Maksimov and Kolovsky, Equation (4)

Time bar (total: 11.3s)

start0.0ms (0%)

Memory
0.1MiB live, 0.1MiB allocated

analyze0.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
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)

sample2.3s (20.5%)

Memory
-56.9MiB live, 2 782.6MiB allocated
Samples
1.1s6 425×0valid
858.0ms1 831×1valid
Precisions
Click to see histograms. Total time spent on operations: 1.4s
ival-exp: 563.0ms (40.8% of total)
ival-cos: 265.0ms (19.2% of total)
ival-mult: 167.0ms (12.1% of total)
ival-sub: 117.0ms (8.5% of total)
ival-div: 116.0ms (8.4% of total)
ival-add: 52.0ms (3.8% of total)
adjust: 43.0ms (3.1% of total)
ival-neg: 39.0ms (2.8% of total)
ival-true: 7.0ms (0.5% of total)
exact: 6.0ms (0.4% of total)
ival-assert: 4.0ms (0.3% of total)
Bogosity

explain249.0ms (2.2%)

Memory
-9.2MiB live, 302.9MiB allocated
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
1090-0-(-.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))))
0143(-3.6376277845935105e-282 2.353405276974704e-168 8.354809483051089e+222 3.9767109969177374e+34)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
00-0-(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)))sensitivity1431
-.f64(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))cancellation301
Confusion
Predicted +Predicted -
+290
-123104
Precision
0.19078947368421054
Recall
1.0
Confusion?
Predicted +Predicted MaybePredicted -
+2900
-1231103
Precision?
0.1895424836601307
Recall?
1.0
Freqs
test
numberfreq
0104
1131
221
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
62.0ms170×1valid
35.0ms298×0valid
23.0ms44×2valid
Compiler

Compiled 202 to 60 computations (70.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 87.0ms
ival-exp: 40.0ms (45.8% of total)
ival-cos: 17.0ms (19.4% of total)
ival-mult: 9.0ms (10.3% of total)
adjust: 6.0ms (6.9% of total)
ival-sub: 4.0ms (4.6% of total)
ival-div: 4.0ms (4.6% of total)
ival-add: 4.0ms (4.6% of total)
ival-neg: 2.0ms (2.3% of total)
ival-true: 1.0ms (1.1% of total)
ival-assert: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

preprocess166.0ms (1.5%)

Memory
18.0MiB live, 219.9MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066214
1220211
2723210
33757197
01415
02315
15015
213015
356714
4341814
0857613
Stop Event
iter limit
node limit
iter limit
node limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J) U)
Symmetry

(abs K)

Compiler

Compiled 15 to 14 computations (6.7% saved)

eval0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Compiler

Compiled 0 to 4 computations (-∞% saved)

prune1.0ms (0%)

Memory
1.2MiB live, 1.2MiB allocated
Alt Table
Click to see full alt table
StatusAccuracyProgram
89.4%
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Compiler

Compiled 15 to 14 computations (6.7% saved)

simplify108.0ms (1%)

Memory
15.5MiB live, 126.9MiB allocated
Algorithm
egg-herbie
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
cost-diff0
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
cost-diff128
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01461
02361
15061
213061
356757
4341857
0857656
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U
Outputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J) U)
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(*.f64 (+.f64 (sinh.f64 l) (sinh.f64 l)) J)
J
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(+.f64 (sinh.f64 l) (sinh.f64 l))
(exp.f64 l)
l
(exp.f64 (neg.f64 l))
(neg.f64 l)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
#s(literal 2 binary64)
U

localize89.0ms (0.8%)

Memory
-6.3MiB live, 116.4MiB allocated
Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy0
(exp.f64 l)
accuracy0
(cos.f64 (/.f64 K #s(literal 2 binary64)))
accuracy0.08984375
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy25.57821816109689
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
Samples
46.0ms85×1valid
22.0ms149×0valid
11.0ms22×2valid
Compiler

Compiled 124 to 30 computations (75.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 55.0ms
ival-exp: 19.0ms (34.5% of total)
ival-mult: 13.0ms (23.6% of total)
ival-cos: 13.0ms (23.6% of total)
adjust: 3.0ms (5.4% of total)
ival-sub: 2.0ms (3.6% of total)
ival-div: 2.0ms (3.6% of total)
ival-add: 2.0ms (3.6% of total)
ival-neg: 1.0ms (1.8% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series21.0ms (0.2%)

Memory
-6.2MiB live, 31.3MiB allocated
Counts
6 → 44
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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))))))))
(* 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))))))))))
(* 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
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (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)))))))))))
(+ (* -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))))))))))
(+ 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))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
6.0ms
J
@inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)) (exp l))
2.0ms
J
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)) (exp l))
2.0ms
K
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)) (exp l))
2.0ms
l
@0
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)) (exp l))
2.0ms
J
@-inf
((+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (- (exp l) (exp (neg l))) (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (* J (- (exp l) (exp (neg l)))) (cos (/ K 2)) (exp l))

simplify162.0ms (1.4%)

Memory
-16.7MiB live, 192.3MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0157781
1614781
22550671
08052614
Stop Event
iter limit
node limit
Counts
44 → 43
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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))))))))
(* 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))))))))))
(* 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
(+ 1 l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(- (exp l) (exp (neg l)))
(exp l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(- (exp l) (exp (* -1 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (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)))))))))))
(+ (* -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))))))))))
(+ 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))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (/.f64 U J)) J)
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l 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 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* 2 (* J (* l (cos (* 1/2 K)))))
(*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
(* 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))))))))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)))) (*.f64 l l))) l)
(* 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))))))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))) l)
(* 2 (* J l))
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 J (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) J) l))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(*.f64 (fma.f64 (pow.f64 l #s(literal 4 binary64)) (*.f64 J (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l)
1
#s(literal 1 binary64)
(+ 1 l)
(+.f64 #s(literal 1 binary64) l)
(+ 1 (* l (+ 1 (* 1/2 l))))
(fma.f64 (fma.f64 #s(literal 1/2 binary64) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(+ 1 (* l (+ 1 (* l (+ 1/2 (* 1/6 l))))))
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) l #s(literal 1/2 binary64)) l #s(literal 1 binary64)) l #s(literal 1 binary64))
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(exp l)
(exp.f64 l)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U)
(+ 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))))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ 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)))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) U))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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)))))))))
(fma.f64 (*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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))))))))))
(fma.f64 (pow.f64 K #s(literal 4 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) J (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)))) (*.f64 (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)))
(+ 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 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)

rewrite179.0ms (1.6%)

Memory
-7.3MiB live, 183.1MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
02340
18540
263240
0821539
Stop Event
iter limit
node limit
iter limit
Counts
6 → 488
Calls
Call 1
Inputs
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(exp.f64 l)
Outputs
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64)))) (fma.f64 U (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)) (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U)))
(*.f64 (/.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (-.f64 (*.f64 (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)))) U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64))))
(*.f64 (/.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))))))
(*.f64 (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)) (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
(*.f64 (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64)) (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))))
(*.f64 (neg.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)))))
(*.f64 (neg.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)))))
(*.f64 (fma.f64 (neg.f64 U) U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U))))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64))))
(*.f64 (+.f64 (pow.f64 U #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (*.f64 U U)) #s(literal -1 binary64)))
(*.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U) (*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))))
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) U)) #s(literal -1 binary64))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 4 binary64)) (pow.f64 U #s(literal 4 binary64))) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U)) #s(literal -1 binary64))) (fma.f64 U U (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) #s(literal 2 binary64))))
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(fma.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 1/2 binary64) (cosh.f64 l))
(-.f64 (cosh.f64 l) (sinh.f64 (neg.f64 l)))
(-.f64 (exp.f64 l) #s(literal 0 binary64))
(exp.f64 l)
(+.f64 (/.f64 (cosh.f64 l) #s(literal 1 binary64)) (/.f64 (sinh.f64 l) #s(literal 1 binary64)))
(+.f64 (/.f64 (sinh.f64 l) #s(literal 1 binary64)) (/.f64 (cosh.f64 l) #s(literal 1 binary64)))
(+.f64 (/.f64 (pow.f64 (cosh.f64 l) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)) (pow.f64 (cosh.f64 l) #s(literal 2 binary64)))) (/.f64 (pow.f64 (sinh.f64 l) #s(literal 3 binary64)) (fma.f64 (sinh.f64 (neg.f64 l)) (exp.f64 (neg.f64 l)) (pow.f64 (cosh.f64 l) #s(literal 2 binary64)))))
(+.f64 (cosh.f64 l) (sinh.f64 l))
(+.f64 (sinh.f64 l) (cosh.f64 l))

eval71.0ms (0.6%)

Memory
15.9MiB live, 128.1MiB allocated
Compiler

Compiled 18 048 to 2 163 computations (88% saved)

prune21.0ms (0.2%)

Memory
7.3MiB live, 44.7MiB allocated
Pruning

10 alts after pruning (10 fresh and 0 done)

PrunedKeptTotal
New51510525
Fresh000
Picked101
Done000
Total51610526
Accuracy
100.0%
Counts
526 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
96.2%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.8%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.1%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.0%
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
59.5%
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
71.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
83.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
Compiler

Compiled 574 to 406 computations (29.3% saved)

simplify152.0ms (1.4%)

Memory
10.5MiB live, 162.7MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
cost-diff0
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
cost-diff128
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
cost-diff0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
cost-diff0
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) 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 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049486
083486
1177486
2549486
32681466
08041462
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(literal -1/2 binary64)
K
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (sinh.f64 l) U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (sinh.f64 l))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
(*.f64 K #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
K
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (cos.f64 (/.f64 K #s(literal -2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal -2 binary64))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal -2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
J
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
(cos.f64 (/.f64 K #s(literal 2 binary64)))
(cos.f64 (/.f64 K #s(literal -2 binary64)))
(/.f64 K #s(literal 2 binary64))
K
U

localize246.0ms (2.2%)

Memory
-20.4MiB live, 347.7MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.08984375
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.27911026248445137
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy4.016759753181154
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy0.0390625
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
accuracy0.08984375
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
accuracy0.1015625
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy10.495998881920357
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
accuracy0.09765625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy0.1015625
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy4.4861786434106605
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy11.315758671225414
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
accuracy0
(*.f64 #s(literal -1/2 binary64) K)
accuracy0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.08984375
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
accuracy25.8902999879097
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
accuracy0
(sinh.f64 l)
accuracy0
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
accuracy0.015625
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.0390625
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
Samples
91.0ms85×1valid
90.0ms149×0valid
24.0ms22×2valid
Compiler

Compiled 851 to 96 computations (88.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 168.0ms
const: 37.0ms (22% of total)
ival-mult: 36.0ms (21.4% of total)
ival-exp: 32.0ms (19% of total)
ival-add: 28.0ms (16.6% of total)
ival-cos: 18.0ms (10.7% of total)
adjust: 9.0ms (5.3% of total)
ival-sub: 2.0ms (1.2% of total)
ival-div: 2.0ms (1.2% of total)
ival-sinh: 1.0ms (0.6% of total)
ival-neg: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

series67.0ms (0.6%)

Memory
23.9MiB live, 104.7MiB allocated
Counts
25 → 123
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(sinh.f64 l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 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) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(+ 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)))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 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))))))))))
(* 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)))))))
(* 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))))))))
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))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ 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)))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp 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)))
(* -1/2 K)
(+ 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 (* 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 (* 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)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* -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))))))))))
(cos (* -1/2 K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
12.0ms
K
@0
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
7.0ms
J
@inf
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
7.0ms
J
@-inf
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
6.0ms
l
@inf
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))
6.0ms
J
@0
((+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* -1/2 K) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (+ (* (* 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)))) (- (exp l) (exp (neg l))) (sinh l) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (* (+ (* (* l l) 1/3) 2) l) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3))

simplify178.0ms (1.6%)

Memory
-17.7MiB live, 173.2MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04092269
116282218
273612214
081242047
Stop Event
iter limit
node limit
Counts
123 → 121
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(* 2 (* J l))
(* 2 J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (- (exp l) (exp (neg l))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* 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) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ 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) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(+ 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)))))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(* 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))))))))))
(* 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)))))))
(* 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))))))))
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))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(- (exp l) (exp (neg l)))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/3 (pow l 3))
(* (pow l 3) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l)))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(+ 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)))))))))))
(- (exp l) (/ 1 (exp l)))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp 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)))
(* -1/2 K)
(+ 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 (* 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 (* 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)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ (* -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))))))))))
(cos (* -1/2 K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) 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) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
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(+ U (* 2 (* J l)))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(+ U (+ (* 2 (* J l)) (* (pow K 2) (+ (* -1/4 (* J l)) (* 1/192 (* J (* (pow K 2) l)))))))
(fma.f64 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 #s(literal 2 binary64) l) J 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 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64)) (*.f64 K K) U))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K)) (*.f64 K K) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l)))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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)))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(+ (* 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 J U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) #s(literal -1 binary64)))

rewrite256.0ms (2.3%)

Memory
-12.7MiB live, 210.2MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049372
083352
1318350
22489350
08122348
Stop Event
iter limit
node limit
iter limit
Counts
25 → 519
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal -1/2 binary64) K)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(sinh.f64 l)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64)))) #s(literal -1 binary64))
(pow.f64 (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal -1 binary64))
(/.f64 (neg.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))) (neg.f64 (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))))
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (*.f64 U U)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)))))
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 J (*.f64 (sinh.f64 l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 3 binary64)) #s(literal 8 binary64) (pow.f64 U #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (*.f64 U U))) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U)) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (neg.f64 U))))
(/.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 3 binary64)) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (pow.f64 U #s(literal 3 binary64)))) (*.f64 (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (fma.f64 U (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (*.f64 U U) (pow.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) #s(literal 2 binary64))) (-.f64 U (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sinh.f64 l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
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(+.f64 (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l)))) (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 3 binary64)) (pow.f64 l #s(literal 6 binary64))) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l)))) (/.f64 #s(literal 1/27 binary64) (-.f64 (fma.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) (*.f64 #s(literal 1/3 binary64) l)))))
(+.f64 (/.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) #s(literal 2 binary64)) (pow.f64 l #s(literal 4 binary64))) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))) (/.f64 #s(literal -1/9 binary64) (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal -1/3 binary64))))
(+.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l) #s(literal 1/3 binary64))
(+.f64 #s(literal 1/3 binary64) (*.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) l) l))

eval126.0ms (1.1%)

Memory
20.8MiB live, 207.4MiB allocated
Compiler

Compiled 33 147 to 3 363 computations (89.9% saved)

prune37.0ms (0.3%)

Memory
1.9MiB live, 92.4MiB allocated
Pruning

23 alts after pruning (22 fresh and 1 done)

PrunedKeptTotal
New73021751
Fresh415
Picked415
Done000
Total73823761
Accuracy
100.0%
Counts
761 → 23
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
96.2%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
66.4%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
74.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
59.5%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
92.8%
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
83.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
43.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
39.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
44.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
54.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
57.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
63.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
27.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
31.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
40.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
47.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
29.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
66.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
56.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 1 722 to 1 214 computations (29.5% saved)

simplify133.0ms (1.2%)

Memory
4.1MiB live, 150.1MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
cost-diff0
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
cost-diff0
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
cost-diff0
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
cost-diff0
#s(approx (cos (* -1/2 K)) #s(literal 1 binary64))
cost-diff0
(*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
cost-diff0
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
cost-diff0
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
cost-diff0
(*.f64 #s(literal 2 binary64) l)
cost-diff0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
cost-diff0
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
cost-diff0
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060454
093454
1209454
2661454
32960444
08308440
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* -1/2 K)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
J
U
Outputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64))
#s(literal 1/2520 binary64)
(*.f64 l l)
l
#s(literal 1/60 binary64)
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(fma.f64 (*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) J)
J
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
U
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 (*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) J) #s(literal 2 binary64)) (sinh.f64 l) U)
(*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) #s(literal 2 binary64)) (sinh.f64 l))
#s(approx (cos (* -1/2 K)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(sinh.f64 l)
l
#s(literal 2 binary64)
J
U
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) J U)
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))
(*.f64 #s(literal 2 binary64) l)
#s(literal 2 binary64)
l
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
J
U

localize365.0ms (3.2%)

Memory
-3.1MiB live, 441.4MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy0
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
accuracy0.015625
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
accuracy0.09375
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
accuracy34.52599311903177
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
accuracy0
(sinh.f64 l)
accuracy0.015625
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
accuracy0.0390625
(*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
accuracy32.63103491437919
#s(approx (cos (* -1/2 K)) #s(literal 1 binary64))
accuracy0.1015625
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
accuracy4.4861786434106605
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
accuracy11.315758671225414
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
accuracy35.109288259047105
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
accuracy0
(*.f64 #s(literal 2 binary64) l)
accuracy16.332613038490912
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
accuracy25.8902999879097
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
accuracy0.046875
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy0.05859375
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy0.27911026248445137
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
accuracy4.016759753181154
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
Samples
193.0ms85×1valid
100.0ms149×0valid
30.0ms22×2valid
Compiler

Compiled 776 to 121 computations (84.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 252.0ms
ival-mult: 78.0ms (31% of total)
ival-add: 54.0ms (21.5% of total)
ival-cos: 48.0ms (19.1% of total)
ival-exp: 39.0ms (15.5% of total)
adjust: 12.0ms (4.8% of total)
const: 12.0ms (4.8% of total)
ival-sub: 2.0ms (0.8% of total)
ival-div: 2.0ms (0.8% of total)
ival-sinh: 2.0ms (0.8% of total)
exact: 1.0ms (0.4% of total)
ival-neg: 1.0ms (0.4% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.4%)

Memory
8.5MiB live, 83.6MiB allocated
Counts
25 → 129
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* -1/2 K)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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)))))))
(* 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))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 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)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* 1/2 K))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
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))))))))
(- (exp l) (exp (neg l)))
(* 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)))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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))))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -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)))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(+ 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 (+ (* -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 (* 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)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
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)))
(+ 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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
7.0ms
J
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* (sinh l) 2) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (* (* 2 l) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (sinh l) (cos (* 1/2 K)))
5.0ms
K
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* (sinh l) 2) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (* (* 2 l) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (sinh l) (cos (* 1/2 K)))
5.0ms
l
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* (sinh l) 2) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (* (* 2 l) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (sinh l) (cos (* 1/2 K)))
5.0ms
l
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* (sinh l) 2) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (* (* 2 l) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (sinh l) (cos (* 1/2 K)))
3.0ms
J
@0
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (* 2 l) J) U) (* 2 l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (cos (* -1/2 K)) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (cos (* -1/2 K)) (* (sinh l) 2) (+ (* (* (cos (* -1/2 K)) (* (sinh l) 2)) J) U) (* (cos (* -1/2 K)) (* (sinh l) 2)) (* (* 2 l) (cos (* 1/2 K))) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* J (+ (* (* l l) 1/3) 2)) (+ (* (* l l) 1/3) 2) (sinh l) (cos (* 1/2 K)))

simplify174.0ms (1.5%)

Memory
-11.2MiB live, 144.5MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04592244
118032191
279502191
080032026
Stop Event
iter limit
node limit
Counts
129 → 127
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(* J (+ 2 (* 1/3 (pow l 2))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* 2 (* J l))
(* J (+ (* 2 l) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(+ 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)))))))))
(* 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)))))))
(* 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))))))))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 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)))))))))
(* 2 (* l (cos (* -1/2 K))))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(* 2 (* l (cos (* 1/2 K))))
1/60
(+ 1/60 (* 1/2520 (pow l 2)))
1/3
(+ 1/3 (* 1/60 (pow l 2)))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(* 2 J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
2
(+ 2 (* 1/3 (pow l 2)))
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))))))))
(- (exp l) (exp (neg l)))
(* 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)))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(- (exp l) (/ 1 (exp l)))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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))))))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (pow l 2))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(* 1/2 (- (exp l) (/ 1 (exp l))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -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)))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(+ 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 (+ (* -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 (* 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)))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
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)))
(+ 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)))))))))))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(cos (* -1/2 K))
(cos (* 1/2 K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (- (exp l) (exp (neg l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(+ U (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))))
(*.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l)))) (/ U J)))
(*.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -1 (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(* -1 (* J (+ (* -1 (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 (fma.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 (*.f64 l l) J) (*.f64 #s(literal 1/60 binary64) J)) l) l (*.f64 #s(literal 1/3 binary64) J)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
(*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2))))))))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* 2 (* J (cos (* -1/2 K))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) 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)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/60 binary64) J)) (*.f64 l l) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* 2 (* l (cos (* -1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 1/3 (* (pow l 2) (cos (* -1/2 K)))) (* 2 (cos (* -1/2 K)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/60 (* (pow l 2) (cos (* -1/2 K)))) (* 1/3 (cos (* -1/2 K)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* l (+ (* 2 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/3 (cos (* -1/2 K))) (* (pow l 2) (+ (* 1/2520 (* (pow l 2) (cos (* -1/2 K)))) (* 1/60 (cos (* -1/2 K)))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))) (*.f64 l l)) (*.f64 l l))) l)
(* 2 (* l (cos (* 1/2 K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
1/60
#s(literal 1/60 binary64)
(+ 1/60 (* 1/2520 (pow l 2)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
1/3
#s(literal 1/3 binary64)
(+ 1/3 (* 1/60 (pow l 2)))
(fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64))
(+ 1/3 (* (pow l 2) (+ 1/60 (* 1/2520 (pow l 2)))))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
2
#s(literal 2 binary64)
(+ 2 (* 1/3 (pow l 2)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
l
(* l (+ 1 (* 1/6 (pow l 2))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) #s(literal 1/6 binary64) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* 1/120 (pow l 2))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 #s(literal 1/120 binary64) (*.f64 l l) #s(literal 1/6 binary64)) l)
(* l (+ 1 (* (pow l 2) (+ 1/6 (* (pow l 2) (+ 1/120 (* 1/5040 (pow l 2))))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (fma.f64 #s(literal 1/5040 binary64) (*.f64 l l) #s(literal 1/120 binary64)) (*.f64 l l) #s(literal 1/6 binary64)) l)
(- (exp l) (exp (neg l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2520 (pow l 7))
(*.f64 (pow.f64 l #s(literal 7 binary64)) #s(literal 1/2520 binary64))
(* (pow l 7) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 binary64)) (pow.f64 l #s(literal 7 binary64)))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 l l))) (pow.f64 l #s(literal 7 binary64)))
(* (pow l 7) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (+ (* 1/60 (/ 1 (pow l 2))) (* 2 (/ 1 (pow l 6)))))))
(*.f64 (-.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 l l))) (/.f64 #s(literal -2 binary64) (pow.f64 l #s(literal 6 binary64)))) (pow.f64 l #s(literal 7 binary64)))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J) (/.f64 U l)) l)
(* l (+ (* 2 J) (/ U l)))
(*.f64 (fma.f64 #s(literal 2 binary64) J (/.f64 U l)) l)
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(*.f64 (*.f64 (pow.f64 l #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/3 binary64) J))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) (*.f64 l l))) (pow.f64 l #s(literal 3 binary64)))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 l l))) #s(literal 2 binary64) (/.f64 U (pow.f64 l #s(literal 3 binary64))))) (pow.f64 l #s(literal 3 binary64)))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 #s(literal 1/3 binary64) J))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 #s(literal 2 binary64) J)) (*.f64 l l))) (*.f64 l l))
(* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(- (exp l) (/ 1 (exp l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* 1/2520 (pow l 2))
(*.f64 #s(literal 1/2520 binary64) (*.f64 l l))
(* (pow l 2) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 binary64)) l) l)
(* 1/2520 (pow l 4))
(*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/2520 binary64))
(* (pow l 4) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))
(*.f64 (pow.f64 l #s(literal 4 binary64)) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 binary64)))
(* (pow l 4) (+ 1/2520 (+ (/ 1/3 (pow l 4)) (* 1/60 (/ 1 (pow l 2))))))
(*.f64 (-.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (pow.f64 l #s(literal 4 binary64))) #s(literal 1/2520 binary64)) (/.f64 #s(literal -1/60 binary64) (*.f64 l l))) (pow.f64 l #s(literal 4 binary64)))
(* 1/3 (* J (pow l 2)))
(*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l)
(* 1/3 (pow l 2))
(*.f64 (*.f64 l l) #s(literal 1/3 binary64))
(* (pow l 2) (+ 1/3 (* 2 (/ 1 (pow l 2)))))
(*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)
(* 1/2 (- (exp l) (/ 1 (exp l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) #s(literal 1/2 binary64))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (- (exp l) (exp (* -1 l))))
(*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J)
(- (exp l) (exp (* -1 l)))
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/60 (* 1/3 (/ 1 (pow l 2)))) (pow l 2))) 1/2520)))
(*.f64 (neg.f64 (pow.f64 l #s(literal 7 binary64))) (fma.f64 (/.f64 #s(literal -1 binary64) l) (/.f64 (+.f64 (/.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 1/60 binary64)) l) #s(literal -1/2520 binary64)))
(* -1 (* (pow l 7) (- (* -1 (/ (+ 1/3 (* 2 (/ 1 (pow l 2)))) (pow l 4))) (+ 1/2520 (* 1/60 (/ 1 (pow l 2)))))))
(*.f64 (neg.f64 (pow.f64 l #s(literal 7 binary64))) (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal -1 binary64) #s(literal -1/3 binary64)) (pow.f64 l #s(literal 4 binary64))) (+.f64 (/.f64 #s(literal 1/60 binary64) (*.f64 l l)) #s(literal 1/2520 binary64))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(*.f64 (fma.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U (neg.f64 l))) (neg.f64 l))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(*.f64 (fma.f64 #s(literal -2 binary64) J (/.f64 U (neg.f64 l))) (neg.f64 l))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(*.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (*.f64 l l))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(*.f64 (pow.f64 (neg.f64 l) #s(literal 3 binary64)) (fma.f64 (*.f64 #s(literal -1/3 binary64) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 J (*.f64 l l))) #s(literal -2 binary64) (/.f64 (neg.f64 U) (pow.f64 l #s(literal 3 binary64))))))
(+ U (* J (- (exp l) (exp (neg l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (exp (neg l)))))) (* J (- (exp l) (exp (neg l))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ U (+ (* -1/4 (* J (* (pow K 2) l))) (* 2 (* J l))))
(fma.f64 (*.f64 (*.f64 (*.f64 K K) l) #s(literal -1/4 binary64)) J (fma.f64 (*.f64 J l) #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 (*.f64 (fma.f64 #s(literal 1/192 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) K) K (fma.f64 (*.f64 J l) #s(literal 2 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 (fma.f64 (*.f64 (fma.f64 #s(literal -1/23040 binary64) (*.f64 (*.f64 (*.f64 K K) l) J) (*.f64 #s(literal 1/192 binary64) (*.f64 J l))) K) K (*.f64 #s(literal -1/4 binary64) (*.f64 J l))) (*.f64 K K) (fma.f64 (*.f64 J l) #s(literal 2 binary64) U))
(+ U (* J (* l (+ 2 (* 1/3 (pow l 2))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* J (* l (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J (fma.f64 (*.f64 (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) U))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2)))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal 1/384 binary64)) K) K (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) #s(literal -1/8 binary64))) (*.f64 K K) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))
(+ U (+ (* J (* l (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/8 (* J (* l (+ 2 (* 1/3 (pow l 2)))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (* l (+ 2 (* 1/3 (pow l 2))))))) (* 1/384 (* J (* l (+ 2 (* 1/3 (pow l 2))))))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) J) l) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (*.f64 K K))) (*.f64 K K) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (fma.f64 (*.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
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 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ U (* J (- (exp l) (/ 1 (exp l)))))
(fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U)
(+ U (+ (* -1/8 (* J (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (* J (- (exp l) (/ 1 (exp l))))))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ 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))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(+ 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)))))))))))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (*.f64 (*.f64 #s(literal 1/384 binary64) J) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K))) (*.f64 K K) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(- (+ (exp l) (* -1/8 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) #s(literal -1/8 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* 1/384 (* (pow K 2) (- (exp l) (/ 1 (exp l)))))))) (/ 1 (exp l)))
(fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(- (+ (exp l) (* (pow K 2) (+ (* -1/8 (- (exp l) (/ 1 (exp l)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (- (exp l) (/ 1 (exp l))))) (* 1/384 (- (exp l) (/ 1 (exp l))))))))) (/ 1 (exp l)))
(fma.f64 (fma.f64 (*.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 #s(literal -1/8 binary64) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))) (*.f64 K K) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ (* -1/4 (* (pow K 2) l)) (* 2 l))
(*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* 1/192 (* (pow K 2) l)))))
(fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))
(+ (* 2 l) (* (pow K 2) (+ (* -1/4 l) (* (pow K 2) (+ (* -1/23040 (* (pow K 2) l)) (* 1/192 l))))))
(fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos (* 1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(*.f64 (fma.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 #s(literal 2 binary64) U) #s(literal 1 binary64)) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)))
(fma.f64 (*.f64 U J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) U)
(* U (+ 1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)))
(*.f64 (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (*.f64 #s(literal -2 binary64) J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) (/.f64 l U)) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* -1/2 K)) (- (exp l) (/ 1 (exp l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) U)) #s(literal -1 binary64)))

rewrite239.0ms (2.1%)

Memory
15.5MiB live, 224.9MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
060378
093368
1375368
22828368
08515364
Stop Event
iter limit
node limit
iter limit
Counts
25 → 511
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(*.f64 #s(literal 2 binary64) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))
#s(approx (cos (* -1/2 K)) #s(literal 1 binary64))
(*.f64 (sinh.f64 l) #s(literal 2 binary64))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64))
(fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(sinh.f64 l)
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(literal 1/2520 binary64) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (neg.f64 U)) #s(literal -1 binary64)))
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(fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 (neg.f64 l) (*.f64 (neg.f64 l) #s(literal 1/3 binary64)) #s(literal 2 binary64))
(fma.f64 l (fabs.f64 (*.f64 (neg.f64 l) #s(literal 1/3 binary64))) #s(literal 2 binary64))
(fma.f64 l (fabs.f64 (*.f64 #s(literal 1/3 binary64) l)) #s(literal 2 binary64))
(fma.f64 l (*.f64 #s(literal 1/3 binary64) l) #s(literal 2 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64)) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) (/.f64 #s(literal 4 binary64) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(-.f64 #s(literal 2 binary64) (*.f64 #s(literal -1/3 binary64) (*.f64 l l)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 l l)) #s(literal 1/3 binary64)))
(-.f64 #s(literal 2 binary64) (*.f64 (neg.f64 l) (*.f64 #s(literal 1/3 binary64) l)))
(+.f64 (/.f64 (*.f64 (pow.f64 l #s(literal 6 binary64)) #s(literal 1/27 binary64)) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))) (/.f64 #s(literal 8 binary64) (fma.f64 (pow.f64 l #s(literal 4 binary64)) #s(literal 1/9 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (*.f64 l l) #s(literal 2/3 binary64))))))
(+.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 l l)) #s(literal 2 binary64))
(+.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) (*.f64 l l)))
(*.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 1/2 binary64))
(*.f64 (sinh.f64 l) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (/.f64 (sinh.f64 l) #s(literal 2 binary64)))
(pow.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal -1 binary64))
(/.f64 (neg.f64 (neg.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) #s(literal 2 binary64))
(/.f64 (-.f64 (*.f64 (exp.f64 l) #s(literal 2 binary64)) (*.f64 #s(literal 2 binary64) (exp.f64 (neg.f64 l)))) #s(literal 4 binary64))
(/.f64 (fma.f64 (exp.f64 l) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 #s(literal -1 binary64) (exp.f64 l)))) #s(literal 4 binary64))
(/.f64 (neg.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64))) #s(literal -2 binary64))
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))) (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64)))) (neg.f64 (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cosh.f64 l)) #s(literal 2 binary64)))
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 l) #s(literal 3 binary64)) (pow.f64 (exp.f64 l) #s(literal -3 binary64))) (*.f64 (fma.f64 (exp.f64 l) (exp.f64 l) (+.f64 (pow.f64 (exp.f64 l) #s(literal -2 binary64)) #s(literal 1 binary64))) #s(literal 2 binary64)))
(/.f64 (*.f64 (sinh.f64 l) #s(literal 2 binary64)) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (sinh.f64 l) #s(literal 2 binary64))))
(sinh.f64 l)
(neg.f64 (sinh.f64 (neg.f64 l)))
(-.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (exp.f64 (neg.f64 l)) #s(literal 2 binary64)))
(+.f64 (/.f64 (exp.f64 l) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal -1 binary64) (exp.f64 l)) #s(literal 2 binary64)))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) K))))
(fma.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 K #s(literal 1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) K))))
(sin.f64 (/.f64 (+.f64 K (PI.f64)) #s(literal 2 binary64)))
(sin.f64 (fma.f64 (PI.f64) #s(literal 1/2 binary64) (*.f64 #s(literal -1/2 binary64) K)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(cos.f64 (*.f64 K #s(literal 1/2 binary64)))
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (cos.f64 #s(literal 0 binary64)) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 (sin.f64 #s(literal 0 binary64)) (sin.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 K #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal -1/2 binary64) K))) (*.f64 #s(literal 0 binary64) (sin.f64 (*.f64 #s(literal -1/2 binary64) K))))
(+.f64 (*.f64 (sin.f64 (*.f64 K #s(literal 1/2 binary64))) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 0 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 1 binary64)))

eval122.0ms (1.1%)

Memory
-17.4MiB live, 217.5MiB allocated
Compiler

Compiled 30 493 to 3 122 computations (89.8% saved)

prune73.0ms (0.6%)

Memory
29.6MiB live, 105.7MiB allocated
Pruning

33 alts after pruning (30 fresh and 3 done)

PrunedKeptTotal
New64417661
Fresh41317
Picked325
Done011
Total65133684
Accuracy
100.0%
Counts
684 → 33
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
96.2%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
92.8%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
66.4%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
74.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
59.5%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
43.9%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
39.7%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
45.1%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
83.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
43.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
44.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
54.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
56.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
56.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
57.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
45.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
57.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
44.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
57.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
63.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
27.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
31.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
23.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
47.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
50.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
46.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
16.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
66.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
56.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Compiler

Compiled 2 565 to 1 811 computations (29.4% saved)

simplify228.0ms (2%)

Memory
7.0MiB live, 242.4MiB allocated
Algorithm
egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
cost-diff320
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff320
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff320
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
cost-diff704
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
cost-diff0
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))))
cost-diff0
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
cost-diff320
(fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 2 binary64) J)
cost-diff0
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
cost-diff0
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
cost-diff-128
(+.f64 l l)
cost-diff0
(fma.f64 (+.f64 l l) J U)
cost-diff0
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
cost-diff0
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
cost-diff0
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
cost-diff0
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
cost-diff0
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
cost-diff0
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078890
0125882
1307868
21102818
35939811
08476783
Stop Event
iter limit
node limit
iter limit
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
#s(literal 1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
#s(literal 2 binary64)
J
l
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
l
(*.f64 (*.f64 #s(literal 1/3 binary64) l) J)
(*.f64 #s(literal 1/3 binary64) l)
#s(literal 1/3 binary64)
J
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K)))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(literal -1/8 binary64)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
(*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(literal 1/384 binary64)
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J))
#s(literal -1/46080 binary64)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
U
Outputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
(*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
(fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
(fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64))
#s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64))
#s(literal 1/60 binary64)
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(cos.f64 (*.f64 #s(literal -1/2 binary64) K))
(*.f64 #s(literal 1/2 binary64) K)
(*.f64 K #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
K
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))
(fma.f64 (+.f64 l l) J U)
(fma.f64 (*.f64 #s(literal 2 binary64) l) J U)
(+.f64 l l)
(*.f64 #s(literal 2 binary64) l)
l
J
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(fma.f64 #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) (*.f64 (*.f64 J #s(literal 2 binary64)) l) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 (*.f64 J #s(literal 2 binary64)) l)
(*.f64 #s(literal 2 binary64) J)
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
J
l
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U)
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))) U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) #s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
#s(approx (cos (* -1/2 K)) (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)))
(fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))
(fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64))
(*.f64 K K)
K
#s(literal -1/8 binary64)
#s(literal 1 binary64)
(fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)
l
(*.f64 (*.f64 #s(literal 1/3 binary64) l) J)
(*.f64 #s(literal 1/3 binary64) l)
#s(literal 1/3 binary64)
J
(*.f64 J #s(literal 2 binary64))
#s(literal 2 binary64)
U
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J))) l U)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(fma.f64 (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J)) (*.f64 K K) (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J))
(fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K)))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K) (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64))
#s(literal -1/8 binary64)
(fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))
(fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64))
(*.f64 l l)
l
#s(literal 1/3 binary64)
#s(literal 2 binary64)
J
(*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64))) (*.f64 K K))
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J) (fma.f64 (*.f64 #s(literal -1/46080 binary64) K) K #s(literal 1/384 binary64)))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64))
#s(literal 1/384 binary64)
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 (fma.f64 #s(literal -1/138240 binary64) (*.f64 l l) #s(literal -1/23040 binary64)) K) (*.f64 K J))
(*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J))
(*.f64 (*.f64 (*.f64 K K) J) #s(literal -1/46080 binary64))
#s(literal -1/46080 binary64)
(*.f64 (*.f64 K K) J)
(*.f64 K K)
K
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)) J)
U

localize508.0ms (4.5%)

Memory
-13.1MiB live, 535.6MiB allocated
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
accuracy11.315758671225414
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
accuracy14.1353189956918
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
accuracy16.45304862571763
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
accuracy29.551553226443325
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
accuracy0.17578125
(*.f64 (*.f64 #s(literal 1/3 binary64) l) J)
accuracy0.328125
(*.f64 #s(literal 1/3 binary64) l)
accuracy11.315758671225414
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
accuracy35.109288259047105
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0
(*.f64 #s(literal 2 binary64) J)
accuracy0.08984375
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
accuracy25.8902999879097
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
accuracy35.109288259047105
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
accuracy0
(fma.f64 (+.f64 l l) J U)
accuracy0
(+.f64 l l)
accuracy16.332613038490912
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
accuracy25.8902999879097
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
accuracy0.046875
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
accuracy0.05859375
(fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
accuracy4.016759753181154
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
accuracy34.93514045856789
#s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64))
Samples
225.0ms85×1valid
154.0ms149×0valid
65.0ms22×2valid
Compiler

Compiled 1 474 to 158 computations (89.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 401.0ms
ival-mult: 96.0ms (24% of total)
const: 73.0ms (18.2% of total)
ival-add: 65.0ms (16.2% of total)
ival-cos: 59.0ms (14.7% of total)
ival-exp: 56.0ms (14% of total)
adjust: 46.0ms (11.5% of total)
ival-sub: 2.0ms (0.5% of total)
ival-div: 2.0ms (0.5% of total)
exact: 1.0ms (0.2% of total)
ival-neg: 1.0ms (0.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series109.0ms (1%)

Memory
-30.8MiB live, 159.3MiB allocated
Counts
28 → 138
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) l)
(*.f64 (*.f64 #s(literal 1/3 binary64) l) J)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
Outputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(* J (+ 2 (* 1/3 (pow l 2))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* 1/3 (* J l))
(* J (+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2)))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (- (* -1/3 (pow l 2)) 2)))
(* -1 (* J (* l (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2)))))
(* -1 (* J (+ (* -1 (/ U J)) (* l (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2))))))
(* -1 (* J (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(+ 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)))))))))
(* 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)))))))
(* 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))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))
(+ (* -1/23040 (* J (pow K 2))) (+ (* 1/192 J) (* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))
-1/4
(- (* -1/24 (pow l 2)) 1/4)
1/192
(+ 1/192 (* 1/1152 (pow l 2)))
(* -1/23040 (* J (pow K 2)))
(+ (* -1/23040 (* J (pow K 2))) (* -1/138240 (* J (* (pow K 2) (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (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 l)
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))))
(- (exp l) (exp (neg l)))
(* 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)))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/138240 (* J (pow K 2))) (+ (* 1/1152 J) (* 1/192 (/ J (pow l 2)))))))
(* -1/24 (pow l 2))
(* -1 (* (pow l 2) (+ 1/24 (* 1/4 (/ 1 (pow l 2))))))
(* 1/1152 (pow l 2))
(* (pow l 2) (+ 1/1152 (* 1/192 (/ 1 (pow l 2)))))
(* -1/138240 (* J (* (pow K 2) (pow l 2))))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (* -1/138240 (* J (pow K 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))
(* (pow l 2) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J))))) (/ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (pow l 2))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -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)))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(+ 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 (+ (* -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 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (+ (* -1/8 (* (pow K 2) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))
(+ U (+ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/8 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* 1/384 (* (pow K 2) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))))))
(+ U (+ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/8 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))) (* 1/384 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))))))))
(+ (* -1/8 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(+ (* 1/3 (* J (pow l 2))) (+ (* 2 J) (* (pow K 2) (+ (* -1/8 (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* 1/384 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J))))))))
(+ (* 1/3 (* J (pow l 2))) (+ (* 2 J) (* (pow K 2) (+ (* -1/8 (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* 1/384 (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))))))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
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)))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ U (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))
(* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(cos (* -1/2 K))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) U)) 1)))
Calls

12 calls:

TimeVariablePointExpression
52.0ms
J
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* l (* (* 1/3 l) J)) (* J 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2)) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/3 l) (* (* 1/3 l) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
9.0ms
J
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* l (* (* 1/3 l) J)) (* J 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2)) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/3 l) (* (* 1/3 l) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
8.0ms
l
@inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* l (* (* 1/3 l) J)) (* J 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2)) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/3 l) (* (* 1/3 l) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
7.0ms
J
@0
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* l (* (* 1/3 l) J)) (* J 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2)) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/3 l) (* (* 1/3 l) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))
6.0ms
l
@-inf
((+ (* (* (- (exp l) (exp (neg l))) J) (cos (* 1/2 K))) U) (* (- (exp l) (exp (neg l))) J) (- (exp l) (exp (neg l))) (* (+ (* (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (* l l)) 2) l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (+ (* (+ l l) J) U) (+ l l) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (* (* 2 J) l) (* 2 J) (+ (* l (* (* 1/3 l) J)) (* J 2)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* -1/8 (+ (* (* l l) 1/3) 2)) (* 1/384 (+ (* (* l l) 1/3) 2)) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2)) (+ (* 1/2520 (* l l)) 1/60) (+ (* (+ (* 1/2520 (* l l)) 1/60) (* l l)) 1/3) (cos (* -1/2 K)) (* 1/3 l) (* (* 1/3 l) J) (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U))

simplify199.0ms (1.8%)

Memory
33.2MiB live, 263.8MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04762670
118752430
089882233
Stop Event
iter limit
node limit
Counts
138 → 137
Calls
Call 1
Inputs
U
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))))
(* J (- (exp l) (exp (neg l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(+ U (* 2 (* J l)))
(* 2 (* J l))
(* 2 J)
(* J (+ 2 (* 1/3 (pow l 2))))
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(* 1/3 (* J l))
(* J (+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2)))))))))))
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(* 2 (* J (* l (cos (* -1/2 K)))))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(* J (+ (* 2 l) (/ U J)))
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(* -1 (* J (- (* -1/3 (pow l 2)) 2)))
(* -1 (* J (* l (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2)))))
(* -1 (* J (+ (* -1 (/ U J)) (* l (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2))))))
(* -1 (* J (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(+ 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)))))))))
(* 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)))))))
(* 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))))))))
(+ (* 1/3 (* J (pow l 2))) (* 2 J))
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))))
(* 2 (* J (cos (* -1/2 K))))
(+ (* 1/3 (* J (* (pow l 2) (cos (* -1/2 K))))) (* 2 (* J (cos (* -1/2 K)))))
(+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))
(+ (* -1/23040 (* J (pow K 2))) (+ (* 1/192 J) (* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))
-1/4
(- (* -1/24 (pow l 2)) 1/4)
1/192
(+ 1/192 (* 1/1152 (pow l 2)))
(* -1/23040 (* J (pow K 2)))
(+ (* -1/23040 (* J (pow K 2))) (* -1/138240 (* J (* (pow K 2) (pow l 2)))))
1/60
(+ 1/60 (* 1/2520 (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 l)
(+ (* 2 J) (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))))
(+ (* 2 J) (+ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (* (pow l 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))))
(- (exp l) (exp (neg l)))
(* 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)))))))
(* l (+ (* 2 (* J (cos (* -1/2 K)))) (/ U l)))
(* l (+ (* 2 J) (/ U l)))
(* 1/3 (* J (pow l 2)))
(* (pow l 2) (+ (* 1/3 J) (* 2 (/ J (pow l 2)))))
(* 1/3 (* J (* (pow l 3) (cos (* -1/2 K)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 3) (+ (* 1/3 (* J (cos (* -1/2 K)))) (+ (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (/ U (pow l 3)))))
(* 1/3 (* J (* (pow l 2) (cos (* -1/2 K)))))
(* (pow l 2) (+ (* 1/3 (* J (cos (* -1/2 K)))) (* 2 (/ (* J (cos (* -1/2 K))) (pow l 2)))))
(* (pow l 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (+ (* -1/138240 (* J (pow K 2))) (+ (* 1/1152 J) (* 1/192 (/ J (pow l 2)))))))
(* -1/24 (pow l 2))
(* -1 (* (pow l 2) (+ 1/24 (* 1/4 (/ 1 (pow l 2))))))
(* 1/1152 (pow l 2))
(* (pow l 2) (+ 1/1152 (* 1/192 (/ 1 (pow l 2)))))
(* -1/138240 (* J (* (pow K 2) (pow l 2))))
(* (pow l 2) (+ (* -1/23040 (/ (* J (pow K 2)) (pow l 2))) (* -1/138240 (* J (pow K 2)))))
(* 1/2520 (pow l 2))
(* (pow l 2) (+ 1/2520 (* 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 2) (+ (* 1/3 J) (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J)))))))
(* (pow l 2) (+ (* 1/3 J) (+ (* 2 (/ J (pow l 2))) (+ (* (pow K 2) (+ (* -1/24 J) (* (pow K 2) (+ (* -1/138240 (* J (pow K 2))) (* 1/1152 J))))) (/ (* (pow K 2) (+ (* -1/4 J) (* (pow K 2) (+ (* -1/23040 (* J (pow K 2))) (* 1/192 J))))) (pow l 2))))))
(+ U (* J (* (cos (* 1/2 K)) (- (exp l) (exp (* -1 l))))))
(* J (- (exp l) (exp (* -1 l))))
(- (exp l) (exp (* -1 l)))
(* -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)))))))
(* -1 (* l (+ (* -2 (* J (cos (* -1/2 K)))) (* -1 (/ U l)))))
(* -1 (* l (+ (* -2 J) (* -1 (/ U l)))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (* -1/3 (* J (cos (* -1/2 K)))))))
(* -1 (* (pow l 3) (+ (* -2 (/ (* J (cos (* -1/2 K))) (pow l 2))) (+ (* -1 (/ U (pow l 3))) (* -1/3 (* J (cos (* -1/2 K))))))))
(+ 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 (+ (* -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 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(+ U (+ (* -1/8 (* (pow K 2) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))
(+ U (+ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/8 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* 1/384 (* (pow K 2) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))))))
(+ U (+ (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/8 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))) (* 1/384 (* l (+ (* 1/3 (* J (pow l 2))) (* 2 J))))))))))
(+ (* -1/8 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(+ (* 1/3 (* J (pow l 2))) (+ (* 2 J) (* (pow K 2) (+ (* -1/8 (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* 1/384 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J))))))))
(+ (* 1/3 (* J (pow l 2))) (+ (* 2 J) (* (pow K 2) (+ (* -1/8 (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* 1/384 (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))))))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
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)))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(+ U (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))
(* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(cos (* -1/2 K))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(* U (+ 1 (* 2 (/ (* J l) U))))
(* U (+ 1 (/ (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) U)))
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(* -1 (* U (- (* -1 (/ (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) U)) 1)))
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 (neg.f64 l)))) U)
(* J (- (exp l) (exp (neg l))))
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
(+ U (* 2 (* J (* l (cos (* -1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* 2 (* J l)))
(fma.f64 (*.f64 J l) #s(literal 2 binary64) U)
(* 2 (* J l))
(*.f64 (*.f64 J l) #s(literal 2 binary64))
(* 2 J)
(*.f64 #s(literal 2 binary64) J)
(* J (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)
(+ U (* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* J (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
(* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 J (*.f64 (*.f64 K K) #s(literal -1/46080 binary64))) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(* 1/3 (* J l))
(*.f64 (*.f64 #s(literal 1/3 binary64) l) J)
(* J (+ 2 (+ (* 1/3 (pow l 2)) (* (pow K 2) (+ (* -1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (+ 2 (* 1/3 (pow l 2)))))))))))
(*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64))) (*.f64 K K) (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64))) (*.f64 K K) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J)
(* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))))
(* J (+ (* (cos (* 1/2 K)) (- (exp l) (exp (neg l)))) (/ U J)))
(*.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J)) J)
(* 2 (* J (* l (cos (* -1/2 K)))))
(*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* 2 (* l (cos (* -1/2 K)))) (/ U J)))
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* J (+ (* 2 l) (/ U J)))
(*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J)
(* J (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* J (+ (* l (* (cos (* -1/2 K)) (+ 2 (* 1/3 (pow l 2))))) (/ U J)))
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 U J)) J)
(* -1 (* J (+ (* -1 (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (neg.f64 (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) (/.f64 U J))))
(* -1 (* J (+ (* -2 (* l (cos (* -1/2 K)))) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 #s(literal -2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (+ (* -2 l) (* -1 (/ U J)))))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -2 binary64) l (/.f64 (neg.f64 U) J)))
(* -1 (* J (- (* -1/3 (pow l 2)) 2)))
(*.f64 (neg.f64 J) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)))
(* -1 (* J (* l (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2)))))
(*.f64 (*.f64 (neg.f64 J) l) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1 (* J (+ (* -1 (/ U J)) (* l (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2))))))
(*.f64 (neg.f64 J) (fma.f64 (*.f64 l (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (/.f64 (neg.f64 U) J)))
(* -1 (* J (* (cos (* -1/2 K)) (- (* -1/3 (pow l 2)) 2))))
(*.f64 (neg.f64 J) (*.f64 (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))
(* -1 (* J (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))
(*.f64 (neg.f64 J) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))))
(* -1 (* J (+ (* -1 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* 1/8 (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/384 (+ 2 (* 1/3 (pow l 2)))) (* 1/46080 (* (pow K 2) (+ 2 (* 1/3 (pow l 2))))))))))))
(*.f64 (neg.f64 J) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (fma.f64 #s(literal 1/46080 binary64) (*.f64 K K) #s(literal -1/384 binary64))) (*.f64 K K) (fma.f64 #s(literal 1/24 binary64) (*.f64 l l) #s(literal 1/4 binary64))) (*.f64 K K) (fma.f64 #s(literal -1/3 binary64) (*.f64 l l) #s(literal -2 binary64))))
(+ U (* 2 (* J (* l (cos (* 1/2 K))))))
(fma.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+ U (* l (+ (* 1/3 (* J (* (pow l 2) (cos (* 1/2 K))))) (* 2 (* J (cos (* 1/2 K)))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) 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 (fma.f64 (*.f64 (*.f64 l l) (*.f64 (*.f64 (*.f64 l l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) #s(literal 1/60 binary64) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)
(* l (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l)
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/60 (* J (pow l 2))) (* 1/3 J)))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/60 binary64) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* l (+ (* 2 J) (* (pow l 2) (+ (* 1/3 J) (* (pow l 2) (+ (* 1/2520 (* J (pow l 2))) (* 1/60 J)))))))
(fma.f64 (pow.f64 l #s(literal 3 binary64)) (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 l l) J) #s(literal 1/2520 binary64) (*.f64 J #s(literal 1/60 binary64))) l) l (*.f64 #s(literal 1/3 binary64) J)) (*.f64 (*.f64 J l) #s(literal 2 binary64)))
(* 2 l)
(*.f64 #s(literal 2 binary64) l)
(* l (+ 2 (* 1/3 (pow l 2))))
(*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)
(* l (+ 2 (* (pow l 2) (+ 1/3 (* 1/60 (pow l 2))))))
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(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* 1/3 (* J (pow l 2))) (+ (* 2 J) (* (pow K 2) (+ (* -1/8 (+ (* 1/3 (* J (pow l 2))) (* 2 J))) (* (pow K 2) (+ (* -1/46080 (* (pow K 2) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) (* 1/384 (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(* 1/384 (* J (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J)
(+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))
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)))
(fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ 1 (* (pow K 2) (- (* (pow K 2) (+ 1/384 (* -1/46080 (pow K 2)))) 1/8)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))
(+ (* -1/8 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* J (+ 2 (* 1/3 (pow l 2)))))
(*.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(+ (* J (+ 2 (* 1/3 (pow l 2)))) (* (pow K 2) (+ (* -1/8 (* J (+ 2 (* 1/3 (pow l 2))))) (* (pow K 2) (+ (* -1/46080 (* J (* (pow K 2) (+ 2 (* 1/3 (pow l 2)))))) (* 1/384 (* J (+ 2 (* 1/3 (pow l 2))))))))))
(fma.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 K K) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (*.f64 (*.f64 (*.f64 K K) (*.f64 K K)) (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)))))
(+ U (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))))
(fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))
(*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* (pow K 2) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(*.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (/.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J) (*.f64 K K))) (*.f64 K K))
(cos (* -1/2 K))
(cos.f64 (*.f64 #s(literal 1/2 binary64) K))
(* -1/46080 (* J (* (pow K 6) (+ 2 (* 1/3 (pow l 2))))))
(*.f64 (*.f64 (pow.f64 K #s(literal 6 binary64)) #s(literal -1/46080 binary64)) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
(* (pow K 6) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2)))))
(*.f64 (pow.f64 K #s(literal 6 binary64)) (fma.f64 (*.f64 #s(literal -1/46080 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (/.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J) (*.f64 K K))))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))))))
(*.f64 (+.f64 (/.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (pow.f64 K #s(literal 4 binary64))) (fma.f64 (*.f64 #s(literal -1/46080 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (/.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J) (*.f64 K K)))) (pow.f64 K #s(literal 6 binary64)))
(* (pow K 6) (+ (* -1/8 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 4))) (+ (* -1/46080 (* J (+ 2 (* 1/3 (pow l 2))))) (+ (* 1/384 (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 2))) (/ (* J (+ 2 (* 1/3 (pow l 2)))) (pow K 6))))))
(*.f64 (+.f64 (fma.f64 (*.f64 #s(literal -1/46080 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (fma.f64 J (/.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) (pow.f64 K #s(literal 6 binary64))) (/.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) (*.f64 l l) #s(literal 1/192 binary64)) J) (*.f64 K K)))) (/.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (*.f64 l l) #s(literal -1/4 binary64)) J) (pow.f64 K #s(literal 4 binary64)))) (pow.f64 K #s(literal 6 binary64)))
(* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J))))
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))
(* U (+ 1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)))
(fma.f64 (*.f64 U J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) U)
(* U (+ 1 (* 2 (/ (* J (* l (cos (* -1/2 K)))) U))))
(fma.f64 (*.f64 U #s(literal 2 binary64)) (/.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) U)
(* U (+ 1 (* 2 (/ (* J l) U))))
(*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U)
(* U (+ 1 (/ (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) U)))
(*.f64 (fma.f64 l (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) #s(literal 1 binary64)) U)
(* -1 (* U (- (* -1 (/ (* J (* (cos (* 1/2 K)) (- (exp l) (exp (neg l))))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 J) (/.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) U) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J (* l (cos (* -1/2 K)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 (*.f64 J l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -2 (/ (* J l) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (/.f64 (*.f64 J l) U) #s(literal -2 binary64) #s(literal -1 binary64)))
(* -1 (* U (- (* -1 (/ (* l (* (cos (* -1/2 K)) (+ (* 1/3 (* J (pow l 2))) (* 2 J)))) U)) 1)))
(*.f64 (neg.f64 U) (fma.f64 (neg.f64 l) (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) U) #s(literal -1 binary64)))

rewrite327.0ms (2.9%)

Memory
-1.6MiB live, 319.4MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
078629
0125607
1522598
24405598
08149577
Stop Event
iter limit
node limit
iter limit
Counts
28 → 535
Calls
Call 1
Inputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)
#s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))
(*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U))
(fma.f64 (+.f64 l l) J U)
(+.f64 l l)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
(fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U)
(*.f64 (*.f64 #s(literal 2 binary64) J) l)
(*.f64 #s(literal 2 binary64) J)
(fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U)
(*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64))))
(fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))))
(*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
(*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))
#s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64))
(fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64))
#s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))
(*.f64 #s(literal 1/3 binary64) l)
(*.f64 (*.f64 #s(literal 1/3 binary64) l) J)
#s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)))
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
Outputs
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))) #s(literal 2 binary64)) (*.f64 U U)) (pow.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (neg.f64 U)) #s(literal -1 binary64)))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))) #s(literal 3 binary64)) (pow.f64 U #s(literal 3 binary64))) (pow.f64 (fma.f64 U (-.f64 U (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))))) (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))) #s(literal 2 binary64))) #s(literal -1 binary64)))
(pow.f64 (/.f64 (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (neg.f64 U)) (-.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)))) #s(literal 2 binary64)) (*.f64 U U))) #s(literal -1 binary64))
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eval124.0ms (1.1%)

Memory
-5.4MiB live, 255.4MiB allocated
Compiler

Compiled 44 953 to 3 745 computations (91.7% saved)

prune55.0ms (0.5%)

Memory
12.9MiB live, 173.3MiB allocated
Pruning

34 alts after pruning (29 fresh and 5 done)

PrunedKeptTotal
New65312665
Fresh81725
Picked325
Done033
Total66434698
Accuracy
100.0%
Counts
698 → 34
Alt Table
Click to see full alt table
StatusAccuracyProgram
31.4%
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
100.0%
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
92.8%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
96.2%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
92.8%
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
66.4%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
74.9%
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
59.5%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
43.9%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
39.7%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
45.1%
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
83.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
44.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
43.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
59.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
54.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
56.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
56.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
45.2%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
57.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
57.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
63.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
31.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
52.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
23.0%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
63.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
47.6%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
50.1%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
46.4%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
16.9%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
63.7%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
52.5%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
66.3%
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Compiler

Compiled 3 779 to 1 369 computations (63.8% saved)

regimes185.0ms (1.6%)

Memory
-7.5MiB live, 330.8MiB allocated
Counts
61 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 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)
(fma.f64 (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (/.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) #s(literal 2 binary64)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64))) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))) (/.f64 (*.f64 (neg.f64 U) U) (fma.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (*.f64 (sinh.f64 l) J) #s(literal 2 binary64)) (neg.f64 U))))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

26.0ms
J
21.0ms
K
20.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
20.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
19.0ms
(/.f64 K #s(literal 2 binary64))
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 53 to 73 computations (-37.7% saved)

regimes240.0ms (2.1%)

Memory
2.8MiB live, 233.7MiB allocated
Counts
58 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))) J U))
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Calls

10 calls:

63.0ms
l
41.0ms
(/.f64 K #s(literal 2 binary64))
25.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
17.0ms
U
17.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
96.2%1J
96.2%1l
96.2%1K
96.2%1U
96.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
96.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
96.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
96.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
96.2%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes168.0ms (1.5%)

Memory
-0.8MiB live, 245.6MiB allocated
Counts
56 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
Outputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
Calls

10 calls:

24.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
19.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
18.0ms
U
18.0ms
(/.f64 K #s(literal 2 binary64))
17.0ms
l
Results
AccuracySegmentsBranch
96.2%1K
96.2%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
96.2%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
96.2%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
96.2%1(/.f64 K #s(literal 2 binary64))
96.2%1J
96.2%1l
96.2%1U
96.2%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
96.2%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes156.0ms (1.4%)

Memory
20.0MiB live, 281.9MiB allocated
Counts
55 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

22.0ms
(/.f64 K #s(literal 2 binary64))
16.0ms
l
16.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
16.0ms
K
15.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.4%2K
92.8%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
92.8%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
92.8%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
95.4%2(/.f64 K #s(literal 2 binary64))
92.8%1J
96.1%3l
92.8%1U
92.8%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
95.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes20.0ms (0.2%)

Memory
-15.8MiB live, 35.0MiB allocated
Counts
53 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
Outputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

17.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes43.0ms (0.4%)

Memory
-11.5MiB live, 26.8MiB allocated
Counts
52 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
Outputs
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

40.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes259.0ms (2.3%)

Memory
31.1MiB live, 220.5MiB allocated
Counts
51 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

63.0ms
(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
45.0ms
(/.f64 K #s(literal 2 binary64))
43.0ms
K
22.0ms
J
20.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Results
AccuracySegmentsBranch
89.8%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
87.1%1J
89.4%2U
90.1%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
90.2%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
87.1%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
95.8%5l
92.7%2K
92.7%2(/.f64 K #s(literal 2 binary64))
93.5%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes120.0ms (1.1%)

Memory
-47.4MiB live, 47.2MiB allocated
Counts
50 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(+.f64 (*.f64 #s(approx (* J (- (exp l) (exp (neg l)))) (*.f64 (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) l)) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

3 calls:

88.0ms
K
16.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
13.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
90.8%2K
90.8%2(/.f64 K #s(literal 2 binary64))
92.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 8 to 17 computations (-112.5% saved)

regimes15.0ms (0.1%)

Memory
11.7MiB live, 11.7MiB allocated
Counts
48 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

1 calls:

12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
92.1%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes27.0ms (0.2%)

Memory
21.6MiB live, 21.6MiB allocated
Counts
47 → 5
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
Calls

2 calls:

12.0ms
l
12.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
95.8%5l
89.2%4(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 5 to 11 computations (-120% saved)

regimes228.0ms (2%)

Memory
-24.8MiB live, 132.8MiB allocated
Counts
45 → 4
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Outputs
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

10 calls:

60.0ms
U
46.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
37.0ms
(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
16.0ms
l
12.0ms
(/.f64 K #s(literal 2 binary64))
Results
AccuracySegmentsBranch
89.2%4(cos.f64 (/.f64 K #s(literal 2 binary64)))
81.3%3J
87.5%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
77.3%2U
87.6%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
87.4%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
87.6%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
83.7%5K
83.7%5(/.f64 K #s(literal 2 binary64))
87.5%3l
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes119.0ms (1.1%)

Memory
23.0MiB live, 97.6MiB allocated
Counts
44 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (fma.f64 (*.f64 #s(literal 1/384 binary64) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64))) J (*.f64 (*.f64 #s(literal -1/46080 binary64) (*.f64 (*.f64 K K) J)) (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) (*.f64 K K))) (*.f64 K K) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (*.f64 (*.f64 (*.f64 J l) #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (*.f64 #s(literal 2 binary64) l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U)
(+.f64 #s(approx (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) (cos.f64 (*.f64 #s(literal -1/2 binary64) K)))) U)
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
(fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
Calls

6 calls:

38.0ms
(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
37.0ms
l
11.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
10.0ms
(+.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
82.5%3(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
84.8%4l
82.4%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
82.5%3(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
82.5%3(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
85.8%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 47 to 55 computations (-17% saved)

regimes231.0ms (2%)

Memory
13.2MiB live, 163.9MiB allocated
Counts
35 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (+ (* l (* (* 1/3 l) J)) (* J 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 l l) #s(literal 1/3 binary64))))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 #s(literal 1/3 binary64) l) l #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 #s(literal 1/384 binary64) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (*.f64 l (fma.f64 #s(literal 1/192 binary64) (*.f64 K K) #s(literal -1/4 binary64))) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (+.f64 (fma.f64 (*.f64 J l) (*.f64 #s(literal 1/3 binary64) l) J) J)) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (fma.f64 l (*.f64 (*.f64 J #s(literal 1/3 binary64)) l) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 (*.f64 K K) #s(literal -1/46080 binary64) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) (fma.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J)) K) K (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J))) l U))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (fma.f64 (fma.f64 (*.f64 l (fma.f64 #s(literal -1/23040 binary64) (*.f64 K K) #s(literal 1/192 binary64))) (*.f64 K K) (*.f64 #s(literal -1/4 binary64) l)) (*.f64 K K) (*.f64 #s(literal 2 binary64) l)))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 J #s(approx (+ (* (* l l) 1/3) 2) (*.f64 (*.f64 (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 l l)) #s(literal 1/3 binary64)) l) l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (fma.f64 (/.f64 J (*.f64 l l)) #s(literal 2 binary64) (*.f64 #s(literal 1/3 binary64) J)) l) l))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (fma.f64 (fma.f64 #s(literal -1/46080 binary64) (*.f64 K K) #s(literal 1/384 binary64)) (*.f64 K K) #s(literal -1/8 binary64)) (*.f64 K K) #s(literal 1 binary64))) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) #s(approx (+ (* (+ (* (* -1/8 (+ (* (* l l) 1/3) 2)) J) (* (+ (* (* 1/384 (+ (* (* l l) 1/3) 2)) J) (* (* -1/46080 (* (* K K) J)) (+ (* (* l l) 1/3) 2))) (* K K))) (* K K)) (* (+ (* (* l l) 1/3) 2) J)) (*.f64 (fma.f64 (fma.f64 (*.f64 (fma.f64 #s(literal 1/1152 binary64) J (*.f64 #s(literal -1/138240 binary64) (*.f64 (*.f64 K K) J))) K) K (*.f64 #s(literal -1/24 binary64) J)) (*.f64 K K) (*.f64 #s(literal 1/3 binary64) J)) (*.f64 l l)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (pow.f64 (*.f64 #s(literal 2 binary64) l) #s(literal 3 binary64)) J U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

10 calls:

59.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
44.0ms
U
38.0ms
(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
36.0ms
(/.f64 K #s(literal 2 binary64))
9.0ms
l
Results
AccuracySegmentsBranch
66.3%1U
72.5%3K
72.5%3(/.f64 K #s(literal 2 binary64))
69.4%2J
71.8%3(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
71.3%2(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
71.3%2(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
71.0%2(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
71.8%3l
77.2%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

regimes11.0ms (0.1%)

Memory
-17.4MiB live, 21.5MiB allocated
Counts
16 → 2
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (+.f64 J J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 (/.f64 (*.f64 J l) U) #s(literal 2 binary64) #s(literal 1 binary64)) U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) J) l) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 (*.f64 (*.f64 K K) l) J) #s(literal -1/4 binary64) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (fma.f64 l (*.f64 (*.f64 #s(literal 1/3 binary64) l) J) (*.f64 J #s(literal 2 binary64)))) l U))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (fma.f64 (sqrt.f64 (neg.f64 l)) (sqrt.f64 (neg.f64 l)) l) J U)))
Outputs
(fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U)
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

1 calls:

10.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
Results
AccuracySegmentsBranch
73.9%2(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 4 to 7 computations (-75% saved)

regimes59.0ms (0.5%)

Memory
2.5MiB live, 50.0MiB allocated
Counts
7 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (+ (* l (* (* 1/3 l) J)) (* J 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) l U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (+ l l) J) U) (*.f64 (fma.f64 #s(literal 2 binary64) l (/.f64 U J)) J))))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
Calls

9 calls:

38.0ms
K
3.0ms
(/.f64 K #s(literal 2 binary64))
3.0ms
J
3.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
3.0ms
l
Results
AccuracySegmentsBranch
66.3%1J
66.3%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
66.3%1l
66.3%1K
66.3%1(/.f64 K #s(literal 2 binary64))
66.3%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
66.3%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
66.3%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
66.3%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
Compiler

Compiled 52 to 69 computations (-32.7% saved)

regimes46.0ms (0.4%)

Memory
-3.8MiB live, 35.4MiB allocated
Accuracy

Total -19.7b remaining (-58.8%)

Threshold costs -19.7b (-58.8%)

Counts
3 → 1
Calls
Call 1
Inputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) #s(approx (+ (* (* 2 l) J) U) (*.f64 (*.f64 J l) #s(literal 2 binary64)))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (*.f64 #s(literal 2 binary64) l) J U)))
Outputs
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
Calls

10 calls:

29.0ms
(cos.f64 (/.f64 K #s(literal 2 binary64)))
2.0ms
J
2.0ms
K
2.0ms
(/.f64 K #s(literal 2 binary64))
2.0ms
U
Results
AccuracySegmentsBranch
47.6%1l
47.6%1(+.f64 (*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
47.6%1(*.f64 (*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))) (cos.f64 (/.f64 K #s(literal 2 binary64))))
47.6%1(*.f64 J (-.f64 (exp.f64 l) (exp.f64 (neg.f64 l))))
47.6%1(-.f64 (exp.f64 l) (exp.f64 (neg.f64 l)))
47.6%1J
47.6%1(cos.f64 (/.f64 K #s(literal 2 binary64)))
47.6%1U
47.6%1K
47.6%1(/.f64 K #s(literal 2 binary64))
Compiler

Compiled 53 to 73 computations (-37.7% saved)

bsearch1.0ms (0%)

Memory
0.5MiB live, 0.5MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.6MiB live, 0.6MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.4MiB live, 0.4MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
0.9413437455440251
0.9500121624962403
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch196.0ms (1.7%)

Memory
-28.4MiB live, 99.1MiB allocated
Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
narrow-enough
narrow-enough
Steps
TimeLeftRight
21.0ms
5.85835119656182e+91
2.6162373162595623e+99
74.0ms
4.5305346957249877e-11
0.009472643621340414
46.0ms
-1233079839.7915885
-3.198096243454284e-16
17.0ms
-1.8923329231458813e+61
-3.0352204678907638e+59
Samples
112.0ms576×0valid
Compiler

Compiled 1 922 to 1 657 computations (13.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 43.0ms
ival-cos: 13.0ms (30.1% of total)
ival-exp: 10.0ms (23.1% of total)
ival-mult: 7.0ms (16.2% of total)
ival-div: 3.0ms (6.9% of total)
ival-add: 3.0ms (6.9% of total)
ival-sub: 3.0ms (6.9% of total)
ival-neg: 2.0ms (4.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)
exact: 0.0ms (0% of total)

bsearch1.0ms (0%)

Memory
0.8MiB live, 0.8MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
0.0ms
-0.599745762614708
-0.5901859798641335
0.0ms
-0.8811153684011324
-0.8771217099539262
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch1.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.3MiB live, 0.3MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
Compiler

Compiled 18 to 21 computations (-16.7% saved)

bsearch0.0ms (0%)

Memory
0.2MiB live, 0.2MiB allocated
Algorithm
left-value
Steps
TimeLeftRight
0.0ms
-0.21233989872272016
-0.12346927471011304
Compiler

Compiled 18 to 21 computations (-16.7% saved)

simplify175.0ms (1.6%)

Memory
7.6MiB live, 46.6MiB allocated
Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01701034
12101034
22261034
32881034
43631034
54611034
65861034
77301034
88801034
910321034
1011861034
1113441034
1214891034
1316021034
1417121034
1518161034
1618711034
1719041034
1819251034
1919451034
2019611034
2119751034
2219881034
2320011034
2420071034
2520081034
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U)
(+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 l #s(literal -18000000000000000516216128053292220663631579647736517698256896 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -21/2 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 l #s(literal 1498797955988901/288230376151711744 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) (if (<=.f64 l #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432000 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7926335344172073/9007199254740992 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2679641778285445/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))
Outputs
(fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J 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 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U)
(+.f64 (*.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J)) U)
(fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2520 binary64) (*.f64 l l) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U)
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(literal 1/60 binary64) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) #s(literal 1/3 binary64)) l) l) l (*.f64 #s(literal 2 binary64) l))) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (fma.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (fma.f64 #s(approx (+ (* 1/2520 (* l l)) 1/60) #s(literal 1/60 binary64)) (*.f64 l l) #s(literal 1/3 binary64)) (*.f64 l l) #s(literal 2 binary64)) l)) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 J #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l))) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) (+.f64 (*.f64 (*.f64 #s(approx (- (exp l) (exp (neg l))) (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l)) J) (cos.f64 (/.f64 K #s(literal 2 binary64)))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64)) (*.f64 J (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) J) (fma.f64 #s(literal 1/3 binary64) (*.f64 l l) #s(literal 2 binary64))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal -1/2 binary64) K)) (*.f64 J (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal 4278419646001971/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) J) (cos.f64 (*.f64 K #s(literal -1/2 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 l #s(literal -18000000000000000516216128053292220663631579647736517698256896 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -21/2 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 l #s(literal 1498797955988901/288230376151711744 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) (if (<=.f64 l #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432000 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(if (<=.f64 l #s(literal -18000000000000000516216128053292220663631579647736517698256896 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))))) (if (<=.f64 l #s(literal -21/2 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (if (<=.f64 l #s(literal 1498797955988901/288230376151711744 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) (*.f64 (+.f64 l l) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))) J U) (if (<=.f64 l #s(literal 2599999999999999963640761196346624084995333953685016895646871602928857230691802686255330788114432000 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J) (cos.f64 (*.f64 #s(literal 1/2 binary64) K)))))))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7926335344172073/9007199254740992 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2679641778285445/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) K)) (*.f64 J #s(literal 2 binary64))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -7926335344172073/9007199254740992 binary64)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -2679641778285445/4503599627370496 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 (*.f64 J #s(literal 2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) K))) l U)) (if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 (sinh.f64 l) #s(literal 2 binary64))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) l U)) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) #s(literal 1 binary64)) (*.f64 #s(literal 2 binary64) (sinh.f64 l))) J U))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64))) #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) (fma.f64 (*.f64 #s(approx (* J (+ (* (* l l) 1/3) 2)) (*.f64 (*.f64 (*.f64 l l) J) #s(literal 1/3 binary64))) #s(approx (cos (* -1/2 K)) (fma.f64 (*.f64 K K) #s(literal -1/8 binary64) #s(literal 1 binary64)))) l U)) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 l (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64))))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
(if (<=.f64 (cos.f64 (/.f64 K #s(literal 2 binary64))) #s(literal -3602879701896397/18014398509481984 binary64)) (fma.f64 #s(approx (* (cos (* -1/2 K)) (* (sinh l) 2)) #s(approx (* (* 2 l) (cos (* 1/2 K))) (*.f64 (fma.f64 #s(literal -1/4 binary64) (*.f64 K K) #s(literal 2 binary64)) l))) J U) #s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U))))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (cos (* -1/2 K)) (* J (+ (* (* l l) 1/3) 2))) l) U) (fma.f64 (*.f64 (fma.f64 (*.f64 l l) #s(literal 1/3 binary64) #s(literal 2 binary64)) l) J U)))
#s(approx (+ (* (* J (- (exp l) (exp (neg l)))) (cos (/ K 2))) U) #s(approx (+ (* (* (* 2 J) l) (cos (* -1/2 K))) U) (fma.f64 (+.f64 l l) J U)))

soundness1.6s (14.4%)

Memory
31.0MiB live, 1 372.5MiB allocated
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01448
02340
18540
263240
0821539
04092269
116282218
273612214
081242047
049372
083352
1318350
22489350
08122348
0157781
1614781
22550671
08052614
04592244
118032191
279502191
080032026
060378
093368
1375368
22828368
08515364
078629
0125607
1522598
24405598
08149577
Stop Event
fuel
iter limit
node limit
iter limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
node limit
iter limit
iter limit
node limit
iter limit
node limit
iter limit
Compiler

Compiled 1 928 to 935 computations (51.5% saved)

preprocess195.0ms (1.7%)

Memory
-4.7MiB live, 194.4MiB allocated
Remove

(abs K)

Compiler

Compiled 2 170 to 450 computations (79.3% saved)

end0.0ms (0%)

Memory
0.0MiB live, 0.0MiB allocated

Profiling

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