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) U)
(fma.f64 (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) J U)
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (*.f64 #s(literal -1/8 binary64) (*.f64 K K)))))
(*.f64 #s(literal 2 binary64) (*.f64 J (*.f64 l (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))))
(*.f64 l (*.f64 J (fma.f64 (*.f64 K K) (fma.f64 (*.f64 K K) #s(literal 1/192 binary64) #s(literal -1/4 binary64)) #s(literal 2 binary64))))
Outputs
(fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U)
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
Calls

10 calls:

23.0ms
l
9.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
5.0ms
(/.f64 K #s(literal 2 binary64))
5.0ms
U
5.0ms
K
Results
AccuracySegmentsBranch
79.6%2J
78.0%1U
78.0%1l
78.0%1K
78.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
78.0%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
78.0%1(/.f64 K #s(literal 2 binary64))
78.0%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
78.0%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
80.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes29.0ms (0.2%)

Memory
-9.5MiB live, 28.7MiB allocated
Counts
10 → 1
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(fma.f64 l (*.f64 J (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) U)
Outputs
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
Calls

5 calls:

15.0ms
(/.f64 K #s(literal 2 binary64))
4.0ms
J
4.0ms
K
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Results
AccuracySegmentsBranch
78.0%1K
78.0%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
78.0%1(/.f64 K #s(literal 2 binary64))
78.0%1J
78.0%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 37 to 30 computations (18.9% saved)

regimes52.0ms (0.4%)

Memory
14.5MiB live, 52.8MiB allocated
Counts
8 → 2
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(*.f64 J (fma.f64 l #s(literal 2 binary64) (/.f64 U J)))
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
Calls

10 calls:

24.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
3.0ms
l
3.0ms
K
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
60.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
66.1%3l
66.0%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
66.2%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
66.2%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
60.6%1J
60.6%1U
60.6%1K
65.3%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
60.6%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes20.0ms (0.1%)

Memory
5.5MiB live, 43.3MiB allocated
Counts
6 → 1
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 (*.f64 l #s(literal 2 binary64)) J U)
(*.f64 K (*.f64 K (*.f64 J (*.f64 l #s(literal -1/4 binary64)))))
Outputs
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
Calls

7 calls:

6.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
3.0ms
l
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
K
2.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
Results
AccuracySegmentsBranch
60.6%1K
60.6%1(/.f64 K #s(literal 2 binary64))
60.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
60.6%1l
60.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
60.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
60.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
Compiler

Compiled 75 to 58 computations (22.7% saved)

regimes22.0ms (0.2%)

Memory
-17.3MiB live, 27.1MiB allocated
Counts
3 → 1
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
Outputs
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
Calls

10 calls:

5.0ms
K
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
U
2.0ms
J
Results
AccuracySegmentsBranch
60.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
60.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
60.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
60.6%1J
60.6%1U
60.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
60.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
60.6%1l
60.6%1K
60.6%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes26.0ms (0.2%)

Memory
-7.7MiB live, 31.7MiB allocated
Counts
2 → 3
Calls
Call 1
Inputs
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 J l))
U
(*.f64 #s(literal 2 binary64) (*.f64 J l))
Calls

10 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
U
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
l
2.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
54.9%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
54.9%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
43.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
50.5%3J
43.2%1U
54.9%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
54.9%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
55.0%3l
45.7%2K
45.7%2(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 93 to 73 computations (21.5% saved)

regimes11.0ms (0.1%)

Memory
28.5MiB live, 28.5MiB allocated
Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
1 → 1
Calls
Call 1
Inputs
U
Outputs
U
Calls

9 calls:

1.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
1.0ms
(/.f64 K #s(literal 2 binary64))
1.0ms
l
1.0ms
J
1.0ms
U
Results
AccuracySegmentsBranch
43.2%1U
43.2%1K
43.2%1(/.f64 K #s(literal 2 binary64))
43.2%1J
43.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
43.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
43.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
43.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
43.2%1l
Compiler

Compiled 85 to 66 computations (22.4% saved)

bsearch1.0ms (0%)

Memory
1.0MiB live, 1.0MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9584831511931494
0.9607203302847146
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch23.0ms (0.2%)

Memory
-37.8MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
0.9584831511931494
0.9607203302847146
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.3MiB live, 1.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch1.0ms (0%)

Memory
0.9MiB live, 0.9MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.7MiB live, 0.7MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.06953747414071221
0.05524120161203316
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.503328249928887
-0.49567544301730243
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
-0.503328249928887
-0.49567544301730243
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
1×left-value
Steps
TimeLeftRight
0.0ms
2.6885201290417106e-38
+inf
Compiler

Compiled 22 to 21 computations (4.5% saved)

bsearch35.0ms (0.2%)

Memory
28.0MiB live, 64.7MiB allocated
Algorithm
2×binary-search
Stop Event
1×narrow-enough
1×narrow-enough
Steps
TimeLeftRight
18.0ms
132290108719141.92
483027551694159200.0
14.0ms
-2.3569724092503108e+57
-4.304528520203562e+55
Samples
24.0ms240×0valid
Compiler

Compiled 54 to 47 computations (13% saved)

Precisions
Click to see histograms. Total time spent on operations: 17.0ms
ival-cos: 4.0ms (22.9% of total)
ival-div: 3.0ms (17.2% of total)
ival-exp: 3.0ms (17.2% of total)
ival-mult: 3.0ms (17.2% of total)
ival-add: 1.0ms (5.7% of total)
ival-sub: 1.0ms (5.7% of total)
ival-neg: 1.0ms (5.7% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

simplify18.0ms (0.1%)

Memory
-11.7MiB live, 30.8MiB allocated
Algorithm
1×egg-herbie
Rules
68×*-commutative_binary64
12×+-commutative_binary64
6×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0115558
1163558
2168558
3171558
4172558
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 4789048565205903/95780971304118053647396689196894323976171195136475136 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(if (<=.f64 l #s(literal -44000000000000002083698310118480875207937423467916296192 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) (if (<=.f64 l #s(literal 135000000000000 binary64)) U (*.f64 #s(literal 2 binary64) (*.f64 J l))))
U
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 J (sinh.f64 l)) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 1080863910568919/1125899906842624 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 (*.f64 l l) #s(literal 1/60 binary64) #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 (*.f64 (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (+.f64 U (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 J (*.f64 l (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)))))) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 l (*.f64 (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 l (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) J)) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (*.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 J l)) #s(literal 2 binary64) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (cos.f64 (*.f64 K #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 J l)) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 #s(literal 2 binary64) (*.f64 J (sinh.f64 l)) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64)))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 (*.f64 l (*.f64 l l)) #s(literal 1/2520 binary64))) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (*.f64 l (*.f64 #s(literal 1/2520 binary64) (*.f64 l (*.f64 l l)))) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (*.f64 J l) (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64))) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/72057594037927936 binary64)) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (fma.f64 l (*.f64 l #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 J l)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) (fma.f64 l (*.f64 l #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) #s(literal 2 binary64))) U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) U) (fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U))
(fma.f64 J (*.f64 l (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) U)
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal 4789048565205903/95780971304118053647396689196894323976171195136475136 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(if (<=.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (-.f64 #s(literal 0 binary64) l)))) #s(literal 4789048565205903/95780971304118053647396689196894323976171195136475136 binary64)) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U) (*.f64 (*.f64 J l) (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(fma.f64 #s(literal 2 binary64) (*.f64 J l) U)
(if (<=.f64 l #s(literal -44000000000000002083698310118480875207937423467916296192 binary64)) (*.f64 #s(literal 2 binary64) (*.f64 J l)) (if (<=.f64 l #s(literal 135000000000000 binary64)) U (*.f64 #s(literal 2 binary64) (*.f64 J l))))
U

soundness1.7s (12.3%)

Memory
35.8MiB live, 1 438.1MiB allocated
Rules
18 378×accelerator-lowering-fma.f32
18 378×accelerator-lowering-fma.f64
17 838×accelerator-lowering-fma.f32
17 838×accelerator-lowering-fma.f64
15 114×accelerator-lowering-fma.f32
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
16337
242437
0448536
03575072
112085056
242824780
083314427
01461623
14441622
213781522
334391522
083461438
042198
1228198
21801198
08475176
04518269
115138261
254657668
088007107
042245
1225245
21699245
08135222
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×iter limit
1×node limit
Compiler

Compiled 1 632 to 845 computations (48.2% saved)

preprocess141.0ms (1%)

Memory
-25.2MiB live, 303.0MiB allocated
Remove

(abs K)

Compiler

Compiled 1 204 to 280 computations (76.7% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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